Title :
On codes containing Hermitian codes
Author :
Blahut, Richard E.
Author_Institution :
Illinois Univ., Urbana, IL, USA
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;
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.1995.531305
