Title :
Some results for linear binary codes with minimum distance 5 and 6
Author :
Bouyukliev, Iliya ; Varbanov, Zlatko
Author_Institution :
Inst. of Math. & Informatics, Bulgarian Acad. of Sci., Veliko Tarnovo, Bulgaria
Abstract :
We prove that a linear binary code with parameters [34,24,5] does not exist. Also, we characterize some codes with minimum distance 5 and 6.
Keywords :
binary codes; linear codes; optimisation; linear binary code; minimum distance; optimal code; Binary codes; Conferences; Error correction codes; Galois fields; Geometry; Hamming distance; Linear code; Notice of Violation; Statistics; Vectors; Algorithm; linear binary code; optimal code;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2005.859296
