Bounds on the weight hierarchies of a kind of linear codes satisfying non-chain condition

Zihui Liu; Wende Chen

Bounds on the weight hierarchies of a kind of linear codes satisfying non-chain condition

Zihui Liu^*
, Wende Chen

^*Corresponding author for this work

Peking University
CAS - Academy of Mathematics and System Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

The upper bound of weight hierarchies of codes with a divided-chain of arbitrary continuous break points are studied and the codes satisfying the upper-bound are constructed by finite projective geometry, in particular, the geometrical construction is tight for the upper-bound weight hierarchies.

Original language	English
Pages (from-to)	220-224
Number of pages	5
Journal	Chinese Journal of Electronics
Volume	14
Issue number	2
Publication status	Published - Apr 2005
Externally published	Yes

Keywords

Break points
Chain condition
Difference sequence (DS)
Divided-chain condition
Generalized hamming weight
Length/dimension-profile
Upper-Bound construction
Weight hierarchies

Cite this

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title = "Bounds on the weight hierarchies of a kind of linear codes satisfying non-chain condition",

abstract = "The upper bound of weight hierarchies of codes with a divided-chain of arbitrary continuous break points are studied and the codes satisfying the upper-bound are constructed by finite projective geometry, in particular, the geometrical construction is tight for the upper-bound weight hierarchies.",

keywords = "Break points, Chain condition, Difference sequence (DS), Divided-chain condition, Generalized hamming weight, Length/dimension-profile, Upper-Bound construction, Weight hierarchies",

author = "Zihui Liu and Wende Chen",

year = "2005",

month = apr,

language = "English",

volume = "14",

pages = "220--224",

journal = "Chinese Journal of Electronics",

issn = "1022-4653",

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T1 - Bounds on the weight hierarchies of a kind of linear codes satisfying non-chain condition

AU - Liu, Zihui

AU - Chen, Wende

PY - 2005/4

Y1 - 2005/4

N2 - The upper bound of weight hierarchies of codes with a divided-chain of arbitrary continuous break points are studied and the codes satisfying the upper-bound are constructed by finite projective geometry, in particular, the geometrical construction is tight for the upper-bound weight hierarchies.

AB - The upper bound of weight hierarchies of codes with a divided-chain of arbitrary continuous break points are studied and the codes satisfying the upper-bound are constructed by finite projective geometry, in particular, the geometrical construction is tight for the upper-bound weight hierarchies.

KW - Break points

KW - Chain condition

KW - Difference sequence (DS)

KW - Divided-chain condition

KW - Generalized hamming weight

KW - Length/dimension-profile

KW - Upper-Bound construction

KW - Weight hierarchies

UR - https://www.scopus.com/pages/publications/17444386332

M3 - Article

AN - SCOPUS:17444386332

SN - 1022-4653

VL - 14

SP - 220

EP - 224

JO - Chinese Journal of Electronics

JF - Chinese Journal of Electronics

IS - 2

ER -

Bounds on the weight hierarchies of a kind of linear codes satisfying non-chain condition

Abstract

Keywords

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