Trace Representation over Fr of Binary Jacobi Sequences with Period pq

被引：1
|
作者：
Qi, Minglong [1 ]
Xiong, Shengwu [1 ]
Yuan, Jingling [1 ]
Rao, Wenbi [1 ]
Zhong, Luo [1 ]
机构：
[1] Wuhan Univ Technol, Sch Comp Sci & Technol, Wuhan 430070, Peoples R China
来源：
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES | 2015年 / E98A卷 / 03期
关键词：
Jacobi sequence; trace representation; indicator function; quadratic character; pqth root of unity; quaternary generalized cyclotomic sequence; GENERALIZED CYCLOTOMIC SEQUENCES; LEGENDRE SEQUENCES; LINEAR COMPLEXITY;
D O I：
10.1587/transfun.E98.A.912
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this letter, we give a trace representation of binary Jacobi sequences with period pq over an extension field of the odd prime field F-r. Our method is based on the use of a pqth root of unity over the extension field, and the representation of the Jacobi sequences by corresponding indicator functions and quadratic characters of two primes p and q.
引用
收藏
页码：912 / 917
页数：6
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