New soft set based class of linear algebraic codes

Ali, Mumtaz, Khan, Huma, Son, Le Hoang, Smarandache, Florentin and Kandasamy, W. B. Vasantha 2018, New soft set based class of linear algebraic codes, Symmetry, vol. 10, no. 10, doi: 10.3390/sym10100510.

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Title New soft set based class of linear algebraic codes
Author(s) Ali, MumtazORCID iD for Ali, Mumtaz
Khan, Huma
Son, Le Hoang
Smarandache, Florentin
Kandasamy, W. B. Vasantha
Journal name Symmetry
Volume number 10
Issue number 10
Article ID 510
Total pages 10
Publisher MDPI Publishing
Place of publication Basel, Switzerland
Publication date 2018-10-16
ISSN 2073-8994
Keyword(s) Science & Technology
Multidisciplinary Sciences
Science & Technology - Other Topics
linear algebraic code
soft set theory
soft linear algebraic code
soft communication
soft syndrome
soft codewords
soft generator matrix
Summary © 2018 by the authors. 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.
Language eng
DOI 10.3390/sym10100510
Indigenous content off
HERDC Research category C1.1 Refereed article in a scholarly journal
Copyright notice ©2018, The Authors
Free to Read? Yes
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Document type: Journal Article
Collection: Faculty of Science, Engineering and Built Environment
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