41 citations · 51 across the 12 of their papers we have counts for
14 papers · 1 filter
Conflict-Avoiding Codes of Prime Lengths and Cyclotomic Numbers
Liang-Chung Hsia, Hua-Chieh Li, Wei-Liang Sun
The problem to construct optimal conflict-avoiding codes of even lengths and the Hamming weight is completely settled. On the contrary, it is still open for odd lengths. It tur…
Certain Diagonal Equations and Conflict-Avoiding Codes of Prime Lengths
Liang-Chung Hsia, Hua-Chieh Li, Wei-Liang Sun
We study the construction of optimal conflict-avoiding codes (CAC) from a number theoretical point of view. The determination of the size of optimal CAC of prime length and wei…
A question for iterated Galois groups in arithmetic dynamics
Andrew Bridy, John R. Doyle, Dragos Ghioca +2
We formulate a general question regarding the size of the iterated Galois groups associated to an algebraic dynamical system and then we discuss some special cases of our question.
Heights and periodic points for one-parameter families of Hénon maps
Liang-Chung Hsia, Shu Kawaguchi
In this paper we study arithmetic properties of a one-parameter family of Hénon maps over the affine line. Given a family of initial points satisfying a…
Finite index theorems for iterated Galois groups of unicritical polynomials
Andrew Bridy, John R. Doyle, Dragos Ghioca +2
Let be the function field of a smooth, irreducible curve defined over . Let be of the form where is a powe…
A variant of a theorem by Ailon-Rudnick for elliptic curves
Dragos Ghioca, Liang-Chung Hsia, Thomas J. Tucker
Given a smooth projective curve C defined over a number field and given two elliptic surfaces E_1/C and E_2/C along with sections P_i and Q_i of E_i (for i = 1,2), we prove that if…