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math.CO2025
Tilings of with optimal -codes
Yuli Tan, Junling Zhou
The metric space is the set of all words of length with weight over the alphabet , under the Hamming distance metric. A -ary const…
math.CO2025
New Nonuniform Group Divisible Designs and Mixed Steiner Systems
Tuvi Etzion, Yuli Tan, Junling Zhou
This paper considers two closely related concepts, mixed Steiner system and nonuniform group divisible design (GDD). The distinction between the two concepts is the minimum Hamming…
math.CO2025
Steiner Quadruple Systems with Minimum Colorable Derived Designs: Constructions and Applications
Yuli Tan, Junling Zhou
An -block-coloring, simply -coloring, of a Steiner triple system is a partition of the block set into color classes, each color class being a partial pa…