On codes having no finite completion

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Abstract

For each natural number n≥5 we propose a class of finitely incompletable codes that contain an on a binary alphabet {a,b}. The construction is essentially based on unambiguous pairs unembeddable to a factorization of Zn.

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Lam, N. H. (1994). On codes having no finite completion. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 775 LNCS, pp. 691–698). Springer Verlag. https://doi.org/10.1007/3-540-57785-8_182

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