A New Construction for Constant Weight Codes

Details A New Construction for Constant Weight Codes A New Construction for Constant Weight Codes

2010-04-09

arxiv.org/abs/1004.1503v1

Computer Science

Information Theory

6 pages

Scientific paper

A new construction for constant weight codes is presented. The codes are constructed from $k$-dimensional subspaces of the vector space $\Fqn$. These subspaces form a constant dimension code in a Grassmannian. Some of the constructed codes are optimal constant weight codes with parameters not known before. An efficient algorithm for error-correction is given for these codes. If the constant dimension code has an efficient encoding and decoding algorithm then also the constructed constant weight code has an efficient encoding and decoding algorithm.

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