Even poset and a parity result for binary linear code
type: Item
instance of: scholarly article
title: Even poset and a parity result for binary linear code
zbMATH Open document ID: 1106.05056
author: Yaokun Wu
published in: Linear Algebra and its Applications
publication date: 2006-12-07T00:00:00Z
review text: Let \(C\) be a subspace of the space consisting of all binary vectors of a fixed length. The author proves that the sum of all maximal vectors of \(C\) equals the sum of all minimal vectors of \(C\). The concept of even poset is introduced and a duality result is established.
Mathematics Subject Classification ID: 05C45
Mathematics Subject Classification ID: 06A06
Mathematics Subject Classification ID: 15A03
Mathematics Subject Classification ID: 94A05
zbMATH DE Number: 5077996
zbMATH Keywords: support
zbMATH Keywords: Eulerian graph
zbMATH Keywords: binary matroid
zbMATH Keywords: minimal vector
MaRDI profile type: Publication
full work available at URL: j.laa.2006.02.028
OpenAlex ID: W2138795851
cites work: Minimal vectors in linear codes
cites work: On the non-minimal codewords in binary Reed-Muller codes
cites work: Q4655217
cites work: Q4882977
cites work: Combinatorial optimization. Packing and covering
cites work: Q4530231
cites work: Elementary proofs of (relatively) recent characterizations of Eulerian graphs
cites work: Q3765790
cites work: Counting maximal cycles in binary matroids
cites work: Recharacterizing Eulerian: Intimations of new duality
cites work: Q3378354
cites work: Splitting in a binary matroid
cites work: Determination of the bases of a splitting matroid
cites work: New characterizations of Eulerian and bipartite binary matroids
cites work: A characterization of binary Eulerian matroids
cites work: Linear cellular automata and the garden-of-eden
cites work: Properties of a Euler graph
cites work: Euler and bipartite matroids
cites work: The Euler circuit theorem for binary matroids
cites work: A proof of McKee's Eulerian-bipartite characterization
DOI: 10.1016/J.LAA.2006.02.028
description: scientific article; zbMATH DE number 5077996