Title :
Optimal linear codes of dimension 4 over F5
Author :
Kapralov, S. ; Maruta, T. ; Fukui, M.
fDate :
1/1/1997 12:00:00 AM
Abstract :
Let nq(k,d) be the smallest integer n for which there exists a linear code of length n, dimension k, and minimum distance d, over a field of q elements. In this correspondence we determine n5 (4,d) for all but 22 values of d
Keywords :
Galois fields; linear codes; Galois field; k-dimensional code; minimum distance; optimal linear codes; q-ary codes; Conferences; Decoding; Error correction codes; Hamming weight; Information theory; Linear code; Mathematics; Notice of Violation; Vectors; Welding;
Journal_Title :
Information Theory, IEEE Transactions on