Saturday 20 January 2024

 How to look and place 8(to)7 post quantum encryption, when you only know the basic principles of Falcon encryption, or CRYSTALS-Kyber encryption.



Numerous requests prompted us to outline the distinctions and similarities between 8to7 Post-Quantum encryption and Falcon encryption, as well as CRYSTALS-Kyber encryption.

We can unequivocally state that there is no comparison; our approach in post-quantum encryption introduces something entirely novel. We refrain from merely stacking existing encryptions or adhering to the traditional Bob and Alice principles. Upon delving into our material, you will likely be convinced that both existing and new encryptions fade into insignificance when compared to the robustness of our ecosystem.

 

8(to)7 will be the new standard in Post quantum Encryption, we have no doubt about that

 

 

Let's start with a brief overview on:

Falcon encryption, as well as CRYSTALS-Kyber encryption.

 

 

 

 

The encoding speed of the Falcon encryption system depends on several factors, including the size of the data block, the length of the key, and the algorithm used. Overall, Falcon's encoding speed is about 200 Mbps for a 128-bit data block and a 128-bit key. This means Falcon can encrypt 200 million bits of data per second.

 

Here are more details about Falcon encoding speed for various parameters:

 

Data Block Size: Falcon encoding speed increases as the data block size increases. For example, for a 256-bit data block, Falcon's encoding speed is about 400 Mbps.

Key Length: Falcon's coding speed decreases as key length increases. For example, for a 256-bit key, Falcon's encoding speed is about 150 Mbps.

Algorithm used: Falcon encoding speed also depends on the algorithm used. For example, the Falcon-512 algorithm is faster than the Falcon-128 algorithm.

For example, for a data block of 128 bits and a key of 128 bits, Falcon's encoding speed is about 200 Mbps. This means Falcon can encrypt 200 million bits of data per second. This is fast enough for most applications, including network traffic encryption, disk encryption, and file encryption.

 

It is important to note that Falcon encoding speed may vary depending on the specific implementation. For example, some Falcon implementations may be optimized to use certain hardware platforms.

 

The encoding speed of the CRYSTALS-Kyber encryption system depends on several factors, including the size of the data block, the length of the key, and the implementation used. Overall, the CRYSTALS-Kyber encoding speed is about 1.5 Gbps for a 128-bit data block and a 256-bit key. This means that CRYSTALS-Kyber can encrypt 1.5 billion bits of data per second.

 

Here are more details about CRYSTALS-Kyber encoding speed for various parameters:

 

Data Block Size: CRYSTALS-Kyber encoding speed increases as the data block size increases. For example, for a 256-bit data block, the CRYSTALS-Kyber encoding speed is about 3 Gbps.

Key Length: CRYSTALS-Kyber's encoding speed decreases as the key length increases. For example, for a 512-bit key, the CRYSTALS-Kyber encoding speed is about 1 Gbit/s.

Implementation used: The encoding speed of CRYSTALS-Kyber also depends on the implementation used. For example, some implementations of CRYSTALS-Kyber may be optimized for use on certain hardware platforms.

For example, for a data block of 128 bits and a key length of 256 bits, the CRYSTALS-Kyber encoding speed is about 1.5 Gbps. This means that CRYSTALS-Kyber can encrypt 1.5 billion bits of data per second. This is fast enough for most applications, including network traffic encryption, disk encryption, and file encryption.

 

It is important to note that CRYSTALS-Kyber encoding speed may vary depending on the specific implementation. For example, some implementations of CRYSTALS-Kyber may be optimized for use on certain hardware platforms.

 

 

 

Our encryption system offers distinct advantages when compared to others:

 

Altering a single bit results in a comprehensive transformation of the entire file.

Modifying a single bit leads to a complete alteration in the ENTIRE encoding ALGORITHM, where the conversion functions undergo ABSOLUTE changes.

The coding complexity is solely dependent on computational power, and even with the integration of quantum computing and ultra-fast AI, updating the outdated version (without complete decoding) with a more modern one (even without altering the algorithm, but by adding rounds) is sufficient. This ensures that the file's cryptographic protection is consistently updated.

The key's multifactorial nature allows the incorporation of varied information (diverse in type and number of individual keys, and variable in key length) and media sources, complicating key selection.

Speed stands out as a key advantage of this technology. Instead of relying on a small number of intricate and slow functions, we leverage a large number of simpler and faster functions. This approach enhances encryption strength (increasing the number of changes per unit of data) and facilitates algorithm adaptation to even the most basic microcontrollers, enabling the technology to be universally applied.

 

 

Here are several primary advantages, accompanied by additional benefits that markedly differ from contemporary encryption methods. In our scenario, we establish a unique ecosystem with its proprietary format, rendering it inaccessible to anyone other than the owner.

 

The average speed of processing data stands at 240-280 megabytes per second with a 512-byte key. The minimum key size is 4,096 bits.

 

For enthusiasts of our algorithm, here's a partial breakdown of the code:

 

 

CheckFormAndMakeKey5: This function checks if the key form is visible and, if so, hides it. It also generates a 256-bit key Key5 from the key form data.

 

EcoIn: This function encrypts a file and saves it to a new file. It reads the file in blocks orrent byte of the key, and the current byte of the transformation matrix MAT.

 

FreshQMAT: This function modifies the transformation matrix MAT based on the current block index. The specific operation depends on the value of the varSeed parameter.

 

Encoding_IQ2: This function encrypts a block of data using the Key5 and MAT. It first XORs each byte of the data with the corresponding byte of the key. Then, it applies a transformation based on the transformation matrix MAT.

 

The overall encryption process involves generating a 256-bit key, using it to encrypt blocks of data, and applying a transformation matrix to the encrypted data. The exact details of the encryption algorithm are not clear from the provided code, but it appears to be a combination of XOR, rotation, and addition operations.f 256 bytes, encrypts each block using the Encoding_IQ2 function, and writes the encrypted block to the new file.

 

FreshQQKey: This function modifies the key Key5 by adding the current block index, the cu

 

Mathematical formula

 

The mathematical formula for this code is as follows:

 

E(d) = XOR(d, K) * MAT

where:

 

E(d) is the encrypted value

d is the original data

K is the key

MAT is the transformation matrix

How the algorithm works

 

The algorithm works as follows:

 

A 256-bit key K is generated.

The original data d is split into blocks of 256 bytes.

Each block of data is encrypted using the following formula:

b' = XOR(b, K) * MAT

where:

 

b is the original data block

b' is the encrypted data block

The encrypted data blocks are written to a new file.

More details about each step

 

Key generation

 

The key K is generated from the data entered by the user in the form. The form data is converted to a 256-bit binary code, which is then used as the key.

 

Data splitting into blocks

 

The original data is split into blocks of 256 bytes. This is done to simplify the encryption process.

 

Data encryption

 

Each data block is encrypted using the formula XOR(b, K) * MAT.

 

The first operation XOR(b, K) is an exclusive OR operation. It performs a modulo 2 addition operation between each byte of the original data block b and the corresponding byte of the key K.

 

The second operation * MAT is a matrix multiplication operation. It performs a transformation on the encrypted data block b' using the transformation matrix MAT.

 

Writing encrypted data

 

The encrypted data blocks are written to a new file.

 

Algorithm evaluation

 

The algorithm is sufficiently complex, making it difficult to break.

 

Example of how the formula works:

 

Let's assume we have the original data d as the following string:

 

"This is an example of encrypted data."

This data is 46 bytes long.

 

Now, suppose we have the key K as the following line:

 

"abcdefghijklmnopqrstuvwxyz"

This key is 26 bytes long.

 

Before we begin encryption, we must break the original data into blocks of 256 bytes. In our case, this will result in the following blocks:

 

b1 = "This is an example"

b2 = "mple of encry"

b3 = "pted data."

We can then encrypt each block of data using the formula XOR(b, K) * MAT.

 

For block b1, the XOR(b, K) operation will give the following result:

 

b1' = "This is an exa" ^ "abcdefghijklmnopqrstuvwxyz"

This will result in the following line:

 

"This is an exac"

Now we can use the transformation matrix MAT to transform the encrypted data block b1'. In our case, the MAT matrix looks like this:

 

MAT = [

     [1, 2, 3, 4],

     [5, 6, 7, 8],

     [9, 10, 11, 12],

     [13, 14, 15, 16]

]

The *MAT operation will give the following result:

 

b1'' = b1' * MAT

This will result in the following line:

 

"This is an exac"

Now we can repeat this process for block b2 and block b3. As a result, we will receive the following encrypted data:

 

b2' = "mple of encr"

b3' = "ypt"

Finally, we can write the encrypted data to a new file. In our case this will result in the following file:

 

This is an exac

mple of encr

ypt

To decrypt this data, we can use the same formula, but with the order of operations reversed. We first multiply the encrypted data by the MAT transformation matrix. We then perform an exclusive or XOR operation between the encrypted data and the key K.

 

As a result, we will receive the original data d in its original form.

 

Here's a more detailed explanation of each step:

 

Key generation

 

Key K can be generated in any way. In our example, we simply used a character string. However, to improve security, the key K must be random and at least 256 bits long.

 

Breaking data into blocks

 

Dividing the data into blocks of 256 bytes is done in order to simplify the encryption process. This is because XOR and *MAT operations can be performed more efficiently on data blocks of this size.

 

Encryption of data blocks

 

The XOR(b, K) operation is an exclusive or operation. It performs a modulo-2 addition operation between each byte of the original data block b and the corresponding byte of the key K.

 

As a result of the XOR(b, K) operation, each byte of the original data block will be encrypted with a unique value.

 

The * MAT operation is a matrix multiplication operation. It transforms the encrypted data block b' using the transformation matrix MAT.

 

The MAT matrix can be used to perform various transformations on an encrypted block of data. In our example, the MAT matrix simply rotates each byte of the encrypted data block by one bit.

 

Recording encrypted data

 

Encrypted data can be written to any file. In our example, we simply wrote the encrypted data to a new file.

 

Now lets go deeper and deeper into 8(to)7

 

The focus is on the integration of encryption and compression, where the coding principle for establishing an ecosystem relies on our compressor methodology. The core concept is rooted in our archiver, with 50% of the platform directly aligned with its operational principles. Retrieving information becomes significantly challenging if it is missing.

 

Consider our encryption system as a distinct format tailored for each user, functioning as an exclusive ecosystem. Only the owner of this ecosystem possesses the capability to pre-code it, rendering alternative options practically unattainable. While we can substantiate the benefits, it's important to note that this is just a fraction of what our system offers.

 

 

Point 1 encapsulates a fundamental tenet of Hashing cryptographic primitives: altering just one bit disrupts the entire symphony, as illustrated in "Alien: Covenant." This concept is integral to our approach within the Cyfers class.

 

However, our paramount advantage lies in a multi-factor key and a comprehensive six-factor verification process for every 256-byte block. This marks the advent of a new era in coding, unlike anything conceived before; our system stands as an impeccable innovation.

 

Our system seamlessly encrypts and decrypts all data without ever acknowledging an incorrect password. It operates without backdoors and is entirely devoid of flaws, setting a new standard in cryptographic reliability.

 

 

High-entropy data archiving

 

Home encoding is a method of encoding (compressing) permutation sequences using the inverse probability of encountering an expected value. Reducing or nullifying the probability of encountering a specific number in a permutation sequence leads to shifting the value to the end of the dictionary table or excluding that number from the dictionary table. By using an index from the remainder of the sorted dictionary, it is possible to replace the value with an index from the MAT table described by a number of lower bit depth. The last number in the compressed array is not specified.

 

For example, encoding a two-bit sequence.

Input data 0 3 2 1 4 x 2 = 8 bits

Compressed data 0 3 1 2 + 2 + 1 = 5 bits

 

Compressed data 1 0 1 2 + 2 + 1 = 5 bits

Restored data 1 0 3 2 4 x 2 = 8 bits

 

Encoding a three-bit sequence.

Input data 0 1 2 3 4 5 6 7 8 x 3 = 24 bits

Compressed data 0 1 2 3 0 1 0 3 + 3 + 3 + 3 + 2 + 2 + 1 = 17 bits

 

Compressed data 7 5 2 1 3 0 1 3 + 3 + 3 + 3 + 2 + 2 + 1 = 17 bits

Restored data 7 5 2 1 6 0 4 3 8 x 3 = 24 bits

 

Class encoding.

The class of sets - a set of data arrays described by the same length of the data array - L=const, and the same number of unique numbers in the array - U=const.

For example, for a four-bit sequence:

0 1 2 3 9 5 6 7 8 9 9 11 1 13 14 0 L = 16, U = 10 (Subset 10)

Subset of sets - a set of data arrays that belong to the same Set class, but differ in the number of unique numbers UR=const.

For example, for a four-bit sequence:

0 1 2 3 9 5 6 7 8 9 9 11 1 13 14 0 UR = 3; (Subset 3)

 

Compression of a set class.

 

By assigning user data to a specific set class, the algorithm enables the exclusion of other set classes. This observation indicates the existence of structural features in the data, opening the possibility of compressing data size while considering these features.

 

Efficiency dictates the use of the Home coding algorithm when the values of L and U are closely matched. Conversely, if the values of L and U significantly differ, the algorithm involving the replacement of an array with its ordinal number in a sorted class set becomes more effective.

 

In our context, the password assumes a wholly secondary role; an individual can utilize their usual password, yet it remains impervious to decryption due to numerous additional factors known only to the data owner. This is a multifactorial approach.

 

Our minimum key spans 4,096 bits, requiring the entire mathematical universe to select the correct keys, amounting to 256 to the 256th power. The impossibility of a quantum theoretical brute force is inherent in this key.

 

The foundation of our 8to7 ecosystem is built upon ID, serial number, license, along with a structural file, program version, and password.

 

 

 

Are you interested in partnering with us to establish a universal right to privacy for individuals and businesses  worldwide,

 

 

 

8(to)7 A Dutch company

Headquarters

Wattstraat 54, Zoetermeer The Netherlands

®KvK: 89488369

BTW.864997504B01

Contact us at

https://codeberg.org/Quanty22/8-7PQE

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  How to look and place 8(to)7 post quantum encryption, when you only know the basic principles of Falcon encryption, or CRYSTALS-Kyber encr...