Title :
Automorphisms of F.K. Schmidt codes and a new method to derive cyclic sub-codes from algebraic geometric codes
Author :
Lima, Leoearlos B S ; Assis, Francisco M.
Author_Institution :
ENST/COMELEC, Paris, France
Abstract :
We present a new method to obtain cyclic sub-codes of algebraic geometric codes using their automorphisms. Automorphisms of algebraic geometric codes from F.K. Schmidt curves are proposed. We present an application of this method in designing frequency hopping sequences for spread spectrum systems. Algebraic geometric codes can provide sequences longer (better randomness) than the ones from Reed-Solomon codes.
Keywords :
algebraic geometric codes; code division multiple access; cyclic codes; frequency hop communication; spread spectrum communication; CDMA; F.K. Schmidt curves; Reed-Solomon codes; algebraic geometric codes; automorphism; cyclic sub-codes; frequency hopping sequences; spread spectrum systems; Design methodology; Equations; Frequency; H infinity control; Multiaccess communication; Reed-Solomon codes; Spread spectrum communication;
Conference_Titel :
Personal, Indoor and Mobile Radio Communications, 2002. The 13th IEEE International Symposium on
Print_ISBN :
0-7803-7589-0
DOI :
10.1109/PIMRC.2002.1045467
