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Start Over Topic binary codes Publication Year Range Last 3 years Publication Type Reviews
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1. Book Review: "Designs from Linear Codes", second edition, by Cunsheng Ding and Chunming Tang, World Scientific, 2022.

Author

Tonchev, Vladimir D.

Subjects
LINEAR codes, BINARY codes, FINITE simple groups, CODING theory, REED-Muller codes, NUMBER theory
Abstract

These infinite families include BCH codes and their subfield subcodes and trace codes, codes defined by maximal arcs in finite projective planes, and other linear codes with various types of regularity. This book is an updated and expanded edition of the monograph [[2]] written by Dr. Cunsheng Ding. However, the question of the existence of an infinite family of near MDS codes that hold I t i -designs with HT t2 ht has been an open problem for 70 years. [Extracted from the article]

Published
2022
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