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.
Bibliographical noteFunding 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