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Designs from linear codes / Cunsheng Ding, The Hong Kong University of Science and Technology, Hong Kong, Chunming Tang, China West Normal University, China

Author
Ding, C. (Cunsheng), 1962-
Published
Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd., [2022]
Copyright Date
©2022
Edition
Second edition.
Physical Description
1 online resource (xvii, 521 pages) : illustrations
Additional Creators
Tang, Chunming
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Contents
Mathematical foundations -- Linear codes over finite fields -- Cyclic codes over finite fields -- Designs and codes -- Designs of binary Reed-Muller codes -- Affine invariant codes and their designs -- Weights in some BCH codes over GF(q) -- Designs from four types of linear codes -- Designs from primitive BCH codes -- Designs from codes with regularity -- Designs from QR and self-dual codes -- Designs from arc and MDS codes -- Designs from ovoid codes -- Quasi-symmetric designs from bent codes -- Almost MDS codes and their designs -- Beyond the Assmus-Mattson theorem.
Summary
"Since the publication of the first edition of this monograph, a generalisation of the Assmus-Mattson theorem for linear codes over finite fields has been developed, two 70-year breakthroughs and a considerable amount of other progress on t-designs from linear codes have been made. This second edition is a substantial revision and expansion of the first edition. Two new chapters and two new appendices have been added, and most chapters of the first edition have been revised. It provides a well-rounded and detailed account of t-designs from linear codes. Most chapters of this book cover the support designs of linear codes. A few chapters deal with designs obtained from linear codes in other ways. Connections among ovals, hyperovals, maximal arcs, ovoids, special functions, linear codes and designs are also investigated. This book consists of both classical and recent results on designs from linear codes. It is intended to be a reference for postgraduates and researchers who work on combinatorics, or coding theory, or digital communications, or finite geometry. It can also be used as a textbook for postgraduates in these subject areas"--
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Genre(s)
ISBN
9789811251337 (electronic bk.)
9811251339 (electronic bk.)
Bibliography Note
Includes bibliographical references (pages 501-514) and index.
Endowment Note
Florence E. Bridgewater Collections Endowment for the Engineering Library
View MARC record | catkey: 38976485