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ABOUT CODE EQUIVALENCE — A GEOMETRIC APPROACH

, 2022
The equivalence test is a main part in any classification problem. It helps to prove bounds for the main parameters of the considered combinatorial structures and to study their properties. In this paper, we present algorithms for equivalence of linear codes, based on their relation to multisets of points in a projective geometry.
Iliya Bouyukliev, Stefka Bouyuklieva
exaly   +3 more sources

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On the Geometric Equivalence and Non-Equivalence of Symmetric Factorial Designs

Journal of Statistical Theory and Practice, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
T I Katsaounis, A M Dean
exaly   +2 more sources

Geometric equivalence of groups

Proceedings of the Steklov Institute of Mathematics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bludov, V. V., Gusev, B. V.
openaire   +1 more source

A combinatorial geometric Satake equivalence

Advances in Mathematics, 2016
The geometric Satake correspondence provides an equivalence of categories between the Satake category of spherical perverse sheaves on the affine Grassmannian and the category of representations of the dual group. In this note, we define a combinatorial version of the Satake category using irreducible components of fibres of the convolution morphism ...
Joel Kamnitzer
exaly   +4 more sources

Geometric equivalence, geometric similarity, and geometric compatibility of algebras

Journal of Mathematical Sciences, 2007
Most attention is focused on conditions laid on the algebras from a given variety, which provide the coincidence of their algebraic geometries. The notions mentioned in the title of the paper play a leading part. Bibliography: 26 titles.
B I Plotkin
exaly   +2 more sources

A geometric version of the Morita equivalence

Journal of Algebra, 1991
For a finite dimensional algebra \(A\) over an algebraically closed field \(K\), the schemes \(\text{Mod}^ d_ A\) of \(A\)-modules with \(K\)-dimension \(d\) are considered. The author shows that these \(K\)-schemes, together with their natural \(Gl_ d\)-action, determine the isomorphism class of \(A\). On the other hand, the close relationship between
Klaus Bongartz
exaly   +2 more sources

A geometric characterization of “optimality-equivalent” relaxations

Journal of Global Optimization, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Walid Ben-Ameur, José Neto
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GEOMETRIC EQUIVALENCE OF ALGEBRAS

International Journal of Algebra and Computation, 2001
In this paper, we study the geometric equivalence of algebras in several varieties of algebras. We solve some of the problems formulated in [2], in particular, that of geometric equivalence for real-closed fields and finitely generated commutative groups.
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Geometrical equivalence of groups

Communications in Algebra, 1999
The notion of geometrical equivalence of two algebras, which is basic for this paper, is introduced in [5], [6]. It is motivated in the framework of universal algebraic geometry, in which algebraic varieties are considered in arbitrary varieties of algebras.
B. Plotkin, E. Plotkin, A. Tsurkov
openaire   +1 more source

Geometric and conditional geometric equivalences of algebras

Algebra and Logic, 2013
Two universal algebras are said to be geometrically equivalent (conditionally geometrically equivalent) if pairs of different systems of termal equations (of quantifier-free elementary formulas) defining common algebraic sets (definable subsets) are properly the same.
openaire   +2 more sources