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Self-dual codes in the Rosenbloom-Tsfasman metric

Venkatrajam Marka ; Department of Mathematics, National Institute of Technology Warangal, Warangal, India
R. S. Selvaraj ; Department of Mathematics, National Institute of Technology Warangal, Warangal, India
Irrinki Gnanasudha ; Department of Mathematics, National Institute of Technology Warangal, Warangal, India

Puni tekst: engleski, pdf (175 KB) str. 75-87 preuzimanja: 311* citiraj
APA 6th Edition
Marka, V., Selvaraj, R.S. i Gnanasudha, I. (2017). Self-dual codes in the Rosenbloom-Tsfasman metric. Mathematical Communications, 22 (1), 75-87. Preuzeto s https://hrcak.srce.hr/176721
MLA 8th Edition
Marka, Venkatrajam, et al. "Self-dual codes in the Rosenbloom-Tsfasman metric." Mathematical Communications, vol. 22, br. 1, 2017, str. 75-87. https://hrcak.srce.hr/176721. Citirano 31.07.2021.
Chicago 17th Edition
Marka, Venkatrajam, R. S. Selvaraj i Irrinki Gnanasudha. "Self-dual codes in the Rosenbloom-Tsfasman metric." Mathematical Communications 22, br. 1 (2017): 75-87. https://hrcak.srce.hr/176721
Harvard
Marka, V., Selvaraj, R.S., i Gnanasudha, I. (2017). 'Self-dual codes in the Rosenbloom-Tsfasman metric', Mathematical Communications, 22(1), str. 75-87. Preuzeto s: https://hrcak.srce.hr/176721 (Datum pristupa: 31.07.2021.)
Vancouver
Marka V, Selvaraj RS, Gnanasudha I. Self-dual codes in the Rosenbloom-Tsfasman metric. Mathematical Communications [Internet]. 2017 [pristupljeno 31.07.2021.];22(1):75-87. Dostupno na: https://hrcak.srce.hr/176721
IEEE
V. Marka, R.S. Selvaraj i I. Gnanasudha, "Self-dual codes in the Rosenbloom-Tsfasman metric", Mathematical Communications, vol.22, br. 1, str. 75-87, 2017. [Online]. Dostupno na: https://hrcak.srce.hr/176721. [Citirano: 31.07.2021.]

Sažetak
This paper deals with the study and construction of self-dual codes equipped with the Rosenbloom-Tsfasman metric (RT-metric, in short). An [s, k] linear code in the RT-metric over Fq has codewords with k different non-zero weights. Using the generator matrix in standard form of a code in the RT-metric, the standard information set for the
code is defined. Given the standard information set for a code, that for its dual is obtained.
Moreover, using the basic parameters of a linear code, the covering radius and the minimum distance of its dual are also obtained. Eventually, necessary and sufficient conditions for a code to be self-dual are established. In addition, some methods for constructing self dual codes are proposed and illustrated with examples.

Ključne riječi
linear code; self-dual code; standard information set; covering radius; RTmetric

Hrčak ID: 176721

URI
https://hrcak.srce.hr/176721

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