Title :
Trace representation of Legendre sequences of Mersenne prime period
Author :
No, Jong-Seon ; Lee, Hwan-Keun ; Chung, Habong ; Song, Hong-Yeop ; Yang, Kyeongcheol
Author_Institution :
Dept. of Electron. Eng., Konkuk Univ., Seoul, South Korea
fDate :
11/1/1996 12:00:00 AM
Abstract :
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
Keywords :
correlation theory; sequences; Legendre sequences; Mersenne prime period; finite field; trace function; trace representation; two level autocorrelation property; Autocorrelation; Binary sequences; Communication systems; Galois fields; Spread spectrum communication;
Journal_Title :
Information Theory, IEEE Transactions on
