Title :
A Class of Punctured Simplex Codes Which Are Proper for Error Detection
Author :
Baldi, Marco ; Bianchi, Marco ; Chiaraluce, Franco ; Kløve, Torleiv
Author_Institution :
Dipt. di Ing. dell´´Inf., Univ. Politec. delle Marche, Ancona, Italy
fDate :
6/1/2012 12:00:00 AM
Abstract :
Binary linear [n,k] codes that are proper for error detection are known for many combinations of n and k. For the remaining combinations, existence of proper codes is conjectured. In this paper, a particular class of [n,k] codes is studied in detail. In particular, it is shown that these codes are proper for many combinations of n and k which were previously unsettled.
Keywords :
binary codes; error detection codes; linear codes; binary linear code; error detection; punctured simplex code; Electronic mail; Error probability; Generators; Hamming weight; Parity check codes; Polynomials; Vectors; Error detection; proper codes; punctured codes; satisfactory codes; simplex codes; ugly codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2012.2188711
