Binary linear codes, dimers and hypermatrices

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10369115" target="_blank" >RIV/00216208:11320/17:10369115 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.endm.2017.05.003" target="_blank" >http://dx.doi.org/10.1016/j.endm.2017.05.003</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.endm.2017.05.003" target="_blank" >10.1016/j.endm.2017.05.003</a>

Result language
angličtina
Original language name
Binary linear codes, dimers and hypermatrices
Original language description
We show that the weight enumerator of any binary linear code is equal to the permanent of a 3-dimensional hypermatrix (3-matrix). We also show that each permanent is a determinant of a 3-matrix. As an application we write the dimer partition function of a finite 3-dimensional cubic lattice as the determinant of the vertex-adjacency 3-matrix of a 2-dimensional simplicial complex which preserves the natural embedding of the cubic lattice.
Czech name
—
Czech description
—

Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
—
OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project
<a href="/en/project/GA13-21988S" target="_blank" >GA13-21988S: Enumeration in informatics and optimization</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)