On metric rigidity for some classes of codes

On metric rigidity for some classes of codes A code C in the n-dimensional metric space $$ \mathbb{F}_q^n $$ over the Galois field GF(q) is said to be metrically rigid if any isometry I: C → $$ \mathbb{F}_q^n $$ can be extended to an isometry (automorphism) of $$ \mathbb{F}_q^n $$ . We prove metric rigidity for some classes of codes, including certain classes of equidistant codes and codes corresponding to one class of affine resolvable designs. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

On metric rigidity for some classes of codes

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Publisher
SP MAIK Nauka/Interperiodica
Copyright
Copyright © 2011 by Pleiades Publishing, Ltd.
Subject
Engineering; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control; Communications Engineering, Networks
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1134/S0032946011010029
Publisher site
See Article on Publisher Site

Abstract

A code C in the n-dimensional metric space $$ \mathbb{F}_q^n $$ over the Galois field GF(q) is said to be metrically rigid if any isometry I: C → $$ \mathbb{F}_q^n $$ can be extended to an isometry (automorphism) of $$ \mathbb{F}_q^n $$ . We prove metric rigidity for some classes of codes, including certain classes of equidistant codes and codes corresponding to one class of affine resolvable designs.

Journal

Problems of Information TransmissionSpringer Journals

Published: Apr 19, 2011

References

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