Isometries of the Hamming Space and Equivalence Relations of Linear Codes Over a Finite Field

Isometries of the Hamming Space and Equivalence Relations of Linear Codes Over a Finite Field

Detection and error capabilities are preserved when applying to a linear code an isomorphism which preserves Hamming distance. We study here two such isomorphisms: permutation isometries and monomial isometries.

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Bibliographische Detailangaben
Hauptverfasser: García-Planas, M. Isabel, Magret, M. Dolors
Format: Buchkapitel
Sprache:eng
Schlagworte:
Codificació, Teoria de la
Cyclic Subspace
Differential equations
Hamming Space
Infinite series
Isometry Classes
Linear Code
Matemàtiques i estadística
Mathematical modelling
Monomial Matrix
Àrees temàtiques de la UPC
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Beschreibung
Zusammenfassung:Detection and error capabilities are preserved when applying to a linear code an isomorphism which preserves Hamming distance. We study here two such isomorphisms: permutation isometries and monomial isometries.
ISSN:2199-3041
2199-305X
DOI:10.1007/978-3-319-32013-7_12