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math.CO2019
Nonexistence of Strong External Difference Families in Abelian Groups of Order Being Product of At Most Three Primes
Ka Hin Leung, Shuxing Li, Theo Fanuela Prabowo
Let be a product of at most three not necessarily distinct primes. We prove that there exists no strong external difference family with more than two subsets in abelian group $…
math.CO2019
A Direct Construction of Primitive Formally Dual Pairs Having Subsets with Unequal Sizes
Shuxing Li, Alexander Pott
The concept of formal duality was proposed by Cohn, Kumar and Schürmann, which reflects a remarkable symmetry among energy-minimizing periodic configurations. This formal duality w…
cs.IT2019
On the weight distribution of second order Reed-Muller codes and their relatives
Shuxing Li
The weight distribution of second order -ary Reed-Muller codes have been determined by Sloane and Berlekamp (IEEE Trans. Inform. Theory, vol. IT-16, 1970) for and by McEli…