Title :
The weight hierarchies of some product codes
Author_Institution :
Dept. of Math., Wisconsin Univ., Madison, WI, USA
fDate :
9/1/2000 12:00:00 AM
Abstract :
We determine the weight hierarchies of the product of an n-tuple space and an arbitrary code, the product of an m-dimensional even-weight code and the [24,12,8] extended Golay code, and the product of an m-dimensional even-weight code and the [8,4,4] extended Hamming code. The conjecture dr=d*r is proven for all three cases
Keywords :
Golay codes; Hamming codes; binary codes; linear codes; arbitrary code; binary linear codes; extended Golay code; extended Hamming code; m-dimensional even-weight code; n-tuple space; product codes; weight hierarchies; Concatenated codes; Conferences; Convolutional codes; Information theory; Iterative decoding; Maximum likelihood decoding; Merging; Parity check codes; Product codes; Turbo codes;
Journal_Title :
Information Theory, IEEE Transactions on
