On the Linear Complexity of Legendre Sequences Over Fq
Author:
Affiliation:
1. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences
2. School of Mathematical Science and LPMC, Nankai University
Publisher
Institute of Electronics, Information and Communications Engineers (IEICE)
Subject
Applied Mathematics,Electrical and Electronic Engineering,Computer Graphics and Computer-Aided Design,Signal Processing
Link
https://www.jstage.jst.go.jp/article/transfun/E97.A/7/E97.A_1627/_pdf
Reference12 articles.
1. [1] B.C. Berndt, R.J. Evans, and K.S. Williams, Gauss and Jacobi Sums, Wiley, New York, 1998.
2. [2] A.J. Bromfield and F.C. Piper, “Linear recursion properties of uncorrelated binary sequences,” Discrete Applied Mathematics, vol.27, no.3, pp.187-193, 1990.
3. [3] I. Damgard, “On the randomness of Legendre and Jacobi sequences,” Advances in Cryptology: CRYPTO'88, LNCS 403, pp.163-172, 1990.
4. [4] C. Ding, “The differential cryptanalysis and design of natural stream ciphers,” Fast Software Encryption, LNCS 809, pp.101-115, 1994.
5. [5] C. Ding, “Cyclic codes from cyclotomic sequences of order four,” Finite Fields and Their Appl., vol.23, pp.8-24, 2013.
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