Structure of codes over the ring $$Z_{3}[v]/\langle v^{3}-v\rangle $$ Z 3 [ v ] / 〈 v 3 − v 〉

Author:

Bayram Aysegul,Siap Irfan

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory

Reference14 articles.

1. Abualrub, T., Siap, I.: On the construction of cyclic codes over the ring $$Z_{2} + uZ_{2}$$ Z 2 + uZ 2 . WSEAS Trans. Math. 5(6), 750–756 (2006)

2. Abulraub, T., Siap, I.: Cyclic codes over the rings $$Z_{2}+uZ_{2}$$ Z 2 + uZ 2 and $$Z_{2}+uZ_{2}+u^{2}Z_{2}$$ Z 2 + uZ 2 + u 2 Z 2 . Des. Codes Cryptogr. 42(3), 273–287 (2007)

3. Al-Ashker, M., Hamoudeh, M.: Cyclic codes over $$Z_{2}+uZ_{2}+u^{2}Z_{2}+\cdots +u^{k-1}Z_{2}$$ Z 2 + uZ 2 + u 2 Z 2 + ⋯ + u k − 1 Z 2 . Turk. J. Math. 35, 737–749 (2011)

4. Betsumiya, K., Harada, M.: Optimal self-dual codes over $$F_{2}\times F_{2}$$ F 2 × F 2 , with respect to the Hamming weight. IEEE Trans. Inf. Theory 50(2), 356–358 (2004)

5. Bonnecaze, A., Udaya, P.: Cyclic codes and self-dual codes over $$F_{2}+uF_{2}$$ F 2 + uF 2 . IEEE Trans. Inf. Theory 45(4), 1250–1255 (1999)

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