TY - JOUR
T1 - About a class of Hadamard propelinear codes
AU - Rifà i Coma, J.
AU - Suárez Canedo, E.
PY - 2014/1/1
Y1 - 2014/1/1
N2 - © 2014 Elsevier B.V. This article aims to explore the algebraic structure of Hadamard propelinear codes, which are not abelian in general but they have good algebraic and combinatorial properties. We construct a subclass of Hadamard propelinear codes which enlarges the family of the Hadamard translation invariant propelinear codes. Several papers have been devoted to the relations between difference sets, t-designs, cocyclic-matrices and Hadamard groups, and we present a link between them and a class of Hadamard propelinear codes, which we call full propelinear. Finally, as an exemplification, we provide a full propelinear structure for all Hadamard codes of length sixteen.
AB - © 2014 Elsevier B.V. This article aims to explore the algebraic structure of Hadamard propelinear codes, which are not abelian in general but they have good algebraic and combinatorial properties. We construct a subclass of Hadamard propelinear codes which enlarges the family of the Hadamard translation invariant propelinear codes. Several papers have been devoted to the relations between difference sets, t-designs, cocyclic-matrices and Hadamard groups, and we present a link between them and a class of Hadamard propelinear codes, which we call full propelinear. Finally, as an exemplification, we provide a full propelinear structure for all Hadamard codes of length sixteen.
KW - Full propelinear codes
KW - Hadamard group
KW - Propelinear code
UR - https://ddd.uab.cat/record/142850
U2 - https://doi.org/10.1016/j.endm.2014.08.038
DO - https://doi.org/10.1016/j.endm.2014.08.038
M3 - Article
VL - 46
SP - 289
EP - 296
JO - Electronic Notes in Discrete Mathematics
JF - Electronic Notes in Discrete Mathematics
SN - 1571-0653
ER -