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
S-box는 대칭 암호화 알고리즘의 핵심 구성 요소 중 하나이지만 차등 분포 테이블(DDT)은 차등 공격에 저항하기 위해 S-box의 일부 속성을 연구하는 중요한 도구입니다. 본 논문에서는 DDT의 제곱합과 (n, m)-자기 상관 계수를 기반으로 하는 함수입니다. 우리는 또한 균형 잡힌 DDT의 제곱합에 대한 상한과 하한을 얻습니다(n, m)-함수를 사용하여 다음의 DDT 제곱합을 증명합니다.n, m)-함수는 아핀 아핀 등가물 하에서 아핀 불변입니다. 또한, 우리는 DDT의 제곱합과 신호 대 잡음비 사이의 관계를 얻습니다.n, m)-기능. 또한 모든 3비트 S-박스, 4비트 최적 S-박스 및 모든 302개의 균형 S-박스(아핀 동등성까지)에 대한 DDT의 제곱합 분포를 계산하고 데이터 실험을 통해 검증합니다. 우리의 결과.
Rong CHENG
the Science and Technology on Communication Security Laboratory
Yu ZHOU
the Science and Technology on Communication Security Laboratory
Xinfeng DONG
the Science and Technology on Communication Security Laboratory
Xiaoni DU
Northwest Normal University
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부
Rong CHENG, Yu ZHOU, Xinfeng DONG, Xiaoni DU, "On the Sum-of-Squares of Differential Distribution Table for (n, n)-Functions" in IEICE TRANSACTIONS on Fundamentals,
vol. E105-A, no. 9, pp. 1322-1329, September 2022, doi: 10.1587/transfun.2022EAP1010.
Abstract: S-box is one of the core components of symmetric cryptographic algorithms, but differential distribution table (DDT) is an important tool to research some properties of S-boxes to resist differential attacks. In this paper, we give a relationship between the sum-of-squares of DDT and the sum-of-squares indicator of (n, m)-functions based on the autocorrelation coefficients. We also get some upper and lower bounds on the sum-of-squares of DDT of balanced (n, m)-functions, and prove that the sum-of-squares of DDT of (n, m)-functions is affine invariant under affine affine equivalent. Furthermore, we obtain a relationship between the sum-of-squares of DDT and the signal-to-noise ratio of (n, m)-functions. In addition, we calculate the distributions of the sum-of-squares of DDT for all 3-bit S-boxes, the 4-bit optimal S-boxes and all 302 balanced S-boxes (up to affine equivalence), data experiments verify our results.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2022EAP1010/_p
부
@ARTICLE{e105-a_9_1322,
author={Rong CHENG, Yu ZHOU, Xinfeng DONG, Xiaoni DU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On the Sum-of-Squares of Differential Distribution Table for (n, n)-Functions},
year={2022},
volume={E105-A},
number={9},
pages={1322-1329},
abstract={S-box is one of the core components of symmetric cryptographic algorithms, but differential distribution table (DDT) is an important tool to research some properties of S-boxes to resist differential attacks. In this paper, we give a relationship between the sum-of-squares of DDT and the sum-of-squares indicator of (n, m)-functions based on the autocorrelation coefficients. We also get some upper and lower bounds on the sum-of-squares of DDT of balanced (n, m)-functions, and prove that the sum-of-squares of DDT of (n, m)-functions is affine invariant under affine affine equivalent. Furthermore, we obtain a relationship between the sum-of-squares of DDT and the signal-to-noise ratio of (n, m)-functions. In addition, we calculate the distributions of the sum-of-squares of DDT for all 3-bit S-boxes, the 4-bit optimal S-boxes and all 302 balanced S-boxes (up to affine equivalence), data experiments verify our results.},
keywords={},
doi={10.1587/transfun.2022EAP1010},
ISSN={1745-1337},
month={September},}
부
TY - JOUR
TI - On the Sum-of-Squares of Differential Distribution Table for (n, n)-Functions
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1322
EP - 1329
AU - Rong CHENG
AU - Yu ZHOU
AU - Xinfeng DONG
AU - Xiaoni DU
PY - 2022
DO - 10.1587/transfun.2022EAP1010
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E105-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2022
AB - S-box is one of the core components of symmetric cryptographic algorithms, but differential distribution table (DDT) is an important tool to research some properties of S-boxes to resist differential attacks. In this paper, we give a relationship between the sum-of-squares of DDT and the sum-of-squares indicator of (n, m)-functions based on the autocorrelation coefficients. We also get some upper and lower bounds on the sum-of-squares of DDT of balanced (n, m)-functions, and prove that the sum-of-squares of DDT of (n, m)-functions is affine invariant under affine affine equivalent. Furthermore, we obtain a relationship between the sum-of-squares of DDT and the signal-to-noise ratio of (n, m)-functions. In addition, we calculate the distributions of the sum-of-squares of DDT for all 3-bit S-boxes, the 4-bit optimal S-boxes and all 302 balanced S-boxes (up to affine equivalence), data experiments verify our results.
ER -