Matrix combination scheme

Author: Wang Yangxian
Publisher:
Publish Date: 2006-09-01
Features: This book discusses the construction of combinatorial designs based on various typical matrices over finite fields under group actions. The content primarily includes combinatorial designs constructed from rectangular matrices, skew matrices, Hermitian matrices, symmetric matrices, and quadratic forms over finite fields. It derives general parameter calculation formulas for these combinatorial designs, discusses their fundamental properties such as primitivity, duality, P-polynomials, and automorphism groups. Special attention is given to the eigenvalues of quadratic form combinatorial designs when the characteristic is 2, as well as the dual schemes of aggregation schemes. This book is suitable for senior undergraduate and graduate students, teachers, and mathematicians in mathematics and information science, as well as for other relevant scientific and technological workers.
，,：Author: Wang Yangxian
Publisher:
Publish Date: 2006-09-01
Features: This book discusses the construction of combinatorial designs based on various typical matrices over finite fields under group actions. The content primarily includes combinatorial designs constructed from rectangular matrices, skew matrices, Hermitian matrices, symmetric matrices, and quadratic forms over finite fields. It derives general parameter calculation formulas for these combinatorial designs, discusses their fundamental properties such as primitivity, duality, P-polynomials, and automorphism groups. Special attention is given to the eigenvalues of quadratic form combinatorial designs when the characteristic is 2, as well as the dual schemes of aggregation schemes. This book is suitable for senior undergraduate and graduate students, teachers, and mathematicians in mathematics and information science, as well as for other relevant scientific and technological workers.