Aes Key Generator 128 Bit

  

AES is a symmetric key encryption cipher, and it is generally regarded as the “gold standard” for encrypting data.

AES is NIST-certified and is used by the US government for protecting “secure” data, which has led to a more general adoption of AES as the standard symmetric key cipher of choice by just about everyone. It is an open standard that is free to use for any public, private, commercial, or non-commercial use.

It can do this using 128-bit, 192-bit, or 256-bit keys. AES using 128-bit keys is often referred to as AES-128, and so on. The following diagram provides a simplified overview of the AES process Plain text. This is the sensitive data that you wish to encrypt. This is a 128-bit, 192-bit, or 256-bit variable created by an algorithm. What is the maximum key size for AES 128, Will using a key greater than maximum gives extra security or error? Is there a minimum key size? Suppose a key is 128 bit, does it means The key is of length 16characters. Suggest me a good password to key function.

An introduction to AES encryption

AES is a symmetric key encryption cipher. This means that the same key used to encrypt the data is used to decrypt it. This does create a problem: how do you send the key in a secure way?

Asymmetric encryption systems solve this problem by securing data using a public key which is made available to everyone. It can only be decrypted by an intended recipient who holds the correct private key.

This makes asymmetric encryption much better at securing data in transit as the sender does not need to know the recipient’s private key. A good example is RSA encryption, which is used to secure the TLS key exchanges required when connecting to a secure HTTPS website.

Symmetric ciphers like AES are therefore much better at securing data while at rest – such as when it is stored on your hard drive. For this purpose, they are superior to asymmetric ciphers because:

  • They require much less computational power. This makes encrypting and decrying data with symmetric encryption much faster than with asymmetric encryption. For perspective, symmetric ciphers are generally quoted as being around “1000 times faster” than asymmetric ones.
  • And because they are faster, symmetric ciphers are much more useful for bulk encrypting large amounts of data. Asymmetric ciphers such as RSA are only really used for encrypting small amounts of data, such as the keys used to secure symmetric key encryption.
Aes

Of course, in today’s connected world, data that just sits on your hard drive is of limited use. Fortunately, it can be safely transferred over the internet in conjunction with asymmetric encryption, which used to handle the remote key exchanges required to securely connect to a remote server.

OpenVPN, for example, secures the raw data with a symmetric cipher – usually AES these days. In order to transfer the encrypted data securely between your PC and the VPN server, it uses an asymmetric TLS key exchange to negotiate a secure connection to the server.

Is AES encryption the best type of encryption?

AES is widely regarded as the most secure symmetric key encryption cipher yet invented. Other symmetric key ciphers that are considered to be highly secure also exist, such as Twofish, which was co-invented by renowned cryptographer Bruce Schneier.

Such ciphers have not been battle-tested in the way that AES has, though. And hey, if the US government thinks AES is the best cipher to protect its “secure” data, who’s arguing? There are some, however, who see this as a problem. Please see the section on NIST below.

Widespread adoption has benefited AES in other ways. Most CPU manufacturers have now integrated the AES instruction set into their processors. The hardware boost improves AES performance on many devices as well as improving their resistance to side-channel attacks.

Can 128-bit AES encryption be broken?

AES itself is unbreakable when implemented properly.

In 2011 the fastest supercomputer in the word was the Fujitsu K. This was capable of an Rmax peak speed of 10.51 petaflops. Based on this figure, it would take Fujitsu K 1.02 x 10^18 - around one billion billion (one quintillion) - years to crack a 128-bit AES key by force. This is older than the age of the universe (13.75 billion years).

The most powerful supercomputer in the world in 2017 was the Sunway TaihuLight in China. This beast is capable of a peak speed of 93.02 petaflops. This means that the most powerful computer in the world would still take some 885 quadrillion years to brute force a 128-bit AES key.

The number of operations required to brute force a 256-bit cipher is 3.31 x 10^56. This is roughly equal to the number of atoms in the universe!

Back in 2011, cryptography researchers identified a weakness in AES that allowed them to crack the algorithm four times faster than was possible previously. But as one of the researchers noted at the time:

“To put this into perspective: on a trillion machines, that each could test a billion keys per second, it would take more than two billion years to recover an AES-128 key.”

In response to this attack, an additional four rounds (see later) were added to the AES-128 encryption process to increase its safety margin.

Side Channel attacks

So to all intents and purposes, AES itself is unbreakable when implemented properly. But it not always implemented properly.

Side-channel attacks look for clues from the computer system implementing the AES encryption in order to find out additional information. This may be useful in reducing the number of possible combinations required to brute force AES.

These attacks use timing information (how long it takes the computer to perform computations), electromagnetic leaks, audio clues, and even optical clues picked up using a high resolution camera to discover extra information about how the system is processing the AES encryption.

A well-known side-channel attack against AES successfully deduced AES-128 encryption keys by carefully monitoring the cipher’s shared use of the processors’ cache tables.

Properly implemented AES mitigates against side-channel attacks by preventing possible ways data can leak (which is where use of the hardware-based AES instruction set helps) and by using randomization techniques to eliminate the relationship between data protected by the cipher and any leaked data that could be collected using a side-channel attack.

Insecure Passwords

AES encryption is only as secure as its key. These keys are invariable themselves secured using passwords, and we all know how terrible us humans are at using secure passwords. Keyloggers introduced by viruses, social engineering attacks, and suchlike, can also be effective ways to compromise the passwords which secure AES keys.

Use of password managers greatly mitigates against this problem, as does use of two-way firewalls, good antivirus software, and greater education about security issues.

A brief history of AES encryption

When you were a kid, did you play the game in which you created a “secret message” by substituting one letter of the message with another? The substitution was made according to a formula picked by you.

You might, for example, have substituted each letter of the original message with one three letters behind it in the alphabet. If anyone else knew what this formula was, or was able to work it out, then they would be able to read your “secret message.”

In cryptography jargon, what you were doing was “encrypting” the message (data) according to a very simple mathematical algorithm.

Encryption has been used hide to sensitive data since ancient times, but really came in its own during the Twentieth Century. During World War 2 the Germans famously secured their communications using the Enigma machine, the code for which was equally famously cracked by Alan Turing at Bletchley Park.

What is DES encryption

The Data Encryption Standard (DES) was created in the mid-1970s to secure US government communications. It became the first modern, public, freely available encryption algorithm, and as such almost single-handedly created the modern discipline of cryptography.

Aes key generator 128 bit free

Although developed by IBM, DES was the brainchild of National Bureau of Standards (NBS, which later became NIST).

Despite concerns about meddling by the NSA, DES was adopted by the US government in 1976 for 'sensitive but unclassified' traffic. This included things like personal, financial and logistical information.

Since there was nothing else like it at the time, it quickly became widely adopted by commercial companies who required encryption to secure their data. As such, DES (which used 56-bit keys) became the default workhorse encryption standard for almost two decades.

This almost ubiquitous adoption was greatly helped by DES being awarded Federal Information Processing Standards (FIPS) status. All US non-military government agencies and civilian government contractors are required to use FIPS standards only.

By the mid-1990s, however, DES beginning to show its age. At this time it was widely believed that the NSA could brute-force crack DES, a point proved in 1998 when a $220,000 machine built by the Electronic Frontier Foundation (EFF) successfully brute-forced DES in just two days. It was clearly time for a new standard.

How AES came about

In 1997 the National Institute of Standards and Technology of the United States (NIST) announced that was looking for a replacement to DES. In November 2001 it announced that the winner: AES, formerly known as Rijndael after one of its co-creators.

On NIST’s recommendation, the new cipher was formally adopted by the US federal government and came into effective use in May 2002. Like DES before it, AES was awarded FIPS status. The US government considers all AES key sizes to be sufficient for classified information up to the 'Secret' level, with 'Top Secret' information requiring AES-192 or AES-256.

AES has now entirely replaced DES worldwide as the default workhorse symmetric encryption standard.

How does AES encryption work?

The AES encryption algorithm encrypts and decrypts data in blocks of 128 bits. It can do this using 128-bit, 192-bit, or 256-bit keys. AES using 128-bit keys is often referred to as AES-128, and so on.

The following diagram provides a simplified overview of the AES process…


Plain text

This is the sensitive data that you wish to encrypt.

Secret Key

This is a 128-bit, 192-bit, or 256-bit variable created by an algorithm.

Cipher

The actual AES cipher then performs a series of mathematic transformations using the plaintext and the secret key as a starting point. In order, these are:

  1. Key expansion. This uses the original secret key to derive a series of new “round keys” using the Rijndael’s key schedule algorithm.
  2. Mixing. Each round key is combined with the plaintext using the additive XOR algorithm.


  3. Substitution of the resultant data using a substitution table. This step is very similar in principle (if much more complex in practice) to the substitution ciphers you created as a kid.

  4. Shift rows. In which every byte in the 4 x 4 column of sixteen bytes that makes up a 128-bit block is shifted to the right.

5. Mix columns. A further algorithm is applied to each column.

Rise and repeat. The process is repeated a number of times, with each repeat known as a round. Each round is re-encrypted using one of the round keys generated during key expansion (step 1).

The number of rounds performed depends on the key length used. AES-128 uses ten rounds, AES-192 uses twelve rounds, and AES-256 uses fourteen rounds.

Each added round reduces the chance of a shortcut attack of the kind that was used to attack AES-128 back 2011. As already noted as a consequence of this attack an additional four rounds were added to AES-128 in order to improve its safety margins.

Cipher text

This is the encrypted output from the cipher after it has passed through the specified number of rounds.

How to Decrypt AES encryption

Decrypting AES is simple – just reverse all the above steps, starting with the inverse round key. Of course, you need to have the original secret key in order to reverse the process using each inverse round key.

Does encrypting a file make it larger?

Yes. Usually. AES uses a fixed block size of 16-bytes. If a file is not a multiple of a block size, then AES uses padding to complete the block.

In theory, this does not necessarily mean an increase in the size of encrypted data (see ciphertext stealing), but simply adding data to pad out the block is usually much easier. Which increases the amount of data which is encrypted.

Anecdotal evidence suggests that files larger than 1 MB encrypted with AES tend to be around 35% larger than before encryption.

How important are key sizes in AES encryption?

The crudest way to measure the strength of a cipher is by the size of its key. The larger the key the more possible combinations there are.

AES is can be used with 126-bit, 192-bit, or 256-bit key sizes. The original Rijndael cipher was designed to accept additional key lengths, but these were not adopted into AES.

Brute force attacks

The more complex the algorithm, the harder the cipher is to crack using a brute force attack. This very primitive form attack is also known as an exhaustive key search. It basically involves trying every combination of numbers possible until the correct key is found.

As we are sure you know, computers perform all calculations using binary numbers: zeros and ones. And as we have seen, the complexity of a cipher depends on its key size in bits - the raw number of ones and zeros necessary to express its algorithm, where each zero or one is represented by a single bit.

This is known as the key length, and also represents the practical feasibility of successfully performing a brute force attack on any given cipher.

The number of combinations possible (and therefore the difficulty of brute force them) increases exponentially with key size. For AES:

As we have already discussed, it would take the fastest supercomputer in the world longer than the age of the universe to crack even an AES-128 key by force!

Encryption rounds

As we have also discussed, the longer the key used by AES, the more it encryption rounds it goes through. This is primarily to prevent shortcut attacks which can reduce the computational complexity of ciphers, and which therefore make it easier to brute force the cipher.

As renounced cryptographer Bruce Schneier said of the 2011 shortcut attack on AES-128,

“Cryptography is all about safety margins. If you can break n round of a cipher, you design it with 2n or 3n rounds.”

He did recommend introducing more rounds for each key size to AES, but NIST deems the current levels sufficient.

So why use more than AES-128?

All of which begs the question: if it would take longer than the age of the universe to crack even AES-128, why bother using AES-192 or AES-256? As Schneier noted:

“I suggest that people don't use AES-256. AES-128 provides more than enough security margin for the foreseeable future. But if you're already using AES-256, there's no reason to change.”

Indeed, Schneier has argued in the past that AE-128 is, in fact, more secure that AES, because it has a stronger key schedule than AES-256.

So why is AES-256 held up as the gold standard of symmetric key encryption?

Safety margins

The 2011 shortcut attack demonstrates that no matter how secure experts think a cryptograph algorithm to be, inventive people will always find ways that nobody ever thought of to weaken them.

As with the number of rounds used, a larger key size provides a higher safety margin against being cracked.

Bling

Aes Key Gen

The effect of marketing should not be ignored when considering the ubiquitousness of AES-256 encryption. The simple fact that AES-256 is widely regarded as the most secure symmetric encryption cipher in the world makes it the number one choice for many.

I mean, if AES-128 is good, then it only stands to reason that AES-256 must be better, right?

The fact the US government uses AES-256 to secure its most sensitive data only adds to its “bling” value, and allows VPN companies and the like to claim they use “military grade” encryption.

128 Bit Aes Key Generator

Given that this ”bling perception” is (largely) accurate, there is little harm in the popularity of AES-256 (although see notes on NIST below).

AES and OpenVPN

VPN users, in particular, however, should be careful. Most VPN services use AES-256 to secure data transmitted by the OpenVPN protocol, but this is one of the various mechanisms used by OpenVPN to keep data secure.

A TLS connection secures transfer of the encryption keys used by AES to secure data when using OpenVPN. So if the OpenVPN TLS (control channel) settings are weak, then the data can become compromised despite being encrypted using AES-256. Please see our Ultimate Guide to VPN Encryption for more details.

AES-CBC vs AES-GCM

Until recently the only AES cipher that you were likely to encounter in the VPN world was AES-CBC (Cipher Block Chaining). This refers to the block cipher mode, a complex subject that is not really worth going into here.

Although CBC may theoretically have some vulnerabilities, the consensus is that CBC is secure. CBC is, indeed, recommended in the OpenVPN manual.

OpenVPN now also supports AES-GCM (Galios/Counter Mode). GCM provides authentication, removing the need for an HMAC SHA hashing function. It is also slightly faster than CBC because it uses hardware acceleration (by threading to multiple processor cores).

AES-CBC remains the most common mode in general use, but AES-GCM is increasing in popularity. Given the advantages of GCM, this trend is only likely to continue. From a cryptographic perspective, though, both AES-CBC and AES-GCM are highly secure.

NIST

AES is a NIST-certified standard. This is a body that by its own admission works closely with the NSA in the development of its ciphers.

Given what we now know of the NSA’s systematic efforts to weaken or build backdoors into international encryption standards, there is every reason to question the integrity of NIST algorithms. NIST, of course, strongly refutes such allegations:

NIST would not deliberately weaken a cryptographic standard.

It has also invited public participation in a number of upcoming proposed encryption standards, in a move designed to bolster public confidence.

The New York Times, however, accused the NSA of circumventing NIST-approved encryption standards by either introducing undetectable backdoors or subverting the public development process to weaken the algorithms.

This distrust was further bolstered when RSA Security (a division of EMC) privately told customers to stop using an encryption algorithm that reportedly contains a flaw engineered by the NSA. This algorithm had also been endorsed by NIST.

Furthermore, Dual_EC_DRBG (Dual Elliptic Curve Deterministic Random Bit Generator) is an encryption standard engineered by NIST. It has been known to be insecure for years.

In 2006 the Eindhoven University of Technology in the Netherlands noted that an attack against it was easy enough to launch on “an ordinary PC.” Microsoft engineers also flagged up a suspected backdoor in the algorithm.

Despite these concerns, where NIST leads, the industry follows. This is in large part due to the fact that compliance with NIST standards is a prerequisite to obtaining US government contracts (FIPS).

NIST-certified cryptographic standards such as AES are pretty much ubiquitous worldwide, throughout all areas of industry and business that rely on privacy. This makes the whole situation rather chilling.

Perhaps precisely because so much relies on these standards, cryptography experts have been unwilling to face up to the problem.

Image credit: xkcd.com/538.

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Perfect Passwords
GRC's Ultra High Security
Password Generator
2,618 sets of passwords generated per day
33,542,791 sets of passwords generated for our visitors
DETECT “SECURE” CONNECTION INTERCEPTION with GRC's NEW HTTPS fingerprinting service!!

Generating long, high-quality random passwords is
not simple. So here is some totally random raw
material, generated just for YOU, to start with.

Every time this page is displayed, our server generates a unique set of custom, high quality, cryptographic-strength password strings which are safe for you to use:

64 random hexadecimal characters (0-9 and A-F):
15AF61C052BC521E97B6B41C72F7DED120B0D626F2AEFADA473DBBFF21D3F6C9

63 random printable ASCII characters:
#8YdA/:Mn6-c[h8RB+s<}{N_Po!o^]fU[Tl#GTHpp;1I#2b)>c2T8_M'V>NP,V~

63 random alpha-numeric characters (a-z, A-Z, 0-9):
jYa1ONSMbnkNWu7n2YzS9nQo3HpqEGz4pDmAvCVhDg0HU85Cw7zHrjiwcTfNkUb
Click your web browser's 'refresh' button a few times and watch the password strings change each time.

What makes these perfect and safe?
Every one is completely random (maximum entropy) without any pattern, and the cryptographically-strong pseudo random number generator we use guarantees that no similar strings will ever be produced again.

Also, because this page will only allow itself to be displayed over a snoop-proof and proxy-proof high-security SSL connection, and it is marked as having expired back in 1999, this page which was custom generated just now for you will not be cached or visible to anyone else.

Therefore, these password strings are just for you. No one else can ever see them or get them. You may safely take these strings as they are, or use chunks from several to build your own if you prefer, or do whatever you want with them. Each set displayed are totally, uniquely yours — forever.

The 'Application Notes' section below discusses various aspects of using these random passwords for locking down wireless WEP and WPA networks, for use as VPN shared secrets, as well as for other purposes.

The 'Techie Details' section at the end describes exactly how these super-strong maximum-entropy passwords are generated (to satisfy the uber-geek inside you).



Application Notes:

A note about 'random' and 'pseudo-random' terminology:
Throughout this page I use the shorthand term 'random' instead of the longer but more precise term 'pseudo-random'. I use the output of this page — myself — for any purpose, without hesitation, any time I need a chunk of randomness because there is no better place to find anything more trusted, random and safe. The 'pseudo-randomness' of these numbers does not make them any less good.

There are ways to generate absolutely random numbers, but computer algorithms cannot be used for that, since, by definition, no deterministic mathematical algorithm can generate a random result. Electrical and mechanical noise found in chaotic physical systems can be tapped and used as a source of true randomness, but this is much more than is needed for our purposes here. High quality algorithms are sufficient.

The deterministic binary noise generated by my server, which is then converted into various displayable formats, is derived from the highest quality mathematical pseudo-random algorithms known. In other words, these password strings are as random as anything non-random can be.

This page's password 'raw material':
The raw password material is provided in several formats to support its use in many different applications. Each of the password strings on the page is generated independently of every other, based upon its own unique pseudo-random binary data. So there is no underlying similarity in the data among the various format passwords.

64 hex characters = 256 binary bits:

A88C14B357862330C7B84CA7B453914AB71F5EEA05342CB43BF85AC6FDFD3F19
Each of the 64 hexadecimal characters encodes 4 bits of binary data, so the entire 64 characters is equivalent to 256 binary bits — which is the actual binary key length used by the WiFi WPA pre-shared key (PSK). Some WPA-PSK user interfaces (such as the one in Windows XP) allows the 256-bit WPA pre-shared key to be directly provided as 64 hexadecimal characters. This is a precise means for supplying the WPA keying material, but it is ONLY useful if ALL of the devices in a WPA-protected WiFi network allow the 256-bit keying material to be specified as raw hex. If any device did not support this mode of specification (and most do not) it would not be able to join the network.

Using fewer hex characters for WEP encryption:
If some of your WiFi network cannot support the newer and much stronger (effectively unbreakable when used with maximum-entropy keys like these) WPA encryption system, you'll be forced either to run two WiFi networks in parallel (which is totally feasible — one super-secure and one at lower security) or to downgrade your entire network to weaker WEP encryption. Still, ANY encryption is better than no encryption.

WEP key strength (key length) is sometimes confusing because, although there are only two widely accepted standard lengths, 40-bit and 104-bit, those lengths are sometimes confused by adding the 24-bit IV (initialization vector) counter to the length, resulting in 64-bit and 128-bit total key lengths.

However, the user only ever specifies a key of either 40 or 104 binary bits. Since WEP keys should always be specified in their hexadecimal form to guarantee device interaction, and since each hex digit represents 4 binary bits of the key, 40 and 104 bit keys are represented by 10 and 26 hex digits respectively. So you may simply snip off whatever length of random hex characters you require for your system's WEP key.

Note that if all of your equipment supports the use of the new longer 256/232 bit WEP keys, you would use 232/4 or 58 hexadecimal characters for your pre-shared key.


63 printable ASCII characters hashed down to 256 binary bits:

1VV!#cmU+F%UWV/u=hYN&RG$dn'$zU{r)i?Us7o/]r qZ(f6)EY9:S-X&}Z+@7

Key Generator For Games

The more 'standard' means for specifying the 256-bits of WPA keying material is for the user to specify a string of up to 63 printable ASCII characters. This string is then 'hashed' along with the network's SSID designation to form a cryptographically strong 256-bit result which is then used by all devices within the WPA-secured WiFi network. (The ASCII character set was updated to remove SPACE characters since a number of WPA devices were not handling spaces as they should.)


The 63 alphanumeric-only character subset:

KLn50dZ0rjfk5xStnAItC9JUUZDqC9htqi4AWIBtkTqhuczP7It8umrJ5YM6ksD
If some device was not following the WiFi Alliance WPA specification by not hashing the entire printable ASCII character set correctly, it would end up with a different 256-bit hash result than devices that correctly obeyed the specification. It would then be unable to connect to any network that uses the full range of printable ASCII characters.

Since we have heard unconfirmed anecdotal reports of such non-compliant WPA devices (and since you might have one), this page also offers 'junior' WPA password strings using only the 'easy' ASCII characters which even any non-fully-specification-compliant device would have to be able to properly handle. If you find that using the full random ASCII character set within your WPA-PSK protected WiFi network causes one of your devices to be unable to connect to your WPA protected access point, you can downgrade your WPA network to 'easy ASCII' by using one of these easy keys.

And don't worry for a moment about using an easy ASCII key. If you still use a full-length 63 character key, your entire network will still be EXTREMELY secure. And PLEASE drop us a line to let us know that you have such a device and what it is!


Shorter pieces are random too:
A beneficial property of these maximum entropy pseudo-random passwords is their lack of 'inter-symbol memory.' This means that in a string of symbols, any of the possible password symbols is equally likely to occur next. This is important if your application requires you to use shorter password strings. Any 'sub-string' of symbols will be just as random and high quality as any other.


When does size matter?
The use of these maximum-entropy passwords minimizes (essentially zeroes) the likelihood of successful 'dictionary attacks' since these passwords won't appear in any dictionary. So you should always try to use passwords like these.

When these passwords are used to generate pre-shared keys for protecting WPA WiFi and VPN networks, the only known attack is the use of 'brute force' — trying every possible password combination. Brute force attackers hope that the network's designer (you) were lazy and used a shorter password for 'convenience'. So they start by trying all one-character passwords, then two-character, then three and so on, working their way up toward longer random passwords.

Since the passwords used to generate pre-shared keys are configured into the network only once, and do not need to be entered by their users every time, the best practice is to use the longest possible password and never worry about your password security again.

Note that while this 'the longer the better' rule of thumb is always true, long passwords won't protect legacy WEP-protected networks due to well known and readily exploited weaknesses in the WEP keying system and its misuse of WEP's RC4 encryption. With WEP protection, even a highly random maximum-entropy key can be cracked in a few hours. (Listen to Security Now! episode #11 for the full story on cracking WEP security.)


The Techie Details:
Since its introduction, this Perfect Passwords page has generated a great deal of interest. A number of people have wished to duplicate this page on their own sites, and others have wanted to know exactly how these super-strong and guaranteed-to-be-unique never repeating passwords are generated. The following diagram and discussion provides full disclosure of the pseudo-random number generating algorithm I employed to create the passwords on this page:



While the diagram above might at first seem a bit confusing, it is a common and well understood configuration of standard cryptographic elements. A succinct written description of the algorithm would read: 'Rijndael (AES) block encryption of never-repeating counter values in CBC mode.'
CBC stands for 'Cipher Block Chaining' and, as I describe in detail in the second half of Security Now! Episode #107, CBC provides necessary security in situations where some repetition or predictability of the 'plaintext' message is present. Since the 'plaintext' in this instance is a large 128-bit steadily-increasing (monotonic) counter value (which gives us our guaranteed never-to-repeat property, but is also extremely predictable) we need to scramble it so that the value being encrypted cannot be predicted. This is what 'CBC' does: As the diagram above shows, the output from the previous encryption operation is 'fed back' and XOR-mixed with the incrementing counter value. This prevents the possibility of determining the secret key by analysing successive counter encryption results.
One last detail: Since there is no 'output from the previous encryption' to be used during the encryption of the first block, the switch shown in the diagram above is used to supply a 128-bit 'Initialization Vector' (which is just 128-bits of secret random data) for the XOR-mixing of the first counter value. Thus, the first encryption is performed on a mixture of the 128-bit counter and the 'Initialization Vector' value, and subsequent encryptions are performed on the mixture of the incrementing counter and the previous encrypted result.
The result of the combination of the 256-bit Rijndael/AES secret key, the unknowable (therefore secret) present value of the 128-bit monotonically incrementing counter, and the 128-bit secret Initialization Vector (IV) is 512-bits of secret data providing extremely high security for the generation of this page's 'perfect passwords'. No one is going to figure out what passwords you have just received.
How much security do 512 binary bits provide? Well, 2^512 (2 raised to the power of 512) is the total number of possible combinations of those 512 binary bits — every single bit of which actively participates in determining this page's successive password sequence. 2^512 is approximately equal to: 1.34078079 x 10^154, which is this rather amazing number:
13, 407, 807, 929, 942, 597, 099, 574, 024, 998, 205,
846, 127, 479, 365, 820, 592, 393, 377, 723, 561, 443,
721, 764, 030, 073, 546, 976, 801, 874, 298, 166, 903,
427, 690, 031, 858, 186, 486, 050, 853, 753, 882, 811,
946, 569, 946, 433, 649, 060, 084, 096
As far as the crypto experts know, the only workable 'attack' on the Rijndael (AES) cipher lying at the heart of this system is 'brute force' — which means trying each one of those many combinations of 512 bits. In other words, the passwords being generated by GRC's server and presented for your exclusive use on this page, are safe.

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