# Multiple channel cryptography

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Multiple channel cryptography

Infobox block cipher
name = MCC
designers = Richard Ervasti
publish date = 2008&ndash;02
key size = variable
block size = variable
structure = SPN
rounds = 2
cryptanalysis =
Multiple channel cryptography (MCC) is an emerging approach to block cipher cryptography based on multiple configuration inputs to a core algorithm. Designed in 2008 by Richard Ervasti, the MCC framework calls for a non-linear utilization of a minimum of 7 inputs (the channels), each containing randomly generated, and in some cases, randomly recurring values. Pieces of each channel can be deployed within the keystream, to manipulate the keystream and the plaintext message, and also to calculate the formula's Cursor variable which is used for key expansion.

Introduction

MCC was designed because, at the time, faster and more efficient computer resources coupled with advances in factorization techniques began to make insufficient the continued linear use of large primes and other mathematically complex numbers for generating strong encryption keys, particularly for long-term implementations. The algorithm is unpatented and freely available for use.

Complexity

The complexity of MCC can be categorized as a Boolean satisfiability problem of the class NP-complete that results from its use of a unique set of seven inputs comprising a formal axiomatic system. Four of the random inputs are created at key generation time and remain static throughout the life of the key. They are identified as the SBX table, the CH table, the GBX table, and the RBX table. The remaining three inputs, the OTP variable, the ST variable, and the CUR variable. are generated at run-time for each cipher object.

MCC does not use a key in the classic cryptographic sense. MCC keys are a hash digest of 4 of the 7 randomly generated configuration inputs required by the core algorithm. At runtime, the hash digest, which is also an efficient expression for the inputs, is read and expanded into the actual inputs which are then used to create 2 keys, K and AK, and the lengths of each match the length of the plaintext. The block size is the message size, and there are two rounds performed, one each for K and AK. An attacker must attempt to solve either K or AK, and OTP.

The algorithm

Encryption

1. Let there be a plaintext message, $M,$, to be encrypted.
2. Let there be a master Character Table, $CH,$, consisting of a randomly generated set of all 256 ASCII values. Let it be the first of eight channels.
3. Let there be an S-box table, $SBX,$, containing a number of entries not less than $2048,$ such that each entry is unique and contains an equal number of characters not less than $2,$. Let it be the second of eight channels.
4. Let there be a redirection R-box, $RBX,$, containing a number of entries not less than $SBX_N,$, and let each entry's value be a randomly selected, randomly recurring integer within the range $16ldots SBX_N,$. Let RBX be the third of eight channels.
5. Let there be a granularity G-box, $GBX,$, containing a number of entries not less than $SBX_N/2,$ such that the value of each entry is a randomly selected, randomly recurring integer within the range $5cdots20,$.Let GBX be the fourth of eight channels.
6. Let there be a randomly generated One-Time-Pad Vector, $OTP,$, with a length equal to $M_N,$, and let it be the fifth of eight channels. Let the algorithm be characterized as a one-time-pad.
7. Let there be a Timestamp Vector, $TIME,$, computed as machine time in epoch time plus microseconds.
8. Let $M,$ be embedded with a randomly generated string of any length not greater than $M_N/7,$ called the Initialization Vector, $IV,$, and let the resulting string be called the Production Input, $PI,$. Let the algorithm be characterized as a probabilistic cipher. Let $PI,$ be the sixth of eight channels.
9. Let there be a Key, $K,$, computed by first concatenating all entries in $SBX,$ thus creating a string of not less than 4096 characters.
10. Let there be a Anti-Key, $AK,$, computed by first concatenating all entries in $RBX,$ thus creating a string of not less than 2048 characters.
11. Let there be a Starting Value, $ST,$, randomly selected for each cipher object such that its value has a range $1ldots SBX_N,$. Let $ST,$ be the seventh of eight channels.
12. Let as $K,$ pass through the Shuffle Subprocess (see below SUB-PROCESSES: Shuffle ) with $ST,$ as $V,$.
13. Globally delete the character represented by $K_\left\{ST\right\},$ from $K,$.
14. Let there be a Cursor Value, $CUR,$, computed as $sqrt\left\{\left(TIME/ST\right)mod K_N\right\},$, and let it be the eighth of eight channels.
15. Let $AK,$ pass through the Shuffle Subprocess with $\left(CUR+PI_N\right),$ as $V,$.
16. Let there be a Round Counter, $RC,$, initialzed to 1.
17. If $PI_N,$ is less than $K_N,$, go to step 34. Otherwise, loop through steps 18 through 33 while $PI_N,$ is greater than $K_N,$.
18. Let the next entry in $RBX,$, be $RBX_i,$.
19. Remove $RBX_i,$ and $RBX_\left\{i+1\right\},$ from $RBX,$.
20. Let there be temporary RBX Pixels, $TR1,$ and $TR2,$, computed as $\left(RBX_imod 60\right),$ and $\left(RBX_i+1mod 200\right),$ respectively.
21. Let $CH,$ pass through the Shuffle subprocess with $TR1_\left\{CUR\right\},$ as $V,$.
22. Let $CH,$ be packed into a character string and appended to $K,$.
23. Remove the next entry from $GBX,$ and let it be $GBX_i,$ .
24. Let there be a temporary GBX Pixel, $TG,$, computed as $GBX_\left\{i+RC\right\},$, and let it be appended to $GBX,$.
25. Let $TR1,$ and $TR2,$ be recomputed as $\left(TR1+CUR\right) mod SBX_N,$ and $\left(TR2+CUR+GBX_i\right)mod SBX_N,$ respectively and let them be appended to $RBX,$.
26. Let $K,$ be appended with $SBX_\left\{TR1\right\},$ and $SBX_\left\{TR2\right\},$ .
27. Let Reverse sub-Key, $RK,$, be the reverse of $K,$ and let it pass thru the Shuffle subprocess with $CUR,$ as $V,$.
28. For each $i,$ in $RK,$, compute $RK_i oplus K_i,$ and append it to $K,$.
29. Let $K,$ be appended with $CUR imes RC,$.
30. Let $CUR,$ be computed as $CUR + TR1 + TR2 +GBX_i,$.
31. Let $K,$ be appended with $CUR,$.
32. If $AK_N,$ is less than $K_N,$, let a copy of $AK,$ pass through the Shuffle Subprocess with $\left(CUR + PI_N\right),$ as $V,$, and let it be appended to $AK,$.
33. Let $CUR,$ equal $CURmod K_N,$.
34. Let each $i,$ in $PI,$ be recomputed as $PI_ioplus OTP_i,$ .
35. Let each $i,$ in $K,$ be recomputed as $K_ioplus AK_i,$ .
36. Let there be Interim Ciphertext, $ICT,$, and let each $i,$ in $ICT,$ be computed as as $PI_ioplus K_i,$ .
37. Let $ST,$, $OTP,$ and $TIME,$ be concatenated and converted into an efficient expression, and let the resulting string be deterministically embedded into $ICT,$.
38. Let $ICT,$ be converted into its Base64 equivalent and let it be Encrypted Message, $E,$.

Decryption

1. Compute the following configuration inputs from the key:

• CH
• RBX
• SBX
• GBX
2. Parse Encrypted message, $E,$ by reversing the Base64 encoding in $E-38,$ and extracting $ST-37,$, $OTP-37,$ and $TIME-37,$ where$-N,$ is ordered in the Encryption process flow above and let the remaining string be Interim Cipher Text, $ICT,$.
3. Reconstuct $K-9,$ and $AK-10,$ by stepping thru Encryption process steps 9-35 as needed.
4. Let there be Interim Recovered Plaintext, $IPT,$, and let each $i,$ in $IPT,$ be computed $E_ioplus OTP_i,$ .
5. Let each $i,$ in $IPT,$ be computed $IPT_ioplus K_i,$ .
6. Delete $IV-8,$ from $IPT,$ and let the remaining string be recovered Message, $M,$.

UB-PROCESSES

Shuffle
1. The string or array, $S,$, to be shuffled is fed to the process along with either one or two other values, $V_i,$.
2. If $S,$ and a single $V,$ are submitted, $V=Vmod S_N,$. Then, $S,$ is shortened by removing portion, $P,$, that ranges from $S_Vldots S_N,$.
3. If $S,$ and two values, $V_1,$ and $V_2,$ are submitted, both values are computed as $V_imod S_N,$. The string is shortened by removing portion, $P,$, that ranges from $S_\left\{V_1\right\}ldots S_\left\{V_2\right\},$.
4. In either case #2 or #3, $P,$ becomes New String, $NS,$, and is appended with what remains of $S,$.
5. $NS,$ is returned to the main processes.

Speed and Efficiency

MCC is slightly slower than AES with message sizes less than 4,096 characters, and somewhat faster for larger messages. The only performance results available to date are those published "Dick Ervasti", " [http://dickervasti.blogspot.com/2008/07/performance-results-of-mcc-algorithm.html Performance results of the MCC algorithm] "] by the designer.

Cryptanalysis

No effective cryptanalysis of MCC has been found to date. There is an ongoing cracking competition for the algoritm.

tandardization

MCC has yet to be submitted for inclusion in any recognized cryptographic standard.

ee also

*Efficient Probabilistic Public-Key Encryption Scheme

References

* [https://secure.quty.com/aemsrc/mccpdf/MCC_white_paper.pdf The Multiple Channel Cryptography white paper] , Contains a detailed description of the MCC algorithm (PDF file).
* [http://quty.com/aemsrc/mccpdf/MCC_examples.zip The Multiple Channel Cryptography cracking competition] , Contains numerous examples of plaintexts and their corresponding ciphertexts created by the MCC algorithm (ZIP file).

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