In a recent survey, Schmidt compiled equivalences between generalized bent functions, group invariant Butson Hadamard ...

Based on the binary product described by any Latin square, the Hadamard quasigroup product is introduced in this paper as ...

One of the fastest known general techniques for computing permanents is Ryser’s formula. On this note, we show that this ...

Codes from generalized Hadamard matrices have already been introduced. Here we deal with these codes when the generalized ...

Since Horadam and de Launey introduced the cocyclic framework on combinatorial designs in the 1990s, it has revealed itself ...

About twenty-five years ago, Horadam and de Launey introduced the cocyclic development of designs, from which the notion ...

A quasi-orthogonal cocycle, defined over a group of order congruent to 2 modulo 4, is naturally analogous to an orthogonal ...

In this paper we study Butson Hadamard matrices, and codes over finite rings coming from these matrices in logarithmic ...

We introduce almost supplementary difference sets (ASDS). For odd m, certain ASDS in Zm that have amicable incidence ...

This paper deals with partial binary Hadamard matrices. Although there is a fast simple way to generate about a half (which ...

Generalized perfect binary arrays (GPBAs) were used by Jedwab to construct perfect binary arrays. A non-trivial GPBA can ...

A way of generating cocyclic Hadamard matrices is described, which combines a new heuristic, coming from a novel notion ...

Hadamard ideals were introduced in 2006 as a set of nonlin-ear polynomial equations whose zeros are uniquely related ...

A genetic algorithm based robust blind digital watermarking scheme is presented. The experimental results show that our ...

In this paper, we give a characterization of quasi-Hadamard groups in terms of propelinear codes. We define a new class ...

A procedure is described looking for partial Hadamard matrices, as cliques of a particular subgraph Gt of Ito’s Hadamard ...

Progressing on a survey of the state of the art of cocyclic constructions for Hadamard matrices, we will prove that the ...

We introduce the notion of quasi-orthogonal cocycle. This is motivated in part by the maximal determinant problem for ...

In this paper, we describe some necessary and sufficient conditions for a set of coboundaries to yield a cocyclic Hadamard ...

An E–W matrix M is a ( − 1, 1)-matrix of order urn:x-wiley:10638539:media:jcd21519:jcd21519-math-0001, where t is a positive ...

An n by n skew-symmetric type (−1, 1)-matrix K = [ki,j ] has 1’s on the main diagonal and ±1’s elsewhere with ki,j = −kj,i. ...

Provided that a cohomological model for G is known, we describe a method for constructing a basis for n-cocycles over G, ...

Skew Hadamard matrices of order n give the solution to the question of finding the largest possible n by n determinant ...

It is well-known that the evaluation of the permanent of an arbitrary (−1, 1)- matrix is a formidable problem. Ryser’s ...

Previously, self-dual codes have been constructed from weighing matrices, and in particular from conference matrices (skew ...

Software Project Estimation is one of the most critical and complex task for a Project manager. Several techniques, tools ...

A method for embedding cocyclic submatrices with “large” determinants of orders 2t in certain cocyclic Hadamard matrices ...

Let G be a semidirect product of finitely generated Abelian groups. We provide a method for constructing an explicit ...

Cocyclic construction has been successfully used for Hadamard matrices of order n. These -matrices satisfy that and give ...

Given two Hadamard matrices of the same order, it can be quite difficult to decide whether or not they are equivalent. ...

Three algorithms looking for pretty large partial Hadamard ma- trices are described. Here “large” means that hopefully ...

An Ant Colony System (ACS) looking for cocyclic Hadamard matrices over dihedral groups D4t is described. The underlying ...

For a simplicial augmented algebra K, Eilenberg–Mac Lane constructed a chain map . They proved that g is a reduction ...

An alternate method for constructing (Hadamard) cocyclic matrices over a finite group GG is described. Provided that a ...

A new reduction on the size of the search space for cocyclic Hadamard matrices over dihedral groups D4t is described, in ...

Given a basis equation image for 2-cocycles equation image over a group G of order equation image, we describe a nonlinear ...

Levenshtein described in [5] a method for constructing error correcting codes which meet the Plotkin bounds, provided ...

Let G, G′, and G ×τ G′ be three simplicial groups (not necessarily abelian) and C N (G) ⊗ t C N (G′) be the “twisted” ...

Let G be a group which admits the structure of an iterated product of central extensions and semidirect products of abelian ...

We describe a notebook in Mathematica which, taking as input data a homological model for a finite group G of order |G| = ...

A genetic algorithm for finding cocyclic Hadamard matrices is described. Though we focus on the case of dihedral groups, ...

Let Λ be a commutative ring, A an augmented differential graded algebra over Λ (briefly, DGA-algebra) and X be a relatively ...

This review tackles the problem of the high computational complexity lying in most algorithms in algebraic topology and ...

En este art´ıculo, se pretende dar una visi´on general y lo m´as divulgativa posible sobre los prop´ositos y objetivos del ...

An algorithm for calculating a set ofgenerators ofrepresentative 2-cocycles on semidirect product offinite abelian groups ...

We use homological perturbation machinery specific for the algebra category [13] to give an algorithm for computing the ...

In this paper, working over Z(p) and using algebra perturbation results from [18], p-minimal homological models of twisted ...

We design here a primary platform for computing the basic homological information of Commutative Differential Graded ...

Como es bien conocido, los principales mecanismos algebraicos para obtener información homológica de los espacios fibrados ...

Working in the framework of the Simplicial Topology, a method for calculating the p-local homology of a twisted cartesian ...

We establish an algorithm computing the homology of commutative differential graded algebras (briefly, CDGAs). The main ...