Circulant Hadamard matrices as HFP-codes of type $C_{4n}\times C_2$

Abstract

We prove that a circulant Hadamard code of length $4n$ can always be seen as an HFP-code (Hadamard full propelinear code) of type $C_{4n}\times C_2$, where $C_2=⟨u⟩$ or the same, as a cocyclic Hadamard code. We compute the rank and dimension of the kernel of these kind of codes.

References in corpus (1)

• Hadamard Full Propelinear Codes of type Q. Rank and Kernel

Cited by in corpus (1)

• Hadamard full propelinear codes with associated group $C_{2t}\times C_2$; rank and kernel