Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4

[1] Y. Cao, Yonglin Cao, Negacyclic codes over the local ring 𝕑₄[v]/ 〈v² + 2v〉 of oddly even length and their Gray images, Finite Fields Appl. 52 (2018) 67-93.10.1016/j.ffa.2018.03.005Search in Google Scholar

[2] C. A. Castillo-Guillén, C. Rentería-Márquez, H. Tapia-Recillas, Consta-cyclic Codes over Finite local Frobenius Non-Chain Rings with nilpotency index 3, Finite Fields Appl. 43 (2017) 1-21.10.1016/j.ffa.2016.08.004Search in Google Scholar

[3] C. A. Castillo-Guillén, C. Rentería-Márquez, H. Tapia-Recillas, Duals of constacyclic codes over finite local Frobenius non-chain rings of length 4, Discrete Math. 341 (2018) 919-933.10.1016/j.disc.2017.12.014Search in Google Scholar

[4] H. Q. Dinh, S. R. López-Permouth, Cyclic and Negacyclic Codes Over Finite Chain Rings, IEEE Trans. Inf. Theory 50 (2004) 1728-1744.10.1109/TIT.2004.831789Search in Google Scholar

[5] H. Q. Dinh, A. K. Singh, P. Kumar, S. Sriboonchitta, On the structure of cyclic codes over the ring 𝕑₂s [u]/ 〈 u^k〉, Discrete Math. 341 (2018) 2243-2275.10.1016/j.disc.2018.04.028Search in Google Scholar

[6] S. T. Dougherty, S. Karadeniz, B. Yildiz, Cyclic codes over R_k, Des. Codes and Cryptogr., vol. 63, (113-126), (2012).10.1007/s10623-011-9539-4Search in Google Scholar

[7] A. R. Hammons, P. V. Kumar, A. R. Calderbank, N. J. A. Sloane, P. Solé, The 𝕑₄-linearity of Kerdock, Preparata, Goethals, and related codes, IEEE Trans. Inf. Theory 40 (1994) 301-319.10.1109/18.312154Search in Google Scholar

[8] S. Karadeniz and B. Yildiz, Cyclic codes over 𝔽₂ + u𝔽₂ + v𝔽₂ + uv𝔽₂, Des. Codes and Cryptogr., vol. 58, (221-234), (2011).10.1007/s10623-010-9399-3Search in Google Scholar

[9] E. Martínez-Moro and S. Szabo, On Codes over Local Frobenius Non-Chain Rings of Order 16, Contemporary Mathematics, vol. 684, (227-241), (2015).10.1090/conm/634/12702Search in Google Scholar

[10] B. R. McDonald, Finite Rings with Identity, Marcel Dekker, New York, 1974.Search in Google Scholar

[11] J. Wood, Duality for Modules Over Finite Rings and Applications to Coding Theory, Am. J. Math. 121 (1999) 555-575.10.1353/ajm.1999.0024Search in Google Scholar