About some Hadamard full propelinear (2t,2,2)-codes. Rank and Kernel

A new subclass of Hadamard full propelinear codes is introduced in this article. We define the HFP(2t,2,2)-codes as codes with a group structure isomorphic to C2t×C22. Concepts such as rank and dimension of the kernel are studied, and bounds for them are established. For t odd, r=4t−1 and k=1. For t even, r≤2t and k≠2, and r=2t if and only if t≢0 (mod 4).