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

页码：912 / 917

页数：6

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