Asymptotically good LCD 2-quasi-abelian codes over finite chain rings.

Xiusheng Liu

Sanjit Bhowmick Xiusheng Liu Asymptotically good LCD 2-quasi-abelian codes over finite chain rings. 2026 May 647-660 37 Appl. Algebra Eng. Commun. Comput. 3 https://doi.org/10.1007/s00200-025-00681-x db/journals/aaecc/aaecc37.html#BhowmickL26 streams/journals/aaecc

Xiusheng Liu Jie Liu $\mathbb {F}_2\mathbb {F}_4$-ACP of codes. 2026 July 161 94 Des. Codes Cryptogr. 7 https://doi.org/10.1007/s10623-026-01902-1 db/journals/dcc/dcc94.html#LiuL26 streams/journals/dcc

Ye Guo Jie Liu Xiusheng Liu EAQEC codes from symplectic k-Galois-LCD codes. 2026 115125 349 Discret. Math. 9 https://doi.org/10.1016/j.disc.2026.115125 db/journals/dm/dm349.html#GuoLL26 streams/journals/dm

Jie Liu Peng Hu Xiusheng Liu Linear complementary pairs of subspace codes. 2026 115160 349 Discret. Math. 9 https://doi.org/10.1016/j.disc.2026.115160 db/journals/dm/dm349.html#LiuHL26 streams/journals/dm

Hui Li Xiusheng Liu Subsystem codes derived from the non-chain rings. 2026 115200 349 Discret. Math. 10 https://doi.org/10.1016/j.disc.2026.115200 db/journals/dm/dm349.html#LiL26a streams/journals/dm

Jie Liu 0073 Peng Hu Xiusheng Liu New subsystem codes from matrix-product codes. 21 2026 January 25 Quantum Inf. Process. 1 https://doi.org/10.1007/s11128-025-05046-4 db/journals/qip/qip25.html#LiuHL26 streams/journals/qip

Jie Liu 0073 Peng Hu Xiusheng Liu A new method of constructing AEAQEC codes via ρ-OD MP codes. 2026 June 174 25 Quantum Inf. Process. 6 https://doi.org/10.1007/s11128-026-05191-4 db/journals/qip/qip25.html#LiuHL26a streams/journals/qip

Jie Liu Peng Hu Xiusheng Liu Galois LCD subspace codes. 4911-4923 2025 November 93 Des. Codes Cryptogr. 11 https://doi.org/10.1007/s10623-025-01707-8 db/journals/dcc/dcc93.html#LiuHL25 streams/journals/dcc

Hui Li Xiusheng Liu EAQEC codes from the LCD codes decomposition of linear codes. 36 2025 February 24 Quantum Inf. Process. 2 https://doi.org/10.1007/s11128-024-04630-4 db/journals/qip/qip24.html#LiL25 streams/journals/qip

Hui Li Xiusheng Liu Cyclic codes over a semi-local ring and their applications to QEC and EAQEC codes. 49 2025 February 24 Quantum Inf. Process. 2 https://doi.org/10.1007/s11128-025-04666-0 db/journals/qip/qip24.html#LiL25a streams/journals/qip

Peng Hu Xiusheng Liu New EAQEC codes from LCP of codes over finite non-chain rings. 66 2025 March 24 Quantum Inf. Process. 3 https://doi.org/10.1007/s11128-025-04687-9 db/journals/qip/qip24.html#HuL25 streams/journals/qip

Peng Hu Xiusheng Liu New QEC and EAQEC codes from Euclidean sums and hulls of cyclic codes over $\mathbb {F}_2\times (\mathbb {F}_2+\varvec{v}\mathbb {F}_2)$. 179 2025 June 24 Quantum Inf. Process. 6 https://doi.org/10.1007/s11128-025-04795-6 db/journals/qip/qip24.html#HuL25a streams/journals/qip

Jie Liu Peng Hu Xiusheng Liu The Euclidean hulls of matrix product codes and their applications to EAQEC codes. 275 2025 September 24 Quantum Inf. Process. 9 https://doi.org/10.1007/s11128-025-04899-z db/journals/qip/qip24.html#LiuHL25 streams/journals/qip

Hui Li Xiusheng Liu Galois LCD codes decomposition of linear codes and their applications to EAQEC codes. 301 2025 September 24 Quantum Inf. Process. 9 https://doi.org/10.1007/s11128-025-04920-5 db/journals/qip/qip24.html#LiL25b streams/journals/qip

Peng Hu Xiusheng Liu AEAQEC codes from l-LCP of codes over finite non-chain rings. 349 2025 November 24 Quantum Inf. Process. 11 https://doi.org/10.1007/s11128-025-04973-6 db/journals/qip/qip24.html#HuL25b streams/journals/qip

Xiusheng Liu Peng Hu Constructions of AEAQEC codes via matrix-product codes. 114184 2024 347 Discret. Math. 12 https://doi.org/10.1016/j.disc.2024.114184 db/journals/dm/dm347.html#LiuH24 streams/journals/dm

Xiusheng Liu Peng Hu Z2Z4-ACP of codes and their applications to the noiseless two-user binary adder channel. 114194 2024 347 Discret. Math. 12 https://doi.org/10.1016/j.disc.2024.114194 db/journals/dm/dm347.html#LiuH24a streams/journals/dm

Sanjit Bhowmick Xiusheng Liu Linear complementary pairs of codes over a finite non-commutative Frobenius ring. 4923-4936 2024 October 70 J. Appl. Math. Comput. 5 https://doi.org/10.1007/s12190-024-02161-w db/journals/jamc/jamc70.html#BhowmickL24 streams/journals/jamc

Jie Liu Peng Hu Xiusheng Liu Quantum synchronizable codes from the ring $\mathbb {F}_{q} +$$\varvec{v}$$\mathbb {F}_{q}$. 44 2024 February 23 Quantum Inf. Process. 2 https://doi.org/10.1007/s11128-023-04248-y db/journals/qip/qip23.html#LiuHL24

Hualu Liu Xiusheng Liu New EAQEC codes from cyclic codes over ${\mathbb {Z}}_{4}+v{\mathbb {Z}}_{4}$. 65 2024 March 23 Quantum Inf. Process. 3 https://doi.org/10.1007/s11128-024-04277-1 db/journals/qip/qip23.html#LiuL24

Xiusheng Liu Peng Hu New QEC and EAQEC codes from repeated-root cyclic codes of length 10ps over finite fields $\mathbb {F}_{p^m}$. 164 2024 May 23 Quantum Inf. Process. 5 https://doi.org/10.1007/s11128-024-04374-1 db/journals/qip/qip23.html#LiuH24

Hualu Liu Xiusheng Liu Yuan Yuan New asymmetric quantum codes from matrix-product codes. 229 2024 June 23 Quantum Inf. Process. 6 https://doi.org/10.1007/s11128-024-04445-3 db/journals/qip/qip23.html#LiuLY24

Jie Liu Xiusheng Liu New quantum codes from Hermitian dual-containing matrix-product codes. 279 2024 July 23 Quantum Inf. Process. 7 https://doi.org/10.1007/s11128-024-04486-8 db/journals/qip/qip23.html#LiuL24a streams/journals/qip

Peng Hu Xiusheng Liu Correction to: Quantum error-correcting codes from the quantum construction X. 332 2024 October 23 Quantum Inf. Process. 10 https://doi.org/10.1007/s11128-024-04542-3 db/journals/qip/qip23.html#HuL24 streams/journals/qip

Sanjit Bhowmick Xiusheng Liu Linear complementary pairs of codes over a finite non-commutative Frobenius ring. 2024 abs/2406.15794 CoRR https://doi.org/10.48550/arXiv.2406.15794 db/journals/corr/corr2406.html#abs-2406-15794

Xiusheng Liu Hualu Liu LCP of group codes over finite Frobenius rings. 695-708 2023 March 91 Des. Codes Cryptogr. 3 https://doi.org/10.1007/s10623-022-01120-5 https://www.wikidata.org/entity/Q114849608 db/journals/dcc/dcc91.html#LiuL23

Xiusheng Liu Peng Hu Corrigendum to "l-LIPs of codes over finite chain rings" [Discrete Math. 345 (12) (2022) 113087]. 113677 2023 December 346 Discret. Math. 12 https://doi.org/10.1016/j.disc.2023.113677 db/journals/dm/dm346.html#LiuH23

Peng Hu Xiusheng Liu EAQEC codes from two distinct constacyclic codes. 100 2023 February 22 Quantum Inf. Process. 2 https://doi.org/10.1007/s11128-023-03849-x db/journals/qip/qip22.html#HuL23

Jie Liu Xiusheng Liu l-LCP of codes and their applications to EAQEC codes. 186 2023 May 22 Quantum Inf. Process. 5 https://doi.org/10.1007/s11128-023-03932-3 db/journals/qip/qip22.html#LiuL23

Jie Liu Peng Hu Xiusheng Liu Application of Euclidean sums of matrix-product codes to quantum codes. 202 2023 May 22 Quantum Inf. Process. 5 https://doi.org/10.1007/s11128-023-03954-x db/journals/qip/qip22.html#LiuHL23

Peng Hu Xiusheng Liu Quantum error-correcting codes from the quantum construction X. 366 2023 October 22 Quantum Inf. Process. 10 https://doi.org/10.1007/s11128-023-04122-x db/journals/qip/qip22.html#HuL23a

Xiusheng Liu Peng Hu l-LIPs of codes over finite chain rings. 113087 2022 345 Discret. Math. 12 https://doi.org/10.1016/j.disc.2022.113087 db/journals/dm/dm345.html#LiuH22

Xiusheng Liu Hualu Liu A note on the intersection of two distinct constacyclic codes. 102095 2022 84 Finite Fields Their Appl. https://doi.org/10.1016/j.ffa.2022.102095 db/journals/ffa/ffa84.html#LiuL22

Yanqing Dai Xiusheng Liu QSCs from the Euclidean sums of cyclic codes over finite rings. 295 2022 21 Quantum Inf. Process. 8 https://doi.org/10.1007/s11128-022-03625-3 https://www.wikidata.org/entity/Q114223645 db/journals/qip/qip21.html#DaiL22

Hualu Liu Peng Hu Xiusheng Liu Asymmetric entanglement-assisted quantum codes: bound and constructions. 797-809 2021 89 Des. Codes Cryptogr. 5 https://doi.org/10.1007/s10623-021-00845-z db/journals/dcc/dcc89.html#LiuHL21

Peng Hu Xiusheng Liu Linear complementary pairs of codes over rings. 2495-2509 2021 89 Des. Codes Cryptogr. 11 https://doi.org/10.1007/s10623-021-00933-0 db/journals/dcc/dcc89.html#HuL21

Hualu Liu Xiusheng Liu Constructions of quantum MDS codes. 14 2021 20 Quantum Inf. Process. 1 https://doi.org/10.1007/s11128-020-02949-2 db/journals/qip/qip20.html#LiuL21

Peng Hu Xiusheng Liu Three classes of new EAQEC MDS codes. 1-19 2021 20 Quantum Inf. Process. 3 https://doi.org/10.1007/s11128-021-03039-7 db/journals/qip/qip20.html#HuL21

Hualu Liu Xiusheng Liu Quantum synchronizable codes from finite rings. 125 2021 20 Quantum Inf. Process. 3 https://doi.org/10.1007/s11128-021-03058-4 db/journals/qip/qip20.html#LiuL21a

Xiusheng Liu Hualu Liu σ-LCD codes over finite chain rings. 727-746 2020 88 Des. Codes Cryptogr. 4 https://doi.org/10.1007/s10623-019-00706-w db/journals/dcc/dcc88.html#LiuL20

Xiusheng Liu Hualu Liu Long Yu New EAQEC codes constructed from Galois LCD codes. 20 2020 19 Quantum Inf. Process. 1 https://doi.org/10.1007/s11128-019-2515-z https://www.wikidata.org/entity/Q126651355 db/journals/qip/qip19.html#LiuLY20

Xiusheng Liu Peng Hu New quantum codes from two linear codes. 78 2020 19 Quantum Inf. Process. 3 https://doi.org/10.1007/s11128-020-2575-0 https://www.wikidata.org/entity/Q126360544 db/journals/qip/qip19.html#LiuH20

Hualu Liu Xiusheng Liu New EAQEC codes from cyclic codes over $\mathbb {F}_{q}+u\mathbb {F}_{q}$. 85 2020 19 Quantum Inf. Process. 3 https://doi.org/10.1007/s11128-020-2580-3 https://www.wikidata.org/entity/Q126329986 db/journals/qip/qip19.html#LiuL20

Hualu Liu Xiusheng Liu Constructions of quantum MDS codes. 2020 abs/2002.06040 CoRR https://arxiv.org/abs/2002.06040 db/journals/corr/corr2002.html#abs-2002-06040

Peng Hu Xiusheng Liu A new method for constructing EAQEC MDS codes. 2020 abs/2003.00843 CoRR https://arxiv.org/abs/2003.00843 db/journals/corr/corr2003.html#abs-2003-00843

Hualu Liu Xiusheng Liu Linear complementary pair of group codes over finite principal ideal rings. 2020 abs/2012.13239 CoRR https://arxiv.org/abs/2012.13239 db/journals/corr/corr2012.html#abs-2012-13239

Xiusheng Liu Long Yu Peng Hu New entanglement-assisted quantum codes from k-Galois dual codes. 21-32 2019 55 Finite Fields Their Appl. https://doi.org/10.1016/j.ffa.2018.09.001 https://www.wikidata.org/entity/Q129211707 db/journals/ffa/ffa55.html#LiuYH19

Long Yu Xiusheng Liu Constant composition codes as subcodes of linear codes. 205-217 2019 October 61 J. Appl. Math. Comput. 1-2 https://doi.org/10.1007/s12190-019-01247-0 https://www.wikidata.org/entity/Q128265125 db/journals/jamc/jamc61.html#YuL19

Xiusheng Liu Hualu Liu Rank-metric complementary dual codes. 281-295 2019 October 61 J. Appl. Math. Comput. 1-2 https://doi.org/10.1007/s12190-019-01254-1 https://www.wikidata.org/entity/Q128189549 db/journals/jamc/jamc61.html#LiuL19

Xiusheng Liu Hualu Liu Long Yu Entanglement-assisted quantum codes from matrix-product codes. 183 2019 18 Quantum Inf. Process. 6 https://doi.org/10.1007/s11128-019-2300-z https://www.wikidata.org/entity/Q127911082 db/journals/qip/qip18.html#LiuLY19

Peng Hu Xiusheng Liu Binary LCD Codes from Z2Z2[u]. 2019 abs/1903.11380 CoRR http://arxiv.org/abs/1903.11380 db/journals/corr/corr1903.html#abs-1903-11380

Xiusheng Liu Hai Q. Dinh 0001 Hualu Liu Long Yu On new quantum codes from matrix product codes. 579-589 2018 10 Cryptogr. Commun. 4 https://doi.org/10.1007/s12095-017-0242-9 db/journals/ccds/ccds10.html#LiuDLY18

Hai Q. Dinh 0001 Yun Fan Hualu Liu Xiusheng Liu Songsak Sriboonchitta On self-dual constacyclic codes of length over. 324-335 2018 341 Discret. Math. 2 https://doi.org/10.1016/j.disc.2017.08.044 db/journals/dm/dm341.html#DinhFLLS18

Xiusheng Liu Yun Fan Hualu Liu Galois LCD codes over finite fields. 227-242 2018 49 Finite Fields Their Appl. https://doi.org/10.1016/j.ffa.2017.10.001 db/journals/ffa/ffa49.html#LiuFL18

Xiusheng Liu Hualu Liu Long Yu Entanglement-assisted quantum codes from Galois LCD codes. 2018 abs/1809.00568 CoRR http://arxiv.org/abs/1809.00568 db/journals/corr/corr1809.html#abs-1809-00568

Hai Q. Dinh 0001 Hongwei Liu 0003 Xiusheng Liu Songsak Sriboonchitta On structure and distances of some classes of repeated-root constacyclic codes over Galois rings. 86-105 2017 43 Finite Fields Their Appl. https://doi.org/10.1016/j.ffa.2016.09.004 db/journals/ffa/ffa43.html#DinhLLS17

Xiusheng Liu Hualu Liu Quantum codes from linear codes over finite chain rings. 240 2017 16 Quantum Inf. Process. 10 https://doi.org/10.1007/s11128-017-1695-7 db/journals/qip/qip16.html#LiuL17a

Xiusheng Liu Hualu Liu Quantum Codes from Linear Codes over Finite Chain Rings. 2017 abs/1704.06375 CoRR http://arxiv.org/abs/1704.06375 db/journals/corr/corr1704.html#LiuL17c

Xiusheng Liu Yun Fan Hualu Liu Galois LCD Codes over Finite Fields. 2017 abs/1705.00770 CoRR http://arxiv.org/abs/1705.00770 db/journals/corr/corr1705.html#LiuFL17

Long Yu Xiusheng Liu Constant Composition Codes as Subcodes of Linear Codes. 2017 abs/1706.06997 CoRR http://arxiv.org/abs/1706.06997 db/journals/corr/corr1706.html#YuL17

Long Yu Xiusheng Liu Constant composition codes derived from linear codes. 2017 abs/1706.08900 CoRR http://arxiv.org/abs/1706.08900 db/journals/corr/corr1706.html#YuL17a

Xiusheng Liu Hualu Liu Rank-metric LCD codes. 2017 abs/1708.00997 CoRR http://arxiv.org/abs/1708.00997 db/journals/corr/corr1708.html#abs-1708-00997

Xiusheng Liu Hualu Liu Matrix-Product Complementary dual Codes. 2016 abs/1604.03774 CoRR http://arxiv.org/abs/1604.03774 db/journals/corr/corr1604.html#LiuL16b

Xiusheng Liu Hualu Liu Long Yu On New Quantum Codes From Matrix Product Codes. 2016 abs/1604.05823 CoRR http://arxiv.org/abs/1604.05823 db/journals/corr/corr1604.html#LiuLY16

Long Yu Qiong Huang Hongwei Liu Xiusheng Liu Self-Dual Codes over ℤ2 × (ℤ2 + uℤ2). 2016 abs/1610.00900 CoRR http://arxiv.org/abs/1610.00900 db/journals/corr/corr1610.html#YuHLL16

Xiusheng Liu Hualu Liu LCD codes over finite chain rings. 1-19 2015 34 Finite Fields Their Appl. https://doi.org/10.1016/j.ffa.2015.01.004 db/journals/ffa/ffa34.html#LiuL15

Xiusheng Liu Hualu Liu Macwilliams identities of linear codes over the ring F 2 + uF 2 + vF 2. 691-701 2015 28 J. Syst. Sci. Complex. 3 https://doi.org/10.1007/s11424-015-2246-x db/journals/jossac/jossac28.html#LiuL15

Hongsheng Yu Xiusheng Liu Structure similarity image quality assessment based on visual perception. 1519-1522 2011 EMEIT https://doi.org/10.1109/EMEIT.2011.6023384 conf/emeit/2011 db/conf/emeit/emeit2011.html#YuL11 Sanjit Bhowmick Yanqing Dai Hai Q. Dinh 0001 Yun Fan Ye Guo Peng Hu Qiong Huang Hui Li Hongwei Liu Hongwei Liu 0003 Hualu Liu Jie Liu Jie Liu 0073 Songsak Sriboonchitta Hongsheng Yu Long Yu Yuan Yuan