New soft set based class of linear algebraic codes

Ali, Mumtaz and Khan, Huma and Son, Le Hoang and Smarandache, Florentin and Kandasamy, W. B. Vasantha (2018) New soft set based class of linear algebraic codes. Symmetry, 10 (10 - Article 510).

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Abstract

In this paper, we design and develop a new class of linear algebraic codes defined as soft linear algebraic codes using soft sets. The advantage of using these codes is that they have the ability to transmit m-distinct messages to m-set of receivers simultaneously. The methods of generating and decoding these new classes of soft linear algebraic codes have been developed. The notion of soft canonical generator matrix, soft canonical parity check matrix, and soft syndrome are defined to aid in construction and decoding of these codes. Error detection and correction of these codes are developed and illustrated by an example.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license http://creativecommons.org/licenses/by/4.0/).
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 07 Feb 2019 05:11
Last Modified: 08 Feb 2019 05:19
Uncontrolled Keywords: linear algebraic code; soft set theory; soft linear algebraic code; soft communication; soft syndrome; soft codewords; soft generator matrix
Fields of Research : 08 Information and Computing Sciences > 0806 Information Systems > 080607 Information Engineering and Theory
01 Mathematical Sciences > 0102 Applied Mathematics > 010299 Applied Mathematics not elsewhere classified
Identification Number or DOI: 10.3390/sym10100510
URI: http://eprints.usq.edu.au/id/eprint/35462

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