Special LCD Codes from Peisert and Generalized Peisert Graphs
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DOI: 10.1007/s00373-019-02019-0
Abstract: We examine binary and ternary codes from adjacency matrices of the Peisert graphs, $${\mathcal {P}}^*(q)$$P∗(q), and the generalized Peisert graphs, $$G{\mathcal {P}}^*(q)$$GP∗(q), in particular those instances where the code is LCD and the dual of… read more here.
Keywords: lcd codes; generalized peisert; peisert graphs; special lcd ... See more keywords
The critical groups of the Peisert graphs
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Algebraic Combinatorics"
DOI: 10.1007/s10801-017-0797-8
Abstract: The critical group of a finite graph is an abelian group defined by the Smith normal form of the Laplacian. We determine the critical groups of the Peisert graphs, a certain family of strongly regular… read more here.
Keywords: critical groups; groups peisert; peisert graphs;