Title :
Adding a parity-check bit
Author :
Simonis, Juriaan
Author_Institution :
Fac. of Inf. Technol. & Syst., Delft Univ. of Technol., Netherlands
fDate :
7/1/2000 12:00:00 AM
Abstract :
The article gives a new condition for a q-ary linear code of length n and minimum distance d to be extendable to a code of the same dimension, length n+1, and minimum distance >d
Keywords :
binary codes; error detection codes; linear codes; Reed-Muller codes; binary linear code; code dimension; code length; minimum distance; parity-check bit addition; q-ary linear code; Galois fields; Information technology; Linear code; Parity check codes; Polynomials; Vectors;
Journal_Title :
Information Theory, IEEE Transactions on