The t-wise intersection and trellis of relative four-weight codes

B. Rega; Z. H. Liu; C. Durairajan

doi:10.1007/s12095-020-00456-w

The t-wise intersection and trellis of relative four-weight codes

B. Rega^*, Z. H. Liu, C. Durairajan

^*Corresponding author for this work

School of Mathematics and Statistics

Bharathidasan University

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

1 Citation (Scopus)

Abstract

Based on the applications of codes with few weights, we define the so-called relative four-weight codes and present a method for constructing such codes by using the finite projective geometry method. Also, the t-wise intersection and the trellis of relative four-weight codes are determined.

Original language	English
Pages (from-to)	197-223
Number of pages	27
Journal	Cryptography and Communications
Volume	13
Issue number	2
DOIs	https://doi.org/10.1007/s12095-020-00456-w
Publication status	Published - Mar 2021

Keywords

Projective space
Relative four-weight code
Support
Trellis
t-wise intersecting

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10.1007/s12095-020-00456-w

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title = "The t-wise intersection and trellis of relative four-weight codes",

abstract = "Based on the applications of codes with few weights, we define the so-called relative four-weight codes and present a method for constructing such codes by using the finite projective geometry method. Also, the t-wise intersection and the trellis of relative four-weight codes are determined.",

keywords = "Projective space, Relative four-weight code, Support, Trellis, t-wise intersecting",

author = "B. Rega and Liu, {Z. H.} and C. Durairajan",

note = "Publisher Copyright: {\textcopyright} 2020, Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2021",

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doi = "10.1007/s12095-020-00456-w",

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T1 - The t-wise intersection and trellis of relative four-weight codes

AU - Rega, B.

AU - Liu, Z. H.

AU - Durairajan, C.

PY - 2021/3

Y1 - 2021/3

N2 - Based on the applications of codes with few weights, we define the so-called relative four-weight codes and present a method for constructing such codes by using the finite projective geometry method. Also, the t-wise intersection and the trellis of relative four-weight codes are determined.

AB - Based on the applications of codes with few weights, we define the so-called relative four-weight codes and present a method for constructing such codes by using the finite projective geometry method. Also, the t-wise intersection and the trellis of relative four-weight codes are determined.

KW - Projective space

KW - Relative four-weight code

KW - Support

KW - Trellis

KW - t-wise intersecting

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DO - 10.1007/s12095-020-00456-w

M3 - Article

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SP - 197

EP - 223

JO - Cryptography and Communications

JF - Cryptography and Communications

IS - 2

ER -

The t-wise intersection and trellis of relative four-weight codes

Abstract

Keywords

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