Title :
The simplex codes and other even-weight binary linear codes for error correction
Author :
Helleseth, Tor ; Kløve, Torleiv ; Levenshtein, Vladimir I.
Author_Institution :
Dept. of Inf., Bergen Univ., Norway
Abstract :
The probability of correct decoding on the binary-symmetric channel is studied. In particular, a class of codes with the same lengths and dimensions as the linear simplex codes, but with larger probability of correct decoding for all parameters p, 0 < p < 1/2, is given.
Keywords :
Reed-Muller codes; binary codes; decoding; error correction codes; linear codes; probability; Reed-Muller codes; binary-symmetric channel; correct decoding probability; error correction; even-weight binary linear codes; simplex codes; Combinatorial mathematics; Cryptography; Decoding; Electrons; Error correction; Error correction codes; Gaussian channels; Information theory; Linear code; Seminars; Error correction; Reed–Muller codes; linear codes; simplex codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2004.836708
