Shitao Li

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Research Interests

My research interests primarily focus on algebraic coding theory, quantum information theory, and mathematical problems in Cryptography

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Awards

• Excellent Graduates, Anhui Province, 2025

• Special Program for Doctoral Students under the Young Talents Lifting Project, China Association for Science and Technology (CAST), 2024

• Graduate Student Innovation and Entrepreneurship Star, Anhui Province, 2024

• National Scholarship for Doctoral Students, Ministry of Education of the People’s Republic of China, 2024

• National Scholarship for Doctoral Students, Ministry of Education of the People’s Republic of China, 2023

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Preprints

1. Improved bounds and optimal constructions of pure quantum locally recoverable codes
   Yang Li, Shitao Li, Gaojun Luo, San Ling
   2025, https://arxiv.org/abs/2512.07256.

2. On optimal quantum LRCs from the Hermitian construction and t-designs
   Yang Li, Shitao Li, Huimin Lao, Gaojun Luo, San Ling
   2025, https://arxiv.org/abs/2508.13553.

3. A further study on the mass formula for linear codes with prescribed hull dimension
   Shitao Li, Minjia Shi, Yang Li, San Ling
   2024, https://arxiv.org/abs/2410.13578.

4. Characterization of Plotkin-optimal two-weight codes over finite chain rings and related applications
   Shitao Li, Minjia Shi
   2023, https://arxiv.org/abs/2305.08561.

5. Characterization and construction of optimal binary linear codes with one-dimensional hull
   Shitao Li, Minjia Shi, Jon-Lark Kim
   2023, https://arxiv.org/abs/2211.02480.

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Publications

2026

1. Nonexistence of several infinite families of binary self-orthogonal codes
   Shitao Li, Minjia Shi*, Tor Helleseth, San Ling
   IEEE Transactions on Information Theory, 2026, 72(1): 285-297.
   Data can be found at [code5]

2. Some bounds on the cardinality of the $b$-symbol weight spectrum of codes
   Hongwei Zhu, Shitao Li*, Minjia Shi, Shu-Tao Xia, Patrick Solé
   Discrete Mathematics, 2026, 349(1): 114678.


2025

3. Binary self-orthogonal codes which meet the Griesmer bound or have optimal minimum distances
   Minjia Shi*, Shitao Li, Tor Helleseth, Jon-Lark Kim
   Journal of Combinatorial Theory, Series A, 2025, 214: 106027.

4. On the error coefficients of asymptotic frame error rate optimal binary linear codes
   Shitao Li, Gaojun Luo, Minjia Shi*, San Ling
   IEEE Transactions on Information Theory, 2025, 71(7): 5144-5153.

5. A mass formula for linear codes with prescribed hull dimension and related classification
   Shitao Li, Minjia Shi*, San Ling
   IEEE Transactions on Information Theory, 2025, 71(1): 273-286.
   Data can be found at [code4]

6. An open problem and a conjecture on binary linear complementary pairs of codes
   Shitao Li, Minjia Shi*, San Ling
   IEEE Transactions on Information Theory, 2025, 71(1): 219-226.

7. Determining the covering radius of all generalized Zetterberg codes in odd characteristic
   Minjia Shi*, Shitao Li, Tor Helleseth, Ferruh Özbudak
   IEEE Transactions on Information Theory, 2025, 71(5): 3602-3613.

8. Lower bounds for error coefficients of Griesmer optimal linear codes via iteration
   Chaofeng Guan, Shitao Li, Gaojun Luo, Zhi Ma*, Hong Wang
   IEEE Transactions on Information Theory, 2025, 71(9): 6820-6833.

9. Asymptotically good four Toeplitz codes and derived new formally self-dual LCD codes
   Juan Wang, Shitao Li*, Yang Li, Yan Liu
   Journal of Applied Mathematics and Computing, 2025, 71(2): 2505–2525.

10. Construction of linear codes with various Hermitian hull dimensions and related EAQECCs
    Ruowen Liu, Shitao Li, Minjia Shi*
    Advances in Mathematics of Communications, 2025, 19(2): 588-603.
    Data can be found at [Code2]


2024

11. Characterization and classification of binary linear codes with various hull dimensions from an improved mass formula
    Shitao Li, Minjia Shi*
    IEEE Transactions on Information Theory, 2024, 70(5): 3357-3372.
    Data can be found at [code3]

12. The weight enumerator polynomials of the lifted codes of the projective Solomon-Stiffler codes
    Minjia Shi, Shitao Li*, Tor Helleseth
    IEEE Transactions on Information Theory, 2024, 70(9): 6316-6325.

13. Several constructions of optimal LCD codes over small finite fields
    Shitao Li, Minjia Shi*, Huizhon Liu
    Cryptography and Communications, 2024, 16(4): 779–800.
    Data can be found at [code1]

14. Characterization and classification of optimal ternary linear one-dimensional hull codes
    Tingting Tong, Shitao Li, Minjia Shi*
    Journal of Applied Mathematics and Computing, 2024, 70(6): 5557-5574.
    Data can be found at [Code1]

15. New and improved formally self-dual codes with small hulls from polynomial four Toeplitz codes
    Yang Li, Shitao Li, Shixin Zhu*
    Designs, Codes and Cryptography, 2024, 92: 3723-3751.

16. Symplectic self-orthogonal and linear complementary dual codes from the Plotkin sum construction
    Shixin Zhu, Yang Li*, Shitao Li
    Finite Fields and Their Applications, 2024, 96: 102425.


2023

17. Two conjectures on the largest minimum distances of binary self-orthogonal codes with dimension 5
    Minjia Shi*, Shitao Li, Jon-Lark Kim
    IEEE Transactions on Information Theory, 2023, 69(7): 4507-4512.

18. An improved method for constructing formally self-dual codes with small hulls
    Shitao Li, Minjia Shi*, Juan Wang
    Designs, Codes and Cryptography, 2023, 91(7): 2563-2583.

19. On Toeplitz codes of index $t$ and isometry codes
    Shitao Li, Minjia Shi*, Huizhou Liu
    Discrete Mathematics, 2023, 346(9): 113484.

20. Optimal quaternary linear codes with one-dimensional Hermitian hull and related EAQECCs
    Shitao Li, Minjia Shi*, Huizhou Liu
    Quantum Information Processing, 2023, 22(10): 388.
    Data can be found at [code2]

21. Two infinite families of two-weight codes over $\mathbb{Z}_{2^m}$
    Shitao Li, Minjia Shi*
    Journal of Applied Mathematics and Computing, 2023, 69(1): 201–218.

22. The adjacency codes of the first yellow graphs
    Minjia Shi*, Shitao Li, Jon-Lark Kim, Patrick Solé
    Journal of Systems Science and Complexity, 2023, 36(4): 1757–1768.

23. Several classes of Galois self-orthogonal MDS codes and related applications
    Yang Li, Yunfei Su, Shixin Zhu*, Shitao Li, Minjia Shi
    Finite Fields and Their Applications, 2023, 91: 102267.


2022

24. LCD and ACD codes over a noncommutative non-unital ring with four elements
    Minjia Shi*, Shitao Li, Jon-Lark Kim, Patrick Solé
    Cryptography and Communications, 2022, 14(3): 627–640.


2021

25. $\mathbb{Z}_2\mathbb{Z}_4$-additive quasi-cyclic codes
    Minjia Shi*, Shitao Li, Patrick Solé
    IEEE Transactions on Information Theory, 2021, 67(11): 7232-7239.

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Speakers

1. The Ninth Symposium on Coding Theory, Cryptography and Combinatorics
   Shandong University
   Qingdao, China, 8-12 May, 2025
   Report Title: On the error coefficients of asymptotic frame error rate optimal binary linear codes

2. 10th Korea-Sino International Conference on Coding Theory and Its Related Topics
   Kyungpook National University
   Daegu, Korea, 2-6 July, 2024
   Report Title: A mass formula for linear codes with prescribed hull dimension and related classification

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Services

• Journals Reviewer for:
  MATHEMATICAL REVIEWS
  IEEE Transactions on Information Theory
  Designs, Codes and Cryptography
  Cryptography and Communications
  Discrete Mathematics
  Computational and Applied Mathematics
  Advances in Mathematics of Communications

• Conferences Reviewer for:
  IWACCE 2024