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
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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