Finite Projective Geometries and Classification of the Weight Hierarchies of Codes (I)

Autor:	Torleiv Kløve, Wen De Chen
Rok vydání:	2004
Předmět:	Discrete mathematics Collineation Blocking set Applied Mathematics General Mathematics Complex projective space Finite geometry Projective space Projective linear group Fano plane Projective plane Mathematics
Zdroj:	Acta Mathematica Sinica, English Series. 20:333-348
ISSN:	1439-7617 1439-8516
DOI:	10.1007/s10114-004-0337-z
Popis:	The weight hierarchy of a binary linear [n, k] code C is the sequence (d 1, d 2, . . . , d k ), where d r is the smallest support of an r-dimensional subcode of C. The codes of dimension 4 are collected in classes and the possible weight hierarchies in each class is determined by finite projective geometries. The possible weight hierarchies in class A, B, C, D are determined in Part (I). The possible weight hierarchies in class E, F, G, H, I are determined in Part (II).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3db10a42854a225cc88890ffb4006965 https://doi.org/10.1007/s10114-004-0337-z Zobrazit plný text záznamu Plný text ve formátu PDF