Study on Hadamard matrices based on algebraic combinatorics

2017 Fiscal Year Final Research Report

• Project/Area Number: 15K21075
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Foundations of mathematics/Applied mathematics; Algebra
• Research Institution: Aichi University of Education
• Principal Investigator: Suda Sho 愛知教育大学, 教育学部, 講師 (30710206)
• Project Period (FY): 2015-04-01 – 2018-03-31
• Keywords: アダマール行列 / アソシエーションスキーム / mutually unbiased base

Outline of Final Research Achievements

I have studied combinatorial structures related to Hadamard matrices. By introducing the concepts of linked systems of symmetric group divisible designs and unbiased orthogonal designs, unifying methods to study the previous works are developed. Moreover, association schemes based on finite fields are constructed.

Free Research Field

代数的組合せ論