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".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
순환 그룹의 동작 하에서 불변인 회전 대칭 부울 함수는 다양한 암호 시스템에서 사용되었습니다. 이 논문은 최적의 대수적 내성을 갖춘 균형 잡힌 홀수 변수 회전 대칭 부울 함수의 새로운 구성을 제시합니다. 적어도 일부 작은 변수에 대해서는 이러한 함수가 빠른 대수 공격에 대해 매우 좋은 동작을 갖는지 확인됩니다. 최적의 대수적 내성을 갖춘 일부 알려진 회전 대칭 부울 함수와 비교할 때 새로운 구조는 실제로 더 나은 비선형성을 갖습니다. 또한, 구성된 함수의 대수적 수준도 충분히 높습니다.
Yindong CHEN
Shantou University
Fei GUO
Shantou University
Hongyan XIANG
Shantou University
Weihong CAI
Shantou University
Xianmang HE
Dongguan University of Technology
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부
Yindong CHEN, Fei GUO, Hongyan XIANG, Weihong CAI, Xianmang HE, "Balanced Odd-Variable RSBFs with Optimum AI, High Nonlinearity and Good Behavior against FAAs" in IEICE TRANSACTIONS on Fundamentals,
vol. E102-A, no. 6, pp. 818-824, June 2019, doi: 10.1587/transfun.E102.A.818.
Abstract: Rotation symmetric Boolean functions which are invariant under the action of cyclic group have been used in many different cryptosystems. This paper presents a new construction of balanced odd-variable rotation symmetric Boolean functions with optimum algebraic immunity. It is checked that, at least for some small variables, such functions have very good behavior against fast algebraic attacks. Compared with some known rotation symmetric Boolean functions with optimum algebraic immunity, the new construction has really better nonlinearity. Further, the algebraic degree of the constructed functions is also high enough.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E102.A.818/_p
부
@ARTICLE{e102-a_6_818,
author={Yindong CHEN, Fei GUO, Hongyan XIANG, Weihong CAI, Xianmang HE, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Balanced Odd-Variable RSBFs with Optimum AI, High Nonlinearity and Good Behavior against FAAs},
year={2019},
volume={E102-A},
number={6},
pages={818-824},
abstract={Rotation symmetric Boolean functions which are invariant under the action of cyclic group have been used in many different cryptosystems. This paper presents a new construction of balanced odd-variable rotation symmetric Boolean functions with optimum algebraic immunity. It is checked that, at least for some small variables, such functions have very good behavior against fast algebraic attacks. Compared with some known rotation symmetric Boolean functions with optimum algebraic immunity, the new construction has really better nonlinearity. Further, the algebraic degree of the constructed functions is also high enough.},
keywords={},
doi={10.1587/transfun.E102.A.818},
ISSN={1745-1337},
month={June},}
부
TY - JOUR
TI - Balanced Odd-Variable RSBFs with Optimum AI, High Nonlinearity and Good Behavior against FAAs
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 818
EP - 824
AU - Yindong CHEN
AU - Fei GUO
AU - Hongyan XIANG
AU - Weihong CAI
AU - Xianmang HE
PY - 2019
DO - 10.1587/transfun.E102.A.818
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E102-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2019
AB - Rotation symmetric Boolean functions which are invariant under the action of cyclic group have been used in many different cryptosystems. This paper presents a new construction of balanced odd-variable rotation symmetric Boolean functions with optimum algebraic immunity. It is checked that, at least for some small variables, such functions have very good behavior against fast algebraic attacks. Compared with some known rotation symmetric Boolean functions with optimum algebraic immunity, the new construction has really better nonlinearity. Further, the algebraic degree of the constructed functions is also high enough.
ER -