Article ID Journal Published Year Pages File Type
5776920 Discrete Mathematics 2017 8 Pages PDF
Abstract
We construct several classes of completely regular codes with different parameters, but identical intersection array. Given a prime power q and any two natural numbers a,b, we construct completely transitive codes over different fields with covering radius ρ=min{a,b} and identical intersection array, specifically, one code over Fqr for each divisor r of a or b. As a corollary, for any prime power q, we show that distance regular bilinear forms graphs can be obtained as coset graphs from several completely regular codes with different parameters.
Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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