Workshop on Algebraic Design Theory and Hadamard Matrices, July 8 - 11, 2014

代数设计理论和 Hadamard 矩阵研讨会，2014 年 7 月 8 日至 11 日

• 批准号: 1439448
• 负责人: Vladimir Tonchev
• 金额: $ 1万
• 依托单位: Michigan Technological University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-06-01 至 2015-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1439448&HistoricalAwards=false
• 关键词: Workshop; Algebraic; Design; Theory; Hadamard

This award provides support for US researchers who will attend the "Workshop on Algebraic Design Theory and Hadamard Matrices," to be held at University of Lethbridge, Canada, during July 8-11, 2014. The purpose of the workshop is to bring together researchers and students interested in the theory of Hadamard matrices and their applications, as well as related areas such as combinatorial design theory, coding theory, quantum information theory and computer security. The participants will learn about the latest developments in these areas, and explore different visions for setting directions for future work.Hadamard matrices are indispensable in engineering applications related to mobile communications, data transmission, and error-control codes. In 1893, the great French mathematician Jacques Hadamard posed a problem, which later became known as the Hadamard matrix conjecture, namely, that every positive integer divisible by 4 is the order of a square matrix with entries plus or minus one, and having pairwise orthogonal rows. Although many infinite classes of such matrices are known and a rich theory has evolved, this problem remains unresolved and has risen in the field of combinatorics to a status comparable to that held until recently by Fermat's Last Theorem in number theory.

该奖项为美国研究人员提供支持，他们将参加2014年7月8日至11日在加拿大莱斯布里奇大学举行的“代数设计理论和阿达玛矩阵研讨会”。研讨会的目的是汇集研究人员和学生感兴趣的阿达玛矩阵理论及其应用，以及相关领域，如组合设计理论，编码理论，量子信息理论和计算机安全。Hadamard矩阵在移动的通信、数据传输和差错控制码等工程应用中是不可缺少的。在1893年，伟大的法国数学家雅克·阿达玛提出了一个问题，后来被称为阿达玛矩阵猜想，即每个能被4整除的正整数都是一个方阵的阶，其元素加或减1，并且具有成对正交行。虽然许多无限类这样的矩阵是已知的和丰富的理论已经发展，这个问题仍然没有得到解决，并已上升到一个地位，在组合数学领域举行的费马最后定理，直到最近在数论。