Chang‐An Zhao

Complete Weight Enumerator of a Family of Linear Codes from Cyclotomy

2015 · arXiv (Cornell University)

Linear codes have been an interesting topic in both theory and practice for many years. In this paper, for a prime $p$, we determine the explicit complete weight enumerators of a family of linear codes …

Multi-point Codes from Generalized Hermitian Curves

2015 · arXiv (Cornell University)

We investigate multi-point algebraic geometric codes defined from curves related to the generalized Hermitian curve introduced by Alp Bassa, Peter Beelen, Arnaldo Garcia, and Henning Stichtenoth. Our main result is to find a basis of …

An Alternative Approach for Computing Discrete Logarithms in Compressed SIDH.

2021 · IACR Cryptology ePrint Archive

Currently, public-key compression of supersingular isogeny Diffie-Hellman (SIDH) and its variant, supersingular isogeny key encapsulation (SIKE) involve pairing computation and discrete logarithm computation. In this paper, we propose novel methods to compute only 3 discrete …

Optimal and Almost Optimal Locally Repairable Codes from Hyperelliptic Curves

2025 · arXiv (Cornell University)

Locally repairable codes are widely applicable in contemporary large-scale distributed cloud storage systems and various other areas. By making use of some algebraic structures of elliptic curves, Li et al. developed a series of $q$-ary …