Trace Representation of Legendre Sequences

Jeong Heon Kim; Hong Yeop Song

doi:10.1023/A:1011287607979

Trace Representation of Legendre Sequences

Jeong Heon Kim, Hong Yeop Song

Department of Electrical and Electronic Engineering

Research output: Contribution to journal › Article › peer-review

37 Citations (Scopus)

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(2ⁿ) to G F(2), where n is the order of 2 mod p.

Original language	English
Pages (from-to)	343-348
Number of pages	6
Journal	Designs, Codes, and Cryptography
Volume	24
Issue number	3
DOIs	https://doi.org/10.1023/A:1011287607979
Publication status	Published - 2001 Dec

Bibliographical note

Funding Information:
The authors would like to thank the referees for their valuable comments and suggestions. This work was supported by the University Research Program supported by Ministry of Information and Communication in South Korea in the Program Year 1999 and the Brain Korea 21 project.

All Science Journal Classification (ASJC) codes

Computer Science Applications
Applied Mathematics

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10.1023/A:1011287607979

Cite this

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title = "Trace Representation of Legendre Sequences",

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(2n) to G F(2), where n is the order of 2 mod p.",

author = "Kim, {Jeong Heon} and Song, {Hong Yeop}",

note = "Funding Information: The authors would like to thank the referees for their valuable comments and suggestions. This work was supported by the University Research Program supported by Ministry of Information and Communication in South Korea in the Program Year 1999 and the Brain Korea 21 project.",

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AU - Song, Hong Yeop

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N2 - 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(2n) to G F(2), where n is the order of 2 mod p.

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Trace Representation of Legendre Sequences

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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