DocumentCode
2873127
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
Volume
11
fYear
2010
fDate
22-24 Oct. 2010
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/ICCASM.2010.5623154
Filename
5623154
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