On the isometries between Z(pk) and Z pk

Authors:
A. Salagean-Mandache
Affiliations:
Centre for Commun. Res., Bristol Univ.
Venue:
IEEE Transactions on Information Theory
Year:
2006

Citing 0
Cited 4

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Abstract

We prove that, except for the well-known case p=k=2, it is not possible to construct a weight function on Z(pk) for which Z(pk) is isometric to Zp k with the Hamming metric