TY - JOUR
T1 - About some Hadamard full propelinear (2t,2,2)-codes. Rank and Kernel
AU - Bailera, I.
AU - Borges, J.
AU - Rifà, J.
PY - 2016/10/1
Y1 - 2016/10/1
N2 - © 2016 Elsevier B.V. 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).
AB - © 2016 Elsevier B.V. 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).
KW - Hadamard codes
KW - dimension of the kernel
KW - full propelinear codes
KW - rank
U2 - https://doi.org/10.1016/j.endm.2016.09.055
DO - https://doi.org/10.1016/j.endm.2016.09.055
M3 - Article
SN - 1571-0653
VL - 54
SP - 319
EP - 324
JO - Electronic Notes in Discrete Mathematics
JF - Electronic Notes in Discrete Mathematics
ER -