THE DIFFERENTIAL SPECTRUM OF A CLASS OF POWER FUNCTIONS OVER FINITE FIELDS

Lei Lei; Ren Wenli; Fan Cuiling

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THE DIFFERENTIAL SPECTRUM OF A CLASS OF POWER FUNCTIONS OVER FINITE FIELDS

机译：在有限字段上一类功率函数的差分谱

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Functions with good differential-uniformity properties have important applications in coding theory and sequence design in addition to the applications in cryptography. The differential spectrum of a cryptographic function is useful for estimating its resistance to some variants of differential cryptanalysis. The objective of this paper is to determine the differential spectrum of the power function x(p2k)-p(k)+1 over F-pn, where p is an odd prime, n; k; e are integers with gcd(n, k) = e and n/e being odd. In particular, when n is odd and e = 1, our result includes a recent one (IEEE Trans. Inform. Theory 65(10): 6819-6826) as a special case.

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《Advances in mathematics of communications》 |2021年第3期|共13页
作者
Lei Lei; Ren Wenli; Fan Cuiling;
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作者单位

Southwest Jiaotong Univ Sch Math Chengdu 610031 Peoples R China;

Dezhou Univ Coll Math Sci Dezhou 253023 Peoples R China;

Southwest Jiaotong Univ Sch Math Chengdu 610031 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Power permutation; differential uniformity; differential spectrum; exponential sum;

机译：功率排列;差异均匀性;差分谱;指数总和;

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4. Differential Spectrum of Kasami Power Permutations Over Odd Characteristic Finite Fields [J] . Yan Haode, Zhou Zhengchun, Weng Jian, IEEE Transactions on Information Theory . 2019,第10期

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THE DIFFERENTIAL SPECTRUM OF A CLASS OF POWER FUNCTIONS OVER FINITE FIELDS

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