4 papers
math.CO2025
Forbidden multipliers in abelian difference sets
Niklas Miller
We make the observation that certain group automorphisms that fix a large subgroup of an abelian group cannot be multipliers in any non-trivial abelian difference sets, with the si…
math.MG2025
On the kissing number of the cross-polytope
Niklas Miller
A new upper bound for the translative kissing number of the -dimensional cross-polytope is proved, improving on Hadwiger's bound $κ_T(K_n…
math.CO2024
On the singularity probability of random circulant Bernoulli matrices
Niklas Miller
A complete characterization of the asymptotic singularity probability of random circulant Bernoulli matrices is given for all values of the probability parameter.
math.NT2024
A Design Criterion for the Rayleigh Fading Wiretap Channel Based on -norm Theta Functions
Niklas Miller
We show that the correct decoding probability of an eavesdropper and error probability of a legitimate receiver in a Rayleigh fading wiretap channel with lattice coset coding are b…