Publication Type : Conference Paper
Publisher : 13th Annual Conference Graph Theory Day – XIII
Source : 13th Annual Conference & Graph Theory Day – XIII (2017)
Keywords : codes over finite rings, Hamming codes, Zq-linear code, Zq-Simplex codes
Campus : Coimbatore
School : School of Engineering
Department : Mathematics
Year : 2017
Abstract : In this paper, we have defined ℤq-linear code and constructed some new codes. In particular, we have introduced the concept of ℤq-Simplex codes and proved that it is a -linear code for any integer q ≥ 2 and k ≥ 3 where p is the least order element in ℤq. We have given the weight distribution of ℤq-Simplex codes of dimension 2 when q is a prime power and when q is a product of distinct primes.
Cite this Research Publication : J. Mahalakshmi and Durairajan, C., “Z_q - Simplex Codes and its Weight Distributions”, in 13th Annual Conference & Graph Theory Day – XIII, 2017.