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math.CO2026
On circular external difference families
A. Burgess, F. Merola, T. Traetta
Circular external difference families (CEDFs) are a recently-introduced variation of external difference families (EDFs) with applications to non-malleable threshold schemes: a $(v…
math.CO2025
The existence of pyramidal Steiner triple systems over abelian groups
Yanxun Chang, Tommaso Traetta, Junling Zhou
A Steiner triple system STS is called -pyramidal if it has an automorphism group fixing points and acting sharply transitively on the remaining points. In this pa…
math.CO2024
Towards a solution of Archdeacon's conjecture on integer Heffter arrays
Marco Antonio Pellegrini, Tommaso Traetta
In this paper, we make significant progress on a conjecture proposed by Dan Archdeacon on the existence of integer Heffter arrays whenever the necessary conditions hol…