Hamming Weights in Irreducible Cyclic Codes

Details Hamming Weights in Irreducible Cyclic Codes Hamming Weights in Irreducible Cyclic Codes

2011-08-19

arxiv.org/abs/1108.3887v1

Computer Science

Information Theory

Scientific paper

Irreducible cyclic codes are an interesting type of codes and have applications in space communications. They have been studied for decades and a lot of progress has been made. The objectives of this paper are to survey and extend earlier results on the weight distributions of irreducible cyclic codes, present a divisibility theorem and develop bounds on the weights in irreducible cyclic codes.

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