On cyclic codes of length 8p s over Fpm + uFpm
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CitationRani, S. (2019). On cyclic codes of length 8ps over Fpm + uFpm. International Conference of Mathematical Sciences (ICMS 2019). s. 210.
Prange and Berlekamp [1, 2] first introduced and studied cyclic codes and constacyclic codes respectively. In the theory of error-correcting codes, these codes have nice algebraic structures and can be easily encoded and decoded using linear shift registers, which explains their preferred role from the engineering perspective. Many researchers studied the algebraic structure of linear codes over various finite rings. In this paper, we establish the algebraic structure of all cyclic codes and their duals of length 8p s over the chain ring Fpm +uFpm by considering three cases: p m ≡ 1 (mod 8), pm ≡ 5 (mod 8) and p m ≡ 3 (mod 4). We also find out the number of codewords in each of these cyclic codes. Besides this, we list some self-dual cyclic codes of length 8p s over Fpm + uFpm. Also we determine µ-constacyclic codes length 8p s over Fpm + uFpm by establishing a one to-one correspondence between cyclic and µ -constacyclic codes.
SourceInternational Conference of Mathematical Sciences (ICMS 2019)
- Makale Koleksiyonu 
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