References
- N. Aydin and D.K. Ray-Chaudhuri, Quasi-Cyclic Codes over Z4 and Some New Binary Codes, IEEE Trans. Inform. Theory 48 (2002), pp. 2065–2069. doi: 10.1109/TIT.2002.1013145
- M. Bhaintwal and S.K. Wasan, On quasi-cyclic codes over Zq, Appl. Algebra Eng. Commun. Comput. 20 (2009), pp. 459–480. doi: 10.1007/s00200-009-0110-8
- W. Bosma, J. Cannon, and C. Playoust, The Magma algebra system, I. The user language. J. Symb. Comput. 24 (1997), pp. 235–265. doi: 10.1006/jsco.1996.0125
- Y. Cao and J. Gao, Constructing quasi-cyclic codes from linear algebra theory, Des. Codes Cryptogr. 67 (2013), pp. 59–75. doi: 10.1007/s10623-011-9586-x
- Y. Cao, 1-generator quasi-cyclic codes over finite chain rings, Appl. Algebra Eng. Commun. Comput. 24 (2013), pp. 53–72. doi: 10.1007/s00200-012-0182-8
- J. Conan and G. Séguin, Structural properties and enumeration of quasi cyclic codes, Appl. Algebra Eng. Commun. Comput. 4 (1993), pp. 25–39. doi: 10.1007/BF01270398
- J. Cui and J. Pei, Quaternary 1-generator quasi-cyclic codes, Des. Codes Cryptogr. 58(1) (2011), pp. 23–33. doi: 10.1007/s10623-010-9381-0
- H.Q. Dinh and S.R. Lopez-Permouth, Cyclic and negacyclic codes over finite chain rings, IEEE Trans. Inform. Theory 50 (2004), pp. 1728–1743. doi: 10.1109/TIT.2004.831789
- J. Gao and Q. Kong, 1-generator quasi-cyclic codes over Fpm+uFpm+⋯+us−1Fpm, J. Frank. Inst. 350(10) (2013), pp. 3260–3276. doi: 10.1016/j.jfranklin.2013.08.001
- A.R Hammons, P.V. Kumar, A.R. Calderbank, N.J.A. Sloane, and P. Sole, The Z4-linearity of Kerdock, Preparata, Goethals, and related codes, IEEE Trans. Inform. Theory 40 (1994), pp. 301–319. doi: 10.1109/18.312154
- S. Ling and P. Sole, On the algebra structure of quasi-cyclic codes II: chain rings, Des. Codes Cryptogr. 30 (2003), pp. 113–130. doi: 10.1023/A:1024715527805
- B. MacDonald, Finite Rings with Identity, Dekker, New York, 1974.
- G. Norton and A. Sâlâgean, On the stucture of linear and cyclic codes over a finite chain ring, Appl. Algebra Eng. Commun. Comput. 6 (2000), pp. 489–506. doi: 10.1007/PL00012382
- G.E. Seguin, A Class of 1-Generator Quasi-Cyclic Codes, IEEE Trans. Inform. Theory 50 (2004), pp. 1745–1753. doi: 10.1109/TIT.2004.831861
- I. Siap, T. Abualrub, and B. Yildiz, One generator quasi-cyclic codes over F2+uF2, J. Frank. Inst. 349 (2012), pp. 284–292. doi: 10.1016/j.jfranklin.2011.10.020
- Z.–X. Wan, Cyclic codes over Galois rings, Algebra Colloq. 6(3) (1999), pp. 291–304.