Title :
The Golay code and a code on the Klein quartic curve
Author :
Feng, Weishi ; Blahut, R.E.
Author_Institution :
Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA
Abstract :
The (24,12,8) Golay code over GF(2) is constructed as the subfield-subcode of a three symbol extended (21,16,4) code constructed on the Klein quartic over GF(8) in a nontraditional way
Keywords :
Galois fields; Golay codes; Reed-Solomon codes; (24,12,8) Golay code; GF(2); GF(8); Klein quartic curve; subfield-subcode; three symbol extended (21,16,4) code; Equations; Fourier transforms; Geometry; Polynomials; Reed-Solomon codes;
Conference_Titel :
Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on
Conference_Location :
Cambridge, MA
Print_ISBN :
0-7803-5000-6
DOI :
10.1109/ISIT.1998.708869
