Title :
Value distributions of exponential sums from perfect nonlinear functions
Author :
Xin, Hai ; Chao, Li
Author_Institution :
Dept. of Math. & Syst. Sci., Nat. Univ. of Denfense Technol., Changsha, China
Abstract :
Based on theory of quadratic forms over finite fields, the value distributions of the exponential sums are determined for all the known perfect nonlinear functions Π(x) from Fq to itself. Based on the value distributions of these exponential sums, the correlation distribution between two sequences is calculated for all the known perfect nonlinear functions Π(x) from Fq to itself except Coulter-Matthews functions.
Keywords :
Galois fields; cryptography; exponential distribution; nonlinear functions; Coulter-Matthews functions; correlation distribution; cryptanalysis; exponential sums; finite fields; perfect nonlinear functions; value distribution; Computer applications; Correlation; Cryptography; Equations; Galois fields; Mathematical model; Modeling; correlation distributions; exponential sums; perfect nonlinear functions; quadratic forms;
Conference_Titel :
Computer Application and System Modeling (ICCASM), 2010 International Conference on
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4244-7235-2
Electronic_ISBN :
978-1-4244-7237-6
DOI :
10.1109/ICCASM.2010.5623154
