F3R-skew cyclic codes. (2016)

• Record Type: Journal Article
• Authors: Sharma, Amit; Bhaintwal, Maheshanand
• Is Part Of: International journal of information and coding theory. Volume 3:Number 3(2016)
• Page Start: 234
• Page End: 251
• Publication Date: 2016
• Subjects: F3R-skew cyclic codes -- Gray map -- non-commutative rings -- skew cyclic codes -- generator polynomials; Coding theory -- Periodicals; Information theory -- Periodicals; 003.54
• Languages: English
• ISSNs: 1753-7703

Abstract

In this paper, a new class of skew-cyclic codes, termed as F3 R-skew cyclic codes, is defined, where R denotes the ring F3 + uF3, u 2 = u. These codes are of length α + β and are submodules of the R-module F3 α R β . We study some structural properties of skew cyclic codes over R and F3 R-skew cyclic codes. The generator polynomials of these codes are studied. Some examples are given to illustrate the results. An optimal ternary code is obtained as the Gray image of an F3 R-skew cyclic code.