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 …

Self-dual bent sequences for complex Hadamard matrices

M Shi, Y Li, W Cheng, D Crnković, D Krotov… - Designs, codes and …, 2023 - Springer
A new notion of bent sequence related to Hadamard matrices was introduced recently,
motivated by a security application (Solé et al. 2021). In this paper we introduce the …

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 …

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 …

[PDF][PDF] The existence of a Bush-type Hadamard matrix of order 36 and two new infinite classes of symmetric designs

Z Janko - Journal of Combinatorial Theory, Series A, 2001 - mathscinet.ru
A symmetric (v, k,*) design can be described as a square v_v (0, 1)-matrix with constant row
sum equal to k and constant scalar product of pairs of rows equal to*. A Hadamard matrix of …

Bush‐type Hadamard matrices and symmetric designs

Z Janko, H Kharaghani… - Journal of Combinatorial …, 2001 - Wiley Online Library
Abstract Abstact: A symmetric 2‐(100, 45, 20) design is constructed that admits a tactical
decomposition into 10 point and block classes of size 10 such that every point is in either 0 …

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] Doubly regular digraphs and symmetric designs

YJ Ionin, H Kharaghani - Journal of Combinatorial Theory, Series A, 2003 - Elsevier
If an incidence matrix N of a symmetric design is such that N+ Nt is a (0, 1) matrix, then N is
an adjacency matrix of a doubly regular asymmetric digraph, and vice versa. We construct …

A block negacyclic Bush-type Hadamard matrix and two strongly regular graphs

Z Janko, H Kharaghani - Journal of Combinatorial Theory, Series A, 2002 - Elsevier
A block negacyclic Bush-type Hadamard matrix of order 36 is used in a symmetric BGW (26,
25, 24) with zero diagonal over a cyclic group of order 12 to construct a twin strongly regular …

[PDF][PDF] Hadamard Matrices and Strongly Regular Graphs with the -ec Adjacency Property

A Bonato, WH Holzmann, H Kharaghani - the electronic journal of …, 2000 - emis.de
Abstract A graph is $3 $-ec if for every $3 $-element subset $ S $ of the vertices, and for
every subset $ T $ of $ S $, there is a vertex not in $ S $ which is joined to every vertex in $ T …