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

该奖项为参加将于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”的美国研究人员提供支持。研讨会的目的是汇集对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感兴趣的研究人员和学生。与会者将了解这些领域的最新发展，并探讨不同的愿景，为未来的工作制定方向。阿达玛矩阵在与移动通信、数据传输和错误控制码相关的工程应用中是不可或缺的。1893年，伟大的法国数学家雅克·阿达玛尔提出了一个问题，这个问题后来被称为阿达玛尔矩阵猜想，即每一个能被4整除的正整数都是一个方阵的阶，这个方阵的项是正负1，并且行是成对正交的。尽管已知许多无限类的矩阵，并且已经发展出丰富的理论，但这个问题仍然没有解决，并且在组合学领域已经上升到与数论中的费马大定理相当的地位。

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.