DocumentCode
2257264
Title
On codes containing Hermitian codes
Author
Blahut, Richard E.
Author_Institution
Illinois Univ., Urbana, IL, USA
fYear
1995
fDate
17-22 Sep 1995
Firstpage
101
Abstract
It is shown that certain syndromes of a Hermitian code are not needed for decoding. These syndromes can be replaced by data symbols thereby increasing the dimension of the code without changing the designed minimum distance. Hermitian codes and hyperbolic codes are defined on the affine plane GF(q)2. A hyperbolic code is defined for any q and is a two-dimensional cyclic code. A Hermitian code is defined for q which is an even power of two; it can be viewed as a shortened two-dimensional cyclic code
Keywords
Galois fields; algebraic geometric codes; cyclic codes; Galois field; Hermitian codes; affine plane; algebraic geometric codes; code dimension; data symbols; decoding; hyperbolic codes; minimum distance; shortened two-dimensional cyclic code; syndromes; two-dimensional cyclic code; Constraint theory; Decoding; Displays; Filling; Linear code; Polynomials; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory, 1995. Proceedings., 1995 IEEE International Symposium on
Conference_Location
Whistler, BC
Print_ISBN
0-7803-2453-6
Type
conf
DOI
10.1109/ISIT.1995.531305
Filename
531305
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