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Constant Weight Codes: An Approach Based on Knuth's Balancing Method

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2 Author(s)
Vitaly Skachek ; Inst. of Comput. Sci., Univ. of Tartu, Tartu, Estonia ; Kees A. Schouhamer Immink

In this article, we study properties and algorithms for constructing sets of constant weight codewords with bipolar symbols, where the sum of the symbols is a constant q, qneq 0. We show various code constructions that extend Knuth's balancing vector scheme, q=0, to the case where q>0. We compute the redundancy of the new coding methods. Finally, we generalize the proposed methods to encoding of imbalanced arrays in two or more dimensions.

Published in:

IEEE Journal on Selected Areas in Communications  (Volume:32 ,  Issue: 5 )