Neutrosophic Quadruple Algebraic Codes over Z2 and their Properties
In this paper we for the first time develop, define and describe a new class of algebraic codes using Neutrosophic Quadruples which uses the notion of known value, and three unknown triplets (T, I, F) where T is the truth value, I is the indeterminate and F is the false value. Using this Neutrosop...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
University of New Mexico
2020-05-01
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Series: | Neutrosophic Sets and Systems |
Subjects: | |
Online Access: | http://fs.unm.edu/NSS/NeutrosophicQuadruple.pdf |
Summary: | In this paper we for the first time develop, define and describe a new class of algebraic codes using
Neutrosophic Quadruples which uses the notion of known value, and three unknown triplets (T, I, F) where
T is the truth value, I is the indeterminate and F is the false value. Using this Neutrosophic Quadruples
several researchers have built groups, NQ-semigroups, NQ-vector spaces and NQ-linear algebras. However, so
far NQ algebraic codes have not been developed or defined. These NQ-codes have some peculiar properties
like the number of message symbols are always fixed as 4-tuples, that is why we call them as Neutrosophic
Quadruple codes. Here only the check symbols can vary according to the wishes of the researchers. Further we
find conditions for two NQ-Algebraic codewords to be orthogonal. In this paper we study these NQ codes only
over the field Z2. However, it can be carried out as a matter of routine in case of any field Zp of characteristics
p. |
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ISSN: | 2331-6055 2331-608X |