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math.NT2023
A note on prime index of a certain subgroup in
Wei-Liang Sun
Under the generalized Riemann hypothesis, we illustrate that the ratio of the set of primes such that has an odd prime index in to the…
math.NT2023
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…
math.NT2023★ 1 cited
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…