In this correspondence, it is shown that Legendre sequences of period p can be explicitly represented using the trace function defined on the finite field with 2n elements, whenever p = 2n - 1 is prime for some n > 3.
Bibliographical noteFunding Information:
Manuscript received April 11, 1996; revised June 10, 1996. This work was supported in part by the Korea Science and Engineering Foundation (KOSEF) under Grant 951-0913-074-2 and in part by the Korean Ministry of Information and Communications. J.-S. No and H.-K. Lee are with the Department of Electronic Engineering, Konkuk University, Seoul 143-701, Korea. H. Chung is with the School of Electronic and Electrical Engineering, Hong-Ik University, Seoul 121-791, Korea. H.-Y. Song is with the Department of Electronic Engineering, Yonsei University, Seoul 120-749, Korea. K. Yang is with the Department of Electronic Communication Engineering, Hanyang University, Seoul 133-791, Korea. Publisher Item Identifier S 0018-9448(96)07293-8.
All Science Journal Classification (ASJC) codes
- Information Systems
- Computer Science Applications
- Library and Information Sciences