QUANTUM ISOMETRY GROUPS OF SYMMETRIC GROUPS
نویسندگان
چکیده
منابع مشابه
Isometry groups of combinatorial codes
Two isometry groups of combinatorial codes are described: the group of automorphisms and the group of monomial automorphisms, which is the group of those automorphisms that extend to monomial maps. Unlike the case of classical linear codes, where these groups are the same, it is shown that for combinatorial codes the groups can be arbitrary different. Particularly, there exist codes with the fu...
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When C ⊆ F is a linear code over a finite field F, every linear Hamming isometry of C to itself is the restriction of a linear Hamming isometry of F to itself, i.e., a monomial transformation. This is no longer the case for additive codes over non-prime fields. Every monomial transformation mapping C to itself is an additive Hamming isometry, but there exist additive Hamming isometries that are...
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ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2012
ISSN: 0129-167X,1793-6519
DOI: 10.1142/s0129167x12500747