[图书][B] Algebraic design theory

W De Launey, DL Flannery - 2011 - books.google.com
Combinatorial design theory is a source of simply stated, concrete, yet difficult discrete
problems, with the Hadamard conjecture being a prime example. It has become clear that …

Recent progress in algebraic design theory

Q Xiang - Finite Fields and Their Applications, 2005 - Elsevier
Recent progress in algebraic design theory Page 1 Finite Fields and Their Applications 11 (2005)
622–653 http://www.elsevier.com/locate/ffa PG1- Recent progress in algebraic design theory …

Symmetric Bush-Type Hadamard Matrices of Order Exist for All Odd m

M Muzychuk, Q Xiang - Proceedings of the American Mathematical Society, 2006 - JSTOR
Symmetric Bush-Type Hadamard Matrices of Order <tex-math>$4m^4$</tex-math> Exist for
All Odd m Page 1 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume …

Switching of edges in strongly regular graphs I: A family of partial difference sets on 100 vertices

LK Jørgensen, M Klin - the electronic journal of combinatorics, 2003 - combinatorics.org
We present 15 new partial difference sets over 4 non-abelian groups of order 100 and 2 new
strongly regular graphs with intransitive automorphism groups. The strongly regular graphs …

Self-dual Hadamard bent sequences

M Shi, Y Li, W Cheng, D Crnkoviš, D Krotov… - Journal of Systems …, 2023 - Springer
A new notion of bent sequence related to Hadamard matrices was introduced recently,
motivated by a security application (Solé, et al., 2021). The authors study the self-dual class …

LCD codes from weighing matrices

D Crnković, R Egan, BG Rodrigues, A Švob - Applicable Algebra in …, 2021 - Springer
Linear codes with complementary duals are linear codes whose intersection with their duals
are trivial, shortly named LCD codes. In this paper we outline a construction for LCD codes …

Как гипотезе Адамара помочь стать теоремой. Часть 1

НА Балонин, МБ Сергеев - Информационно-управляющие …, 2018 - cyberleninka.ru
Введение: гипотеза Адамара о существовании специфических квадратных матриц
сформулирована не Адамаром, а математиками начала прошлого века. В середине …

The existence of a Bush-type Hadamard matrix of order 324 and two new infinite classes of symmetric designs

Z Janko, H Kharaghani, VD Tonchev - Designs, Codes and Cryptography, 2001 - Springer
Abstract A symmetric 2-(324, 153, 72) design is constructed that admits a tactical
decomposition into 18 point and block classes of size 18 such that every point is in either 0 …

[HTML][HTML] Orbit matrices of Hadamard matrices and related codes

D Crnković, R Egan, A Švob - Discrete mathematics, 2018 - Elsevier
In this paper we introduce the notion of orbit matrices of Hadamard matrices with respect to
their permutation automorphism groups and show that under certain conditions these orbit …

Как гипотезе Адамара помочь стать теоремой. Часть 2

НА Балонин, МБ Сергеев - Информационно-управляющие …, 2019 - cyberleninka.ru
Введение: гипотеза Адамара о существовании специфических квадратных матриц
сформулирована не Адамаром, а математиками начала прошлого века. В середине …