On the F p -Linearity of the Generalized Gray Map Image of a $${Z_{{p^{k+1}}}}$$ -Linear Code

H. Tapia-Recillas () and G. Vega ()
Additional contact information
H. Tapia-Recillas: UAM-I, Dpto. Matemáticas
G. Vega: UNAM, Dirección General de Servicios de Cómputo Académico (DGSCA)

A chapter in Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, 2002, pp 306-312 from Springer

Abstract: Abstract A necessary and sufficient condition for the generalized Gray map image G(D)of a $${Z_{{p^{k+1}}}}$$ -linear code D to be F p -linear is given for any prime p and any integer k ≥1. If p = 2 and the linear code is assumed to be cyclic, a necessary condition for G(D)to be linear is also given in terms of the generators of the ideal of D. Some examples to illustrate the results are given.

Date: 2002
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59435-9_25

Ordering information: This item can be ordered from
http://www.springer.com/9783642594359

DOI: 10.1007/978-3-642-59435-9_25

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().