Group of Isometries of Niederreiter-Rosenbloom-Tsfasman Block Space
ABSTRACT Let P = 1 , 2 , . . . , n ≤ be a poset that is an union of disjoint chains of the same length and V = F q N be the space of N-tuples over the finite field F q. Let V i = F q k i , with 1 ≤ i ≤ n, be a family of finite-dimensional linear spaces such that k 1 + k 2 + . . . + k n = N and let V = V 1 × V 2 × . . . × V n endow with the poset block metric d P , π induced by the poset P and the partition π = k 1 , k 2 , . . . , k n, encompassing both Niederreiter-Rosenbloom-Tsfasman metric and error-block metric. In this paper, we give a complete description of group of isometries of the metric space V , d P , π, also called the Niederreiter-Rosenbloom-Tsfasman block space. In particular, we reobtain the group of isometries of the Niederreiter-Rosenbloom-Tsfasman space and obtain the group of isometries of the error-block metric space.
| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática Aplicada e Computacional
2020
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| Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512020000200271 |
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