Acknowledgement
Supported by : Chaing Mai University
References
-
M. M. Al-Ashker, Simplex codes over the ring
$F_2$ +$uF_2$ , Arab. J. Sci. Eng. Sect. A Sci. 30 (2005), no. 2, 277-285. -
A. Bonnecaze and P. Udaya, Cyclic codes and self-dual codes over
$F_2$ +$uF_2$ , IEEE Trans. Inform. Theory 45 (1999), no. 4, 1250-1255. https://doi.org/10.1109/18.761278 - D. Boucher, W. Geiselmann, and F. Ulmer, Skew-cyclic codes, Appl. Algebra Engrg. Comm. Comput. 18 (2007), no. 4, 379-389. https://doi.org/10.1007/s00200-007-0043-z
- D. Boucher, P. Sole, and F. Ulmer, Skew constacyclic codes over Galois rings, Adv. Math. Commun. 2 (2008), no. 3, 273-292. https://doi.org/10.3934/amc.2008.2.273
- D. Boucher and F. Ulmer, Coding with skew polynomial rings, J. Symbolic Comput. 44 (2009), no. 12, 1644-1656. https://doi.org/10.1016/j.jsc.2007.11.008
- D. Boucher and F. Ulmer, A note on the dual codes of module skew codes, in Cryptography and coding, 230-243, Lecture Notes in Comput. Sci., 7089, Springer, Heidelberg, 2011.
- D. Boucher and F. Ulmer, Self-dual skew codes and factorization of skew polynomials, J. Symbolic Comput. 60 (2014), 47-61. https://doi.org/10.1016/j.jsc.2013.10.003
-
H. Q. Dinh, On repeated-root constacyclic codes of length
$4p^s$ , Asian-Eur. J. Math. 6 (2013), no. 2, 1350020, 25 pp. https://doi.org/10.1142/S1793557113500204 - H. Q. Dinh, B. T. Nguyen, and S. Sriboonchitta, Skew constacyclic codes over finite fields and finite chain rings, Math. Probl. Eng. 2016 (2016), Art. ID 3965789, 17 pp.
- H. Q. Dinh, B. T. Nguyen, and S. Sriboonchitta, Constacyclic codes over finite commutative semi-simple rings, Finite Fields Appl. 45 (2017), 1-18. https://doi.org/10.1016/j.ffa.2016.11.008
-
J. Gao, Skew cyclic codes over
$F_p$ +$vF_p$ , J. Appl. Math. Inform. 31 (2013), no. 3-4, 337-342. https://doi.org/10.14317/jami.2013.337 - J. Gao, L. Shen, and F.-W. Fu, A Chinese remainder theorem approach to skew generalized quasi-cyclic codes over finite fields, Cryptogr. Commun. 8 (2016), no. 1, 51-66. https://doi.org/10.1007/s12095-015-0140-y
-
F. Gursoy, I. Siap, and B. Yildiz, Construction of skew cyclic codes over
${\mathbb{F}}_q$ +$v{\mathbb{F}}_q$ , Adv. Math. Commun. 8 (2014), no. 3, 313-322. https://doi.org/10.3934/amc.2014.8.313 - S. Jitman, S. Ling, and P. Udomkavanich, Skew constacyclic codes over finite chain rings, Adv. Math. Commun. 6 (2012), no. 1, 39-63. https://doi.org/10.3934/amc.2012.6.39
- J. L. Massey, Linear codes with complementary duals, Discrete Math. 106/107 (1992), 337-342. https://doi.org/10.1016/0012-365X(92)90563-U
- I. Siap, T. Abualrub, N. Aydin, and P. Seneviratne, Skew cyclic codes of arbitrary length, Int. J. Inf. Coding Theory 2 (2011), no. 1, 10-20. https://doi.org/10.1504/IJICOT.2011.044674
-
P. Udaya and A. Bonnecaze, Decoding of cyclic codes over
$F_2$ +$uF_2$ , IEEE Trans. Inform. Theory 45 (1999), no. 6, 2148-2157. https://doi.org/10.1109/18.782165