The automorphism group of a linear space with the Rosenbloom—Tsfasman metric

Authors:
Kwankyu Lee
Affiliations:
Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea
Venue:
European Journal of Combinatorics
Year:
2003

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Abstract

Let Mats×n(Fq) be the linear space of all s × n matrices over the finite field Fq, equipped with the new metric introduced by Rosenbloom and Tsfasman. We determine the full group of weight-preserving linear automorphisms of Mats×n(Fq) with the Rosenbloom-Tsfasman metric.