Trace Representation of Legendre Sequences

Jeong Heon Kim, Hong Yeop Song

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)


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 languageEnglish
Pages (from-to)343-348
Number of pages6
JournalDesigns, Codes, and Cryptography
Issue number3
Publication statusPublished - 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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