Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Article
Publication Date
2011
Abstract
Algebraic codes play a signifcant role in the minimisation of data corruption which caused by defects such as inference, noise channel, crosstalk, and packet loss. In this paper, we introduce soft codes (soft linear codes) through the application of soft sets which is an approximated collection of codes. We also discuss several types of soft codes such as type-1 soft codes, complete soft codes etc. Further, we construct the soft generator matrix and soft parity check matrix for the soft linear codes. Moreover, we develop two techniques for the decoding of soft codes.
Publisher
-
Publication Title
-
First Page
1
Last Page
12
Language (ISO)
English
Keywords
Algebraic codes, soft set, soft linear code
Recommended Citation
Smarandache, Florentin and Mumtaz Ali. "A NEW APPROACH TO ALGEBRAIC CODING THEORY THROUGH THE APPLICATIONS OF SOFT SETS." - (2011): 1-12. https://digitalrepository.unm.edu/math_fsp/368
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Included in
Computer and Systems Architecture Commons, Computer Sciences Commons, Logic and Foundations Commons, Other Computer Engineering Commons, Other Mathematics Commons, Set Theory Commons
