In this work, we have investigated the one generator cyclic DNA codes with reverse and reverse complement constraints over the ring R = ℤ4 +uℤ4 +u2 ℤ4 with u3 = 0. Skew cyclic codes with reverse complement constraint are constructed over R. We have also determined a one-to-one correspondence between the elements of the ring R and DNA codons satisfying the Watson-Crick complement. Finally, we have established some examples which satisfy the given constraints.
Cyclic dna codes over the ring z4 + uz4 + u2 z4 / Gowdhaman, K.; Gupta, S.; Mohan, C.; Guenda, K.; Chinnapillai, D.. - In: JOURNAL OF ALGEBRA COMBINATORICS DISCRETE STRUCTURES AND APPLICATIONS. - ISSN 2148-838X. - 8:3(2021), pp. 219-231. [10.13069/jacodesmath.1000959]
Cyclic dna codes over the ring z4 + uz4 + u2 z4
Gupta S.;
2021
Abstract
In this work, we have investigated the one generator cyclic DNA codes with reverse and reverse complement constraints over the ring R = ℤ4 +uℤ4 +u2 ℤ4 with u3 = 0. Skew cyclic codes with reverse complement constraint are constructed over R. We have also determined a one-to-one correspondence between the elements of the ring R and DNA codons satisfying the Watson-Crick complement. Finally, we have established some examples which satisfy the given constraints.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
