Construction of q-ary Constant Weight Sequences using a Knuth-like Approach

Elie Ngomseu Mambou; Theo G. Swart

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arXiv · 1706.00841

Construction of q-ary Constant Weight Sequences using a Knuth-like Approach

Elie Ngomseu Mambou·Theo G. Swart

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Abstract

We present an encoding and decoding scheme for constant weight sequences, that is, given an information sequence, the construction results in a sequence of specific weight within a certain range. The scheme uses a prefix design that is based on Gray codes. Furthermore, by adding redundant symbols we extend the range of weight values for output sequences, which is useful for some applications.

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Elie Ngomseu Mambou, Theo G. Swart. 2017-06-02. Construction of q-ary Constant Weight Sequences using a Knuth-like Approach. https://arxiv.org/abs/1706.00841

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