On the Autocorrelation and Linear Complexity of Some 2p Periodic Quaternary Cyclotomic Sequences over F4

Author:

KE Pinhui1,YANG Zheng1,ZHANG Jie2

Affiliation:

1. Key Laboratory of Network Security and Cryptology, Fujian Normal University

2. School of Science, Beijing University of Posts and Telecommunications

Publisher

Institute of Electronics, Information and Communications Engineers (IEICE)

Subject

Applied Mathematics,Electrical and Electronic Engineering,Computer Graphics and Computer-Aided Design,Signal Processing

Reference15 articles.

1. [1] D.M. Burton, Elementary Number Theory, Fourth ed., McGraw-Hill International Editions, 1998.

2. [2] T. Cusick, C. Ding, and A. Renvall, Stream Ciphers and Number Theory, North-Holland Mathematical Library 55, pp.198-212, 1998.

3. [3] X.N. Du and Z.X. Chen, “Linear complexity of quaternary sequences generated using generalized cyclotomic classes modulo 2p,” IEICE Trans. Fundamentals, vol.E94-A, no.5, pp.1214-1217, May 2011.

4. The minimal polynomial over Fq of linear recurring sequence over Fqm

5. [5] S.W. Golomb and G. Gong, Signal Design for Good Correlation: For Wireless Communications, Cryptography and Radar Applications, Cambridge University Press, 2005.

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1. Autocorrelation values of quaternary cyclotomic sequence of length 2pm;International Journal of Wavelets, Multiresolution and Information Processing;2020-07-31

2. Linear Complexity of a New Class of Quaternary Generalized Cyclotomic Sequence with Period 2pm;Complexity;2020-03-10

3. New Families of Quaternary Sequences of Period 2p with Low Autocorrelation;IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences;2018-11-01

4. Linear Complexity over Fq of Generalized Cyclotomic Quaternary Sequences with Period 2p;IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences;2015

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