Selected Unsolved Problems in Coding Theory (Applied and Numerical Harmonic Analysis)
Selected Unsolved Problems in Coding Theory (Applied and Numerical Harmonic Analysis)
复制标题
编码理论中未解决的问题精选（应用和数值谐波分析）
DOI：
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发表时间：
2011
期刊：
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通讯作者：
Jon
中科院分区：
文献类型：
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作者：
D. Joyner;Jon
使用原始的呈现模式，并强调该主题的计算性质，这本书探讨了编码理论中仍然存在的一些未解决的问题。纠错码理论是一个成熟的、高度相关的数学分支，它关注的是在有噪声的信道上可靠地传输数据。尽管经常在一系列的上下文中使用，这个主题仍然包含有趣的未解决的问题，这些问题已经被近几十年来一些最着名的数学家拒绝解决。采用Sagea免费开源数学软件系统来说明想法，这本书是为研究生和研究人员在代数编码理论。本书可作为编码理论研究生课程的补充阅读材料或自学。
Using an original mode of presentation, and emphasizing the computational nature of the subject, this book explores a number of the unsolved problems that still exist in coding theory. A well-established and highly relevant branch of mathematics, the theory of error-correcting codes is concerned with reliably transmitting data over a noisy channel. Despite frequent use in a range of contexts, the subject still contains interesting unsolved problems that have resisted solution by some of the most prominent mathematicians of recent decades. Employing Sagea free open-source mathematics software systemto illustrateideas, this bookis intended for graduate students and researchers in algebraic coding theory. The work may be used as supplementary reading material in a graduate course on coding theory or for self-study.