Some connections between BCK-algebras and n-ary block codes
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F18%3A00534289" target="_blank" >RIV/60162694:G43__/18:00534289 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/content/pdf/10.1007%2Fs00500-017-2788-z.pdf" target="_blank" >https://link.springer.com/content/pdf/10.1007%2Fs00500-017-2788-z.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-017-2788-z" target="_blank" >10.1007/s00500-017-2788-z</a>
Alternative languages
Result language
angličtina
Original language name
Some connections between BCK-algebras and n-ary block codes
Original language description
In general, when block codes are defined, the used alphabet is not binary. It is used an alphabet with n elements, n ≥ 2, identified usually with the set An = {0, 1, 2, . . . , n-1}. Recently, some papers were devoted to the study of the connections between binary block codes and BCK-algebras. These codes are called n-ary block codes. In this paper, we try to generalize these results to n-ary block codes, providing an algorithm which allows us to construct a BCK-algebra from a given n-ary block code. For this purpose, we will prove that to each n-ary block code V we can associate a BCK-algebra X, such that the n-ary block code generated by X, Vx, contains the code V as a subset and we will find in what circumstances the converse is also true.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Soft Computing A Fusion of Foundations, Methodologies and Applications
ISSN
1432-7643
e-ISSN
1433-7479
Volume of the periodical
22
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
6
Pages from-to
41-46
UT code for WoS article
000419355900004
EID of the result in the Scopus database
2-s2.0-85028335139