Cryptographic Primitives with Quasigroup Transformations

Mileva, Aleksandra

Mathematica Balkanica New Series (2010)

  • Volume: 24, Issue: 3-4, page 207-216
  • ISSN: 0205-3217

Abstract

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AMS Subj. Classification: Primary 20N05, Secondary 94A60The intention of this research is to justify deployment of quasigroups in cryptography, especially with new quasigroup based cryptographic hash function NaSHA as a runner in the First round of the ongoing NIST SHA-3 competition. We present new method for fast generation of huge quasigroup operations, based on the so-called extended Feistel networks and modification of the Sade’s diagonal method. We give new design of quasigroup based family of cryptographic hash functions - NaSHA, which deploy the new method and with a novel approach - different quasigroups for every application of component quasigroup transformations in every iteration of the compression function and, much more, the used quasigroups are functions of the processed message block.

How to cite

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Mileva, Aleksandra. "Cryptographic Primitives with Quasigroup Transformations." Mathematica Balkanica New Series 24.3-4 (2010): 207-216. <http://eudml.org/doc/11342>.

@article{Mileva2010,
abstract = {AMS Subj. Classification: Primary 20N05, Secondary 94A60The intention of this research is to justify deployment of quasigroups in cryptography, especially with new quasigroup based cryptographic hash function NaSHA as a runner in the First round of the ongoing NIST SHA-3 competition. We present new method for fast generation of huge quasigroup operations, based on the so-called extended Feistel networks and modification of the Sade’s diagonal method. We give new design of quasigroup based family of cryptographic hash functions - NaSHA, which deploy the new method and with a novel approach - different quasigroups for every application of component quasigroup transformations in every iteration of the compression function and, much more, the used quasigroups are functions of the processed message block.},
author = {Mileva, Aleksandra},
journal = {Mathematica Balkanica New Series},
keywords = {Cryptographic Hash Function; NaSHA; Quasigroup Transformations; cryptographic hash function; quasigroup transformations},
language = {eng},
number = {3-4},
pages = {207-216},
publisher = {Bulgarian Academy of Sciences - National Committee for Mathematics},
title = {Cryptographic Primitives with Quasigroup Transformations},
url = {http://eudml.org/doc/11342},
volume = {24},
year = {2010},
}

TY - JOUR
AU - Mileva, Aleksandra
TI - Cryptographic Primitives with Quasigroup Transformations
JO - Mathematica Balkanica New Series
PY - 2010
PB - Bulgarian Academy of Sciences - National Committee for Mathematics
VL - 24
IS - 3-4
SP - 207
EP - 216
AB - AMS Subj. Classification: Primary 20N05, Secondary 94A60The intention of this research is to justify deployment of quasigroups in cryptography, especially with new quasigroup based cryptographic hash function NaSHA as a runner in the First round of the ongoing NIST SHA-3 competition. We present new method for fast generation of huge quasigroup operations, based on the so-called extended Feistel networks and modification of the Sade’s diagonal method. We give new design of quasigroup based family of cryptographic hash functions - NaSHA, which deploy the new method and with a novel approach - different quasigroups for every application of component quasigroup transformations in every iteration of the compression function and, much more, the used quasigroups are functions of the processed message block.
LA - eng
KW - Cryptographic Hash Function; NaSHA; Quasigroup Transformations; cryptographic hash function; quasigroup transformations
UR - http://eudml.org/doc/11342
ER -

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