3 papers
cs.IT2025
The permutation group of Reed-Solomon codes over arbitrary points
Eduardo Camps-Moreno, Jun Bo Lau, Hiram H. López +1
In this work, we prove that the permutation group of a Reed-Solomon code is given by the polynomials of degree one that leave the set of evaluation points invariant. Our results pr…
math.AG2024
A census of genus 6 curves over
Yongyuan Huang, Kiran S. Kedlaya, Jun Bo Lau
We compile a complete list of isomorphism class representatives of curves of genus 6 over . We use explicit descriptions of canonical curves in each stratum of the Br…
math.NT2024
Coleman Integration on Modular Curves
Mingjie Chen, Kiran Kedlaya, Jun Bo Lau
Coleman integrals is a major tool in the explicit arithmetic of algebraic varieties, notably in the study of rational points on curves. One of the inputs to compute Coleman integra…