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math.CO2023
Embeddable partial Hadamard matrices related to the projective planes
Hadi Kharaghani, Sho Suda, Yash Shamsundar Khobragade
The existence of a projective plane of order , where is a prime power, is shown to be equivalent to the existence of a balancedly multi-splittable embeddable…
math.CO2023
On optimal constant weight codes derived from -circulant balanced generalized weighing matrices
Hadi Kharaghani, Thomas Pender, Vladimir D. Tonchev
A family of -circulant balanced weighing matrices with classical parameters is used for the construction of optimal constant weight codes over an alphabet of size and leng…
math.CO2023
Ternary extremal four-negacirculant self-dual codes
Masaaki Harada, Keita Ishizuka, Hadi Kharaghani
In this note, we give basic properties of ternary four-negacirculant self-dual codes. By exhaustive computer search based on the properties, we complete a classification of ternary…