Author_Institution :
Dept. of Math., Univ. of Illinois, Urbana, IL, USA
Abstract :
We determine the actual parameters for a class of one-point codes of length 64 and 65 over F8 defined by Hansen and Stichtenoth (1990). Several codes have a minimum distance that exceeds the Feng-Rao bound. The codes with parameters [64,5,51], [64,10,42], [64,11,42], [64,12,40], [65,5,52], [65,10,43], [65,11,42], [65,12,41], and [65,13,40] are better than any known code.
Keywords :
Goppa codes; Reed-Solomon codes; geometric codes; Feng-Rao bound; Hansen-Stichtenoth curve; geometric Goppa code; geometric Reed-Solomon codes; length 64 code; length 65 code; minimum distance; one-point codes; Algebra; Decoding; Equations; Galois fields; H infinity control; Mathematics; Reed-Solomon codes; Testing; Upper bound;
