Programming Languages White Papers
Constant Weight Codes: A Geometric Approach Based on Dissections
Overview This paper presents a novel technique for encoding and decoding constant weight binary codes that uses a geometric interpretation of the codebook. Their technique is based on embedding the codebook in a Euclidean space of dimension equal to the weight of the code. The encoder and decoder mappings are then interpreted as a bijection between a certain hyper-rectangle and a polytope in this Euclidean space. An inductive dissection algorithm is developed for constructing such a bijection. They prove that the algorithm is correct and then analyze its complexity. The complexity depends on the weight of the code, rather than on the block length as in other algorithms. This approach is advantageous when the weight is smaller than the square root of the block length.
| Publisher | Institute of Electrical and Electronics Engineers | File Format | |
|---|---|---|---|
| Date Published | June 2007 | ||
| Format | White Papers | ||
| Topics | |||
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