The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
A transformação MDS desempenha um papel importante na resistência à criptoanálise diferencial (DC) e à criptoanálise linear (LC). Recentemente, M. Sajadieh, et al.[15] projetou uma camada de difusão recursiva eficiente com estruturas do tipo Feistel. Além disso, obtiveram uma transformação MDS que está relacionada a uma função linear e a inversa é tão leve quanto ela mesma. Com base neste trabalho, consideramos uma forma específica de funções lineares para obter a camada de difusão com portas XOR baixas para implementação em hardware usando registradores temporários. Damos dois critérios para reduzir o espaço de construção e obter seis novas classes de transformações leves de MDS. Algumas de nossas construções com LFSRs baseados em um pacote têm portas XOR tão baixas quanto os resultados anteriores mais conhecidos. Esperamos que esses resultados possam fornecer mais opções para o projeto de transformações MDS no algoritmo de cifra de bloco (leve).
Yubo LI
National University of Defense Technology
Kangquan LI
National University of Defense Technology
Longjiang QU
National University of Defense Technology,the State Key Laboratory of Cryptology
Chao LI
National University of Defense Technology
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Yubo LI, Kangquan LI, Longjiang QU, Chao LI, "New Classes of Efficient MDS Transformations" in IEICE TRANSACTIONS on Fundamentals,
vol. E102-A, no. 11, pp. 1504-1511, November 2019, doi: 10.1587/transfun.E102.A.1504.
Abstract: MDS transformation plays an important role in resisting against differential cryptanalysis (DC) and linear cryptanalysis (LC). Recently, M. Sajadieh, et al.[15] designed an efficient recursive diffusion layer with Feistel-like structures. Moreover, they obtained an MDS transformation which is related to a linear function and the inverse is as lightweight as itself. Based on this work, we consider one specific form of linear functions to get the diffusion layer with low XOR gates for the hardware implementation by using temporary registers. We give two criteria to reduce the construction space and obtain six new classes of lightweight MDS transformations. Some of our constructions with one bundle-based LFSRs have as low XOR gates as previous best known results. We expect that these results may supply more choices for the design of MDS transformations in the (lightweight) block cipher algorithm.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E102.A.1504/_p
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@ARTICLE{e102-a_11_1504,
author={Yubo LI, Kangquan LI, Longjiang QU, Chao LI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={New Classes of Efficient MDS Transformations},
year={2019},
volume={E102-A},
number={11},
pages={1504-1511},
abstract={MDS transformation plays an important role in resisting against differential cryptanalysis (DC) and linear cryptanalysis (LC). Recently, M. Sajadieh, et al.[15] designed an efficient recursive diffusion layer with Feistel-like structures. Moreover, they obtained an MDS transformation which is related to a linear function and the inverse is as lightweight as itself. Based on this work, we consider one specific form of linear functions to get the diffusion layer with low XOR gates for the hardware implementation by using temporary registers. We give two criteria to reduce the construction space and obtain six new classes of lightweight MDS transformations. Some of our constructions with one bundle-based LFSRs have as low XOR gates as previous best known results. We expect that these results may supply more choices for the design of MDS transformations in the (lightweight) block cipher algorithm.},
keywords={},
doi={10.1587/transfun.E102.A.1504},
ISSN={1745-1337},
month={November},}
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TY - JOUR
TI - New Classes of Efficient MDS Transformations
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1504
EP - 1511
AU - Yubo LI
AU - Kangquan LI
AU - Longjiang QU
AU - Chao LI
PY - 2019
DO - 10.1587/transfun.E102.A.1504
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E102-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2019
AB - MDS transformation plays an important role in resisting against differential cryptanalysis (DC) and linear cryptanalysis (LC). Recently, M. Sajadieh, et al.[15] designed an efficient recursive diffusion layer with Feistel-like structures. Moreover, they obtained an MDS transformation which is related to a linear function and the inverse is as lightweight as itself. Based on this work, we consider one specific form of linear functions to get the diffusion layer with low XOR gates for the hardware implementation by using temporary registers. We give two criteria to reduce the construction space and obtain six new classes of lightweight MDS transformations. Some of our constructions with one bundle-based LFSRs have as low XOR gates as previous best known results. We expect that these results may supply more choices for the design of MDS transformations in the (lightweight) block cipher algorithm.
ER -