Designs from Linear Codes (Second Edition)
暫譯: 線性碼的設計(第二版)
Ding, Cunsheng, Tang, Chunming
- 出版商: World Scientific Pub
- 出版日期: 2022-01-01
- 售價: $6,530
- 貴賓價: 9.5 折 $6,204
- 語言: 英文
- 頁數: 540
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 9811251320
- ISBN-13: 9789811251320
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商品描述
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.
商品描述(中文翻譯)
自從本專著的第一版出版以來,針對有限域上線性碼的 Assmus-Mattson 定理的推廣已經發展出來,並且在 t-設計方面取得了兩項 70 年的突破以及相當多的其他進展。本第二版是對第一版的重大修訂和擴充。新增了兩個章節和兩個附錄,並且對第一版的大多數章節進行了修訂。本書提供了有關線性碼的 t-設計的全面且詳細的說明。本書的大多數章節涵蓋了線性碼的支援設計。少數章節則探討了以其他方式從線性碼獲得的設計。還研究了橢圓、超橢圓、最大弧、卵形體、特殊函數、線性碼和設計之間的聯繫。本書包含了有關線性碼設計的經典和最新結果。它旨在成為從事組合數學、編碼理論、數位通信或有限幾何的研究生和研究人員的參考資料。也可以作為這些學科領域研究生的教科書。