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Dissections and Constant Weight Codes

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2 Author(s)
Vaishampayan, V.A. ; Shannon Lab., AT&T Labs-Res., NJ ; Sloane, N.

The problem of encoding and decoding binary block codes of length n and constant Hamming weight w is formulated as a polytope dissection problem. This is done by working with a w-dimensional Euclidean space representation for the information and code vectors. Novel algorithms based on two new dissections are presented. The first is a dissection of a subset of the codebook, and has time-complexity o(w). The second is a dissection of the entire codebook, and has time-complexity o(w log w). Implementation issues associated with the second algorithm are discussed in detail

Published in:

Information Theory Workshop, 2006. ITW '06 Chengdu. IEEE

Date of Conference:

22-26 Oct. 2006

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