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Hall sets, Lazard sets and comma-free codes

Abstract : We investigate the relationship between two constructions of maximal comma-free codes described, respectively, by Eastman and by Scholtz and the notions of Hall sets and Lazard sets introduced in connection with factorizations of free monoids and bases of free Lie algebras.
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Submitted on : Thursday, May 31, 2018 - 4:58:52 PM
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Dominique Perrin, Christophe Reutenauer. Hall sets, Lazard sets and comma-free codes. Discrete Mathematics, Elsevier, 2018, 341 (1), pp.232-243. ⟨10.1016/j.disc.2017.08.034⟩. ⟨hal-01804538⟩

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