Title :
On Grobner bases of the error-locator ideal of Hermitian codes
Author :
Chen, Xuemin ; Reed, I.S. ; Helleseth, T.
Author_Institution :
Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA, USA
Abstract :
The authors consider error-correcting codes constructed from an affine version of the Hermitian curve. The procedure for determining the error positions is independent of the method needed to find the error values. A decoding method based on Buchberger´s algorithm (1985) is developed
Keywords :
Hermitian matrices; decoding; error correction codes; Buchberger algorithm; Grobner bases; Hermitian codes; Hermitian curve; affine version; decoding method; error correcting codes; error locator ideal; error positions; error values; Councils; Decoding; FAA; Informatics; Multidimensional systems; Nonlinear equations; Polynomials; Publishing;
Conference_Titel :
Information Theory, 1995. Proceedings., 1995 IEEE International Symposium on
Conference_Location :
Whistler, BC
Print_ISBN :
0-7803-2453-6
DOI :
10.1109/ISIT.1995.531298
