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Topic: Pseudo-Hadamard Transform

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Round Function The transform network has four layers which could accommodate up to four blocks at a time (suitable for CTR mode) with only a modest addition to the design. transforms could be implemented in parallel since they are very small. In software the ideal approach in terms of space would be to implement the four layers of the transform network as separate subroutines that could be called both by www.securescience.net /ciphers/csc2/node11.html

DN - Re: Is AES Really Necessary? Incidentally, Terry doesn't use a PHT, but rather a transform of his own design in which every output bit is effected by both input halves; the exact exploit I used here would not work. Now consider byte 7 as it goes into the final PHT, to be combined with bytes from the left half that are probably not the same for X1 as for X2. Of course for locations other than byte 0 and 8, the PHT will shift one of them one bit and there may be a carry that effects the next byte over. members.aol.com /jpeschel/IsAES2.htm

Cryptography-Digest Digest #420 The Pseudo-Hadamard Transform of (x,y) is (x+y, x+2y). TwoFish uses the PHT to combine the outputs of each H function to create the two outputs of the G function. I think I remember one other cipher outside of TwoFish and the SAFER family that uses a PHT, but I can't remember which one. www.mail-archive.com /cryptography-digest@senator-bedfellow.mit.edu/msg01626.html

Towards the 128-bit Era: AES Candidates However, while it seems that the series of byte substitutions, followed by a Pseudo-Hadamard Transform, mixes together the two halves of the block well enough, attacks are possible against this type of construction that make it not much stronger than normal DES, at least in theory. This design is not perfect: since the expression for one of the outputs of a PHT has a factor of two in it, one can, using chosen plaintexts where only the least significant byte of one particular half is varied, uncover some facts about the S-boxes used, for example. Thus, something that is designed for fast software encryption, with the required security, will be more optimal if it comes from a fresh design process. friedo.szm.sk /krypto/JS/co0408.htm

Algorithms In GNU Crypto The design of both the round transformation and the key schedule is based upon the Wide Trail strategy and permits a wide variety of implementation tradeoffs. The Universal Security Transform (UST) is a cryptographic transform which uses a keystream generator (which can generate keystream segments in arbitrary order) and a universal hash function to provide confidentiality protection, integrity protection, and replay detection security services. This transform is efficient, provably secure, and is appropriate for network security. www.gnu.org /software/gnu-crypto/algorithms.html

Walsh-Hadamard Transforms: A Literature Survey Most introductions to Walsh-Hadamard transforms are heavily mathematical and difficult to relate to practice. Transformed data can be easier to manipulate for differential or integral equation solution, and some parts of digital circuit synthesis. The study of Walsh transforms provides an excellent introduction to this, because their simplicity enables calculations to be made by hand. www.ciphersbyritter.com /RES/WALHAD.HTM

Quadibloc 2002D Then the use of S8 in a pseudo-Hadamard transform and the use of S9 in an inverse pseudo-Hadamard transform is repeated. In the absence of S9, this would essentially be the inverse of the pseudo-Hadamard transform. In the absence of S8, this would essentially be a pseudo-Hadamard transform, as used in SAFER. www.quadibloc.com /crypto/co040722.htm

Twofish Finally, the two resulting 32-bit quantities are mixed with each other through a Pseudo-Hadamard Transform; the one formed from Q1 is added to the one formed from Q0, then the one formed from Q0 is added to the one formed from Q1. www.cmb.ac.lk /temp/new_science/Computer/dscs/courses/Computer/Msc/DSandC/twofish.htm

APPLIED CRYPTOGRAPHY, SECOND EDITION: Protocols, Algorithms, and Source Code in C:Still Other Block Ciphers Each operation is called a Pseudo-Hadamard Transform (PHT). Decryption is the reverse process: the output transformation (with subtraction instead of addition), then r reverse rounds. After r rounds, there is a final output transformation. friedo.szm.sk /krypto/AC/ch14/14-05.html

[XviD-devel] Hadamard Transform Ok, for > > Hadamard, it's useless, but for DCT, e.g, where room > > for fractional bits is very tight, it can ruin > > the scheme. don't remember exactly...) this is the kind of overflow that might stay unnoticed until you see pink blocks flying around :) > P.S. Another link: Hadamard is intended to become an approximation of DCT. list.xvid.org /pipermail/xvid-devel/2002-September/000649.html

Twofish: A 128-Bit Block Cipher The cipher is a 16-round Feistel network with a bijective F function made up of four key-dependent 8-by-8-bit S-boxes, a fixed 4-by-4 maximum distance separable matrix over GF(28), a pseudo-Hadamard transform, bitwise rotations, and a carefully designed key schedule. Twofish is a 128-bit block cipher that accepts a variable-length key up to 256 bits. A fully optimized implementation of Twofish encrypts on a Pentium Pro at 17.8 clock cycles per byte, and an 8-bit smart card implementation encrypts at 1820 clock cycles per byte. www.windowsecurity.com /pages/article_p.asp?id=209

Report.doc The PHT is then performed on the 32-bit outputs of the two g-functions. The input of the key generator is a constant, which reflects the round number that the particular key is used. This input is passed to two parallel g-functions and to the PHT. www-ee.eng.hawaii.edu /~ornella/EE496/doc/Report.doc

Pseudo-Hadamard pharmacy transform To compute the transform, a' pharmacy pharmacy and b', from these we use the equations: The bit string must be of pharmacy even length, so it can be split into two pharmacy bit strings of equal length, a and b, each of n bits. www.onlinepharmacy-now.com /site99/Ps/Pseudo-Hadamard_Transform.html

Articles - SAFER After a second key-mixing stage there is the diffusion layer: a novel cryptographic component termed a Pseudo-Hadamard Transform ( PHT). There are two more-recent members of the SAFER family that have made changes to the main encryption routine, designed by the Armenian cryptographers Gurgen Khachatrian and Melsik Kuregian in conjunction with Massey. (The PHT was also later used in the Twofish cipher.) www.kamero.net /articles/SAFER?mySession=0d85fdd9aadbdb87a68f9ffc8b080508

Twofish - InformationBlast Twofish borrows some elements from other designs; for example, the Pseudo-Hadamard Transform (PHT) from the SAFER family of ciphers. Twofish's distinctive features are the use of pre-computed key-dependent S-boxes, and a relatively complex key schedule. On most software platforms Twofish is slightly slower than Rijndael (the chosen algorithm for AES) for 128-bit keys, but somewhat faster for 256-bit keys. www.informationblast.com /Twofish.html

Twofish Guides, Tutorials Twofish borrows some elements from other designs; for example, the Pseudo-Hadamard Transform (PHT) from the SAFER family of ciphers. In encryption, a key specifies the particular transformation of plaintext into ciphertext, or vice versa during decryption. Twofish's distinctive features are the use of pre-computed key-dependent S-box es, and a relatively complex key schedule. www.masterliness.com /a/Twofish.htm

sci.crypt: Humble Contribution We prove that the fast pseudo-Hadamard transform (FPHT) over a to produce more efficient transforms with half of the branch of a MDS code. transform has an efficient implementation for various platforms compared to www.derkeiler.com /Newsgroups/sci.crypt/2004-01/1086.html

Twofish - Iridis Encyclopedia Twofish borrows some elements from other designs; for example, the Pseudo-Hadamard Transform (PHT) from the SAFER family of ciphers. Twofish's distinctive features are the use of pre-computed key-dependent S-boxes, and a relatively complex key schedule. Twofish uses the same Feistel structure as DES. www.iridis.com /Twofish

Science : Math : Applications : Communication Theory : Cryptography : Algorithms : Ciphers - Links CS2 is based on the CS cipher developed by Serge Vaudenay and takes advantage of work St Denis has done on the pseudo-Hadamard transform. This PDF document describes to CS2 block cipher developed by Tom St Denis. Source code is not included, but test vectors are. links.com-forum.info /index.php?c=Science/Math/Applications/Communication_Theory/Cryptography/Algorithms/Ciphers

Cryptography-Digest Digest #418 The Pseudo-Hadamard Transform of (x,y) is (x+y, x+2y). It seems to be quite different from the (true) Hadamard transform. > It's just meant to combine the two numbers in a way that looks a bit > like a real transform. www.mail-archive.com /cryptography-digest@senator-bedfellow.mit.edu/msg01624.html

Cross correlation or Fast Hadamard Transform out..every ''transform'' requires a signal with length of L=2^N.. MLS signal..a pseudo random signal,periodic with length (2^n)- I'm trying to compute a cross correlation of two signals; one is a www.dsprelated.com /groups/c6x/show/2648.php

Twofish: A 128-Bit Block Cipher ), a pseudo-Hadamard transform, bitwise rotations, and a carefully designed key schedule. A fully optimized implementation of Twofish encrypts on a Pentium Pro at 17.8 clock cycles per byte, and an 8-bit smart card implementation encrypts at 1820 clock cycles per byte. The cipher is a 16-round Feistel network with a bijective F function made up of four key-dependent 8-by-8-bit S-boxes, a fixed 4-by-4 maximum distance separable matrix over GF(2 www.schneier.com /paper-twofish-paper.html

About the Twofish Encryption Algorithm - Quantum Digital Security Twofish borrows some elements from other designs; for example, the Pseudo-Hadamard Transform (PHT) from the SAFER family of ciphers. Twofish's distinctive features are the use of pre-computed key-dependent S-boxes, and a relatively complex key schedule. Twofish uses the same Feistel structure as DES. www.qdsecurity.com /twofish.html

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Twofish - Indopedia, the Indological knowledgebase Twofish borrows some elements from other designs; for example, the Pseudo-Hadamard Transform (PHT) from the SAFER family of ciphers. Twofish's distinctive features are the use of pre-computed key-dependent S-boxes, and a relatively complex key schedule. Twofish uses the same Feistel structure as DES. www.indopedia.org /Twofish.html

The CSQUARE Transform (ResearchIndex) The new design inherits the hardware e#ciency of the SQUARE linear transform pattern as well as the e#ciency of the fast pseudo-Hadamard transform over a finite field. 0.5 : Fast Pseudo-Hadamard Transforms - Tom St Denis (2004) Abstract: In this paper we show how to combine the design concepts of the SQUARE and CS block ciphers to produce a pseudo-random permutation CSQUARE suitable for use in block cipher and hash design with a very high multi-round trail weight. citeseer.ist.psu.edu /stdenis04csquare.html

Web Directory> Science> Math> Applications> Communication Theory> Cryptography> Algorithms> Ciphers CS2 is based on the CS cipher developed by Serge Vaudenay and takes advantage of work St Denis has done on the pseudo-Hadamard transform. CS2 Block Cipher - This PDF document describes to CS2 block cipher developed by Tom St Denis. Source code is not included, but test vectors are. www.gayhindu.net /Directory/Science/Math/Applications/Communication_Theory/Cryptography/Algorithms/Ciphers

DBLP: Helger Lipmaa Helger Lipmaa: On Differential Properties of Pseudo-Hadamard Transform and Related Mappings. sunsite.informatik.rwth-aachen.de /dblp/db/indices/a-tree/l/Lipmaa:Helger.html

TCS - Research - Publications - On Differential Properties of Pseudo-Hadamard Transform and Related Mappings TCS / Research / Publications / On Differential Properties of Pseudo-Hadamard Transform and Related Mappings On Differential Properties of Pseudo-Hadamard Transform and Related Mappings. On Differential Properties of Pseudo-Hadamard Transform and Related Mappings www.tcs.hut.fi /Publications/info/helger.INDOCRYPT2002:Lipmaa.shtml   (94 words)

skeptomai: Comment on Frank Zappa and Pseudo-Hadamard Transform skeptomai: Comment on Frank Zappa and Pseudo-Hadamard Transform atbash.net /mt/mt-comments.cgi?entry_id=9   (8 words)

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