Research article

Codewords generated by UP-valued functions

  • Received: 17 November 2020 Accepted: 22 February 2021 Published: 25 February 2021
  • MSC : 06F35, 03G25, 94B05

  • The concept of a UP-valued function on a nonempty set was introduced by Ansari et al. [3]. Codewords in a binary block-code generated by a UP-valued function are established and some interesting results are obtained. Finally, we prove that every finite UP-algebra $ A $ which has the order less than or equal to the order of a finite set $ X $ determines a binary block-code $ V $ such that $ (A, \leq) $ is isomorphic to $ (V, \preceq) $.

    Citation: Ronnason Chinram, Aiyared Iampan. Codewords generated by UP-valued functions[J]. AIMS Mathematics, 2021, 6(5): 4771-4785. doi: 10.3934/math.2021280

    Related Papers:

  • The concept of a UP-valued function on a nonempty set was introduced by Ansari et al. [3]. Codewords in a binary block-code generated by a UP-valued function are established and some interesting results are obtained. Finally, we prove that every finite UP-algebra $ A $ which has the order less than or equal to the order of a finite set $ X $ determines a binary block-code $ V $ such that $ (A, \leq) $ is isomorphic to $ (V, \preceq) $.



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