We discuss algorithms for the construction of Hadamard matrices. We include discussion of construction using Williamson matrices, Legendre pairs and the discret Fourier transform …
In this paper, new binary extremal self-dual codes are presented. A number of new extremal singly-even self-dual codes of lengths 48, 64 and 78, and extremal doubly-even self-dual …
P Kaski - SIAM Journal on Discrete Mathematics, 2005 - SIAM
We develop an algorithm framework for isomorph-free exhaustive generation of designs admitting a group of automorphisms from a prescribed collection of pairwise nonconjugate …
Computing the autotopism group of a partial Latin rectangle (PLR) can be performed in multiple ways. This study has two aims: comparing some of these methods experimentally to …
JC Carlach, A Otmani - IEEE transactions on Information …, 2003 - ieeexplore.ieee.org
A new coding construction scheme of block codes using short base codes and permutations that enables the construction of binary self-dual codes is presented in Cadic et al.(2001) and …
V Goodwin, V Yorgov - Finite Fields and Their Applications, 2005 - Elsevier
The known structure of the automorphism group of the extended binary quadratic-residue code of length 80 is used for the construction of 36 new extremal doubly-even codes of …
A recurrently occurring problem in combinatorics is the need to completely characterize a finite set of finite objects implicitly defined by a set of constraints. For example, one could ask …
Z Mateva, S Topalova - Discrete mathematics, 2009 - Elsevier
All Hadamard 2-(63, 31, 15) designs invariant under the dihedral group of order 10 are constructed and classified up to isomorphism together with related Hadamard matrices of …
S Zhelezova - Serdica Journal of Computing, 2011 - serdica-comp.math.bas.bg
The resolvability of combinatorial designs is intensively investigated because of its applications. This research focuses on resolvable designs with an additional property-they …