Characteristic vector and weight distribution of a linear code

An algorithm for computing the weight distribution of a linear [ n , k ] code over a finite field F q is developed. The codes are represented by their characteristic vector with respect to a given generator matrix and a generator matrix of the k -dimensional simplex code S q , k .

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Bibliographische Detailangaben
Veröffentlicht in:	Cryptography and communications 2021-03, Vol.13 (2), p.263-282
Hauptverfasser:	Bouyukliev, Iliya, Bouyuklieva, Stefka, Maruta, Tatsuya, Piperkov, Paskal
Format:	Artikel
Sprache:	eng
Schlagworte:	Circuits Coding and Information Theory Communications Engineering Computer Science Data Structures and Information Theory Information and Communication Mathematics of Computing Networks Original Research
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	An algorithm for computing the weight distribution of a linear [ n , k ] code over a finite field F q is developed. The codes are represented by their characteristic vector with respect to a given generator matrix and a generator matrix of the k -dimensional simplex code S q , k .
ISSN:	1936-2447 1936-2455
DOI:	10.1007/s12095-020-00458-8