Author :
Bouyukliev, Iliya ; Guritman, Sugi ; Vavrek, Vesselin
Author_Institution :
Inst. of Math., Bulgarian Acad. of Sci., Tarnovo, Bulgaria
Abstract :
We prove the nonexistence of binary [69,9,32] codes and construct codes with parameters [76,9,34],[297,9,146], and [300,9,148]. These results show that n(9,32)=70, n(9,34)⩽76,n(9,146)=297, and n(9,148)=300, where n(k,d) denotes the smallest value of n for which there exists an [n,k,d] binary code. We also present some codes of minimum distance 32 and some related codes
Keywords :
binary codes; linear codes; binary linear codes; dimension nine codes; minimum distance; minimum length bounds; Block codes; Convolutional codes; Lattices; Linear code; Maximum likelihood decoding; Maximum likelihood detection; Maximum likelihood estimation; Notice of Violation; Vectors; Viterbi algorithm;
