李世涛(Shitao Li)
E-mail: lishitao0216@163.com
Research directions: Algebraic coding and Cryptography
2022.09~present, PhD in mathematics, Anhui University.
2020.09~2022.06, Master’s degree in mathematics, Anhui University.
2016.09~2020.06, Bachelor’s degree in Mathematics, Anhui University.
Preprints
- Shitao Li, Minjia Shi, Characterization of Plotkin-optimal two-weight codes over finite chain rings and related applications, 2023, https://arxiv.org/abs/2305.08561.
- Shitao Li, Minjia Shi, Jon-Lark Kim, Characterization and construction of optimal binary linear codes with one-dimensional hull, 2023, https://arxiv.org/abs/2211.02480.
- Hongwei Zhu, Shitao Li, Minjia Shi, Shu-Tao Xia, Patrick Solé, Some bounds on the cardinality of the b-symbol weight spectrum of codes, 2024, https://arxiv.org/abs/2404.02471.
- Shitao Li, Minjia Shi, Yang Li, San Ling, A further study on the mass formula for linear codes with prescribed hull dimension, 2024, https://arxiv.org/abs/2410.13578.
Publication
2025
[22] Minjia Shi, Shitao Li, Tor Helleseth, Jon-Lark Kim, Binary self-orthogonal codes which meet the Griesmer bound or have optimal minimum distances, Journal of Combinatorial Theory, Series A, 2025, 214: 106027.
[21] Shitao Li, Gaojun Luo, Minjia Shi, San Ling, On the error coefficients of asymptotic frame error rate optimal binary linear codes, IEEE Transactions on Information Theory, 2025, DOI: 10.1109/TIT.2025.3566543.
[20] Shitao Li, Minjia Shi, San Ling, A mass formula for linear codes with prescribed hull dimension and related classification, IEEE Transactions on Information Theory, 2025, 71(1): 273-286.
[19] Shitao Li, Minjia Shi, San Ling, An open problem and a conjecture on binary linear complementary pairs of codes, IEEE Transactions on Information Theory, 2025, 71(1): 219-226.
[18] Minjia Shi, Shitao Li, Tor Helleseth, Ferruh Özbudak, Determining the covering radius of all generalized Zetterberg codes in odd characteristic, IEEE Transactions on Information Theory, 2025, 71(5): 3602-3613.
[17] Juan Wang, Shitao Li, Yang Li, Yan Liu, Asymptotically good four Toeplitz codes and derived new formally self-dual LCD codes, Journal of Applied Mathematics and Computing, 2025, 71(2): 2505-2525.
[16] Ruowen Liu, Shitao Li, Minjia Shi, Construction of linear codes with various Hermitian hull dimensions and related EAQECCs, Advances in Mathematics of Communications, 2025, 19(2): 588-603.
2024
[15] Shitao Li, Minjia Shi, Characterization and classification of binary linear codes with various hull dimensions from an improved mass formula, IEEE Transactions on Information Theory, 2024, 70(5): 3357-3372.
[14] Minjia Shi, Shitao Li, Tor Helleseth, The weight enumerator polynomials of the lifted codes of the projective Solomon-Stiffler codes, IEEE Transactions on Information Theory, 2024, 70(9): 6316-6325.
[13] Shitao Li, Minjia Shi, Huizhou Liu, Several constructions of optimal LCD codes over small finite fields, Cryptography and Communications, 2024, 16(4): 779–800.
[12] Tingting Tong, Shitao Li, Minjia Shi, Characterization and classification of optimal ternary linear one-dimensional hull codes, Journal of Applied Mathematics and Computing, 2024, 70(6): 5557-5574.
[11] Yang Li, Shitao Li, Shixin Zhu, New and improved formally self-dual codes with small hulls from polynomial four Toeplitz codes, Designs, Codes and Cryptography, 2024, 92(11): 3723-3751.
[10] Shixin Zhu, Yang Li, Shitao Li, Symplectic self-orthogonal and linear complementary dual codes from the Plotkin sum construction, Finite Fields and Their Applications, 2024, 96: 102425.
2023
[9] Minjia Shi, Shitao Li, Jon-Lark Kim, Two conjectures on the largest minimum distances of binary self-orthogonal codes with dimension 5, IEEE Transactions on Information Theory, 2023, 69(7): 4507-4512.
[8] Shitao Li, Minjia Shi, Juan Wang, An improved method for constructing formally self-dual codes with small hulls, Designs, Codes and Cryptography, 2023, 91(7): 2563-2583.
[7] Shitao Li, Minjia Shi, Huizhou Liu, On Toeplitz codes of index $t$ and isometry codes, Discrete Mathematics, 2023, 346(9): 113484.
[6] Shitao Li, Minjia Shi, Huizhou Liu, Optimal quaternary linear codes with one-dimensional Hermitian hull and related EAQECCs, Quantum Information Processing, 2023, 22(10): 388.
[5] Shitao Li, Minjia Shi, Two infinite families of two-weight codes over $\mathbb{Z}_{2^m}$, Journal of Applied Mathematics and Computing, 2023, 69(1): 201–218.
[4] Minjia Shi, Shitao Li, Jon-Lark Kim, Patrick Solé, The adjacency codes of the first yellow graphs, Journal of Systems Science and Complexity, 2023, 36(4): 1757–1768.
[3] Yang Li, Yunfei Su, Shixin Zhu, Shitao Li, Minjia Shi, Several classes of Galois self-orthogonal MDS codes and related applications, Finite Fields and Their Applications, 2023, 91: 102267.
2022
[2] Minjia Shi, Shitao Li, Jon-Lark Kim, Patrick Solé, LCD and ACD codes over a noncommutative non-unital ring with four elements, Cryptography and Communications, 2022, 14(3): 627–640.
2021
[1] Minjia Shi, Shitao Li, Patrick Solé, $\mathbb{Z}_2\mathbb{Z}_4$-additive quasi-cyclic codes, IEEE Transactions on Information Theory, 2021, 67(11): 7232-7239.