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A new class of generalized almost perfect nonlinear monomial functions

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成果类型:
期刊论文
作者:
Zheng, Lijing;Kan, Haibin;Peng, Jie;Li, Yanjun;Zheng, Yanbin
通讯作者:
Kan, HB
作者机构:
[Zheng, Lijing] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
[Kan, Haibin] Fudan Univ, Sch Comp Sci, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China.
[Kan, Haibin] Shanghai Engn Res Ctr Blockchain, Shanghai 200433, Peoples R China.
[Kan, Haibin] Fudan Univ, Yiwu Res Inst, Yiwu 322000, Peoples R China.
[Peng, Jie] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China.
通讯机构:
[Kan, HB ] F
Fudan Univ, Sch Comp Sci, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China.
Shanghai Engn Res Ctr Blockchain, Shanghai 200433, Peoples R China.
Fudan Univ, Yiwu Res Inst, Yiwu 322000, Peoples R China.
语种:
英文
关键词:
Algebraic degree;Cryptography;Finite field;Generalized almost perfect nonlinear function;Monomial
期刊:
Information Processing Letters
ISSN:
0020-0190
年:
2024
卷:
184
基金类别:
The authors are grateful to the Editor and the anonymous reviewers for their valuable comments which have highly improved the manuscript. In particular, the use of results of [12] in the proof of Proposition 3.3 is due to two of the referees. This research is partly supported by National Natural Science Foundation of China (Grant Nos. 62372221 , 61972258 , 62272107 & U19A2066 ), by Hunan Provincial Natural Science Foundation of China (Grant No. 2023JJ30517 ), the Innovation Plan of Shanghai Science and Technology (Grant No. 21511102200 ), the Key R & D Program of Guangdong Province (No. 2020B0101090001 ), Natural Science Foundation of Shandong (Grant No. ZR2021MA061 ), and Guangdong Basic and Applied Basic Research Foundation (Grant No. 2021A1515011954 ).
机构署名:
本校为第一机构
院系归属:
数理学院
摘要:
In this short note, we present a new class of GAPN power functions of the type xk2p2i+k1pi+k0 over finite fields Fpn with p odd and gcd(n, i) = 1 (up to EA-equivalence). (c) 2023 Else...

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