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The genetic code Boolean lattice. (English) Zbl 1079.92053

A new \(n\)-dimensional vector space of DNA sequences on the Galois field of 64-codons is proposed. In this vector space gene mutations can be considered as linear transformations. Various applications of this mathematical model pertaining to the genetic code are demonstrated.

MSC:

92D20 Protein sequences, DNA sequences
06E99 Boolean algebras (Boolean rings)
11R99 Algebraic number theory: global fields
92D99 Genetics and population dynamics