胡创强,预聘助理教授,博士生、硕士生导师, 2017年在7790CNM必发集团获得博士学位,在清华大学丘成桐数学科学中心从事博士后研究,2021年在BIMSA任职副研究员. 于2025年入职7790CNM必发集团。


研究领域:

算术几何, 数论, 编码理论

 


论文:

一、数论方向

   [1]Pellarin Values from Cauchy Coordinates on Arbitrary Curves. arXiv:2610.26191 [math.NT].

   [2]Pellarin's Identity, Carlitz Period, and Anderson Generating Functions over Arbitrary Curves. arXiv:2610.03134 [math.NT].

   [3]Geometric Realization of Finite Residue Casimirs and Weil Operators via Szegő Kernels. arXiv:2608.23996 [math.NT].

   [4]Rank-Two Drinfeld Module over Elliptic Curves. arXiv:2606.26851 [math.NT].

   [5]Relation between Anderson Generating Functions and Weil Pairing. arXiv:2604.04124 [math.NT].

   [6]Drinfeld module and Weil pairing over Dedekind domain of class number two. 合作者:Xiao-Min Huang. Finite Fields Their Appl., 2024.

   [7]Weierstrass semigroups on the third function field in a tower attaining the Drinfeld-Vlăduţ bound. 合作者:Shudi Yang. Adv. Math. Commun., 2024.  

   [8]Pure Weierstrass gaps from a quotient of the Hermitian curve. 合作者:Shudi Yang. Finite Fields Their Appl., 2018. 预印本:arXiv:1705.05213, 2017.

   [9]Weierstrass semigroups from Kummer extensions. 合作者:Shudi Yang. Finite Fields Their Appl., 2017. 预印本:arXiv:1607.05887, 2016.

二、编码方向

   [1]On the Maximal Length of MDS Elliptic Codes. 合作者:Haojie Chen、Junjie Huang、Chang-An Zhao. arXiv:2605.29439, 2026.

   [2]Trace representation of the binary pq2-periodic sequences derived from Euler quotients. 合作者:Jingwei Zhang、Xiang Fan、Chang-An Zhao. Cryptogr. Commun., 2021.

   [3]Weight enumerators for nonbinary asymmetric quantum codes and their applications. 合作者:Shudi Yang、Stephen S.-T. Yau. Adv. Appl. Math., 2020.

   [4]Multi-point codes from the GGS curves. 合作者:Shudi Yang. Adv. Math. Commun., 2020. 预印本:arXiv:1706.00313, 2017.

   [5]Complete Weight Distributions and MacWilliams Identities for Asymmetric Quantum Codes. 合作者:Shudi Yang、Stephen S.-T. Yau. IEEE Access, 2019. 预印本(题名略异):Complete Weight Distribution and MacWilliams Identities for Asymmetric Quantum Codes. arXiv:1810.11969, 2018.

   [6]Multi-point codes over Kummer extensions. 合作者:Shudi Yang. Des. Codes Cryptogr., 2018. 预印本:arXiv:1607.05462, 2016.

   [7]Note on scalar multiplication using division polynomials. 合作者:Binglong Chen、Chang-An Zhao. IET Inf. Secur., 2017. 预印本(题名略异):A Note on Scalar Multiplication Using Division Polynomials. IACR Cryptol. ePrint Arch., 2015.

   [8]Explicit Construction of AG Codes From a Curve in the Tower of Bassa-Beelen-Garcia-Stichtenoth. 独著. IEEE Trans. Inf. Theory, 2017. 
   

   [9]Multi-Point Codes From Generalized Hermitian Curves. 合作者:Chang-An Zhao. IEEE Trans. Inf. Theory, 2016. 预印本:arXiv:1504.04171, 2015.