[图书][B] Classification algorithms for codes and designs

P Kaski, PRJ Östergård - 2006 - Springer
Classification Algorithms for Codes and Designs Page 1 Algorithms and Computation in
Mathematics Volume 15 ฀ Classification Algorithms for Codes and Designs Classification …

Hadamard matrices, orthogonal designs and construction algorithms

S Georgiou, C Koukouvinos, J Seberry - DESIGNS 2002: Further …, 2003 - Springer
We discuss algorithms for the construction of Hadamard matrices. We include discussion of
construction using Williamson matrices, Legendre pairs and the discret Fourier transform …

Construction of new extremal self-dual codes

TA Gulliver, M Harada, JL Kim - Discrete Mathematics, 2003 - Elsevier
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 …

Isomorph-free exhaustive generation of designs with prescribed groups of automorphisms

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 autotopism groups of partial Latin rectangles

RJ Stones, RM Falcón, D Kotlar… - Journal of Experimental …, 2020 - dl.acm.org
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 …

A systematic construction of self-dual codes

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 …

New extremal self-dual doubly-even binary codes of length 88

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 …

[图书][B] Algorithms for classification of combinatorial objects

P Kaski - 2005 - aaltodoc.aalto.fi
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 …

[HTML][HTML] Hadamard 2-(63, 31, 15) designs invariant under the dihedral group of order 10

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 …

A Method for Classification of Doubly Resolvable Designs and Its Application

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 …