Trace Representation of Legendre Sequences

Authors:
Jeong-Heon Kim;Hong-Yeop Song
Affiliations:
School of Electrical and Electronic Engineering, Yonsei University, Seoul Koreaheon@calab.yonsei.ac.kr;School of Electrical and Electronic Engineering, Yonsei University, Seoul Koreahysong@yonsei.ac.kr
Venue:
Designs, Codes and Cryptography
Year:
2001

Citing 3
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Abstract

In this paper, a Legendre sequence of period p for any odd prime p is explicitely represented as a sum of trace functions from GF(2^n) to GF(2), where n is the order of 2 mod p.