1-generator generalized quasi-cyclic codes over ℤ 4 $\mathbb {Z}_{4}$

Tingting Wu, Jian Gao, Fang‐Wei Fu

Type: Article

Publication Date: 2015-12-14

Citations: 7

DOI: https://doi.org/10.1007/s12095-015-0175-0

View Publication

Locations

Cryptography and Communications - View

Similar Works

Action	Title	Year	Authors
+	1-Generator Quasi-Cyclic Codes	2007	Junying Pei Xuejun Zhang
+	1-Generator quasi-cyclic and generalized quasi-cyclic codes over the ring $$\frac{{{\mathbb {Z}_4}[u]}}{{\left\langle {{u^2} - 1}\right\rangle }}$$ Z 4 [ u ] u 2 - 1	2017	Yun Gao Jian Gao Tingting Wu Fang‐Wei Fu
+	1-generator two-dimensional quasi-cyclic codes over Z_4[u]/ <u^2-1>	2022	Arazgol Ghajari Kazem Khashyarmanesh Zohreh Rajabi
+	Quaternary 1-generator quasi-cyclic codes	2010	Jie Cui Junying Pei
+	Constructions of 2-generator quasi-cyclic codes	2006	Eric Zhi Chen
+	1-generator quasi-cyclic codes over finite chain rings	2012	Yonglin Cao
+	$${{\mathbb {Z}}}_2$$ Z 2 -double cyclic codes	2017	Joaquim Borges Cristina Fernández-Córdoba Roger Ten-Valls
+	Generalized Quasicyclic Codes	2017	Minjia Shi Adel Alahmadi Patrick Solé
+	Cyclic codes over $$M_4 (\mathbb {F}_2+u\mathbb {F}_2)$$	2022	Shikha Patel Om Prakash Habibul Islam
+	On the construction of self-dual cyclic codes over $$\mathbb {Z}_{4}$$ with arbitrary even length	2022	Yuan Cao Yonglin Cao San Ling Guidong Wang
+	$${\mathbb {Z}}_{2}{\mathbb {Z}}_{4}{\mathbb {Z}}_{8}$$ Z 2 Z 4 Z 8 -Cyclic codes	2018	İsmail Aydoğdu Fatmanur Gürsoy
+	There is exactly one $${\mathbb {Z}}_2{\mathbb {Z}}_4$$ Z 2 Z 4 -cyclic 1-perfect code	2016	Joaquim Borges Cristina Fernández-Córdoba
+ PDF Chat	Skew cyclic codes over $$\mathbb {Z}_{4}+u\mathbb {Z}_{4}+v\mathbb {Z}_{4}$$	2023	Basri ÇALIŞKAN Nuh Aydın Peihan Liu
+ PDF Chat	1-generator two-dimensional quasi-cyclic codes over $\mathbb{Z}_4[u]/\langle u^2-1\rangle$	2022	Arazgol Ghajari Kazem Khashyarmanesh Zohreh Rajabi
+	Self-dual cyclic codes over $${\mathbb {Z}}_4$$ of length 4n	2020	Yuan Cao Yonglin Cao Fang‐Wei Fu Guidong Wang
+	On generalized quasi-cyclic codes over $\mathbb{Z}_4$	2022	Jian Gao Xiangrui Meng Fang‐Wei Fu
+	Structure and performance of generalized quasi-cyclic codes	2017	Cem Güneri̇ Ferruh Özbudak Buket Özkaya Elif Saçıkara Zahra Sepasdar Patrick Solé
+	(σ, δ)-Skew quasi-cyclic codes over the ring $\mathbb {Z}_{4}+u\mathbb {Z}_{4}$	2021	Fanghui Ma Jian Gao Juan Li Fang‐Wei Fu
+	An infinite family of Griesmer quasi-cyclic self-orthogonal codes	2021	Bohyun Kim Yoonjin Lee Jinjoo Yoo
+	Cyclic codes over the ring $$\mathbb {Z}_{2^{k}} + u\mathbb {Z}_{2^{k}}$$	2024	Horacio Tapia-Recillas Juan Armando Velazco-Velazco

Works That Cite This (3)

Action	Title	Year	Authors
+ PDF Chat	On the structure of 1-generator quasi-polycyclic codes over finite chain rings	2021	Rongsheng Wu Minjia Shi Patrick Solé
+	Two classes of quasi-cyclic codes via irreducible polynomials	2023	Daitao Huang Qin Yue Fengwei Li
+	1-Generator quasi-cyclic and generalized quasi-cyclic codes over the ring $$\frac{{{\mathbb {Z}_4}[u]}}{{\left\langle {{u^2} - 1}\right\rangle }}$$ Z 4 [ u ] u 2 - 1	2017	Yun Gao Jian Gao Tingting Wu Fang‐Wei Fu

Works Cited by This (1)

Action	Title	Year	Authors
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust