RT info:eu-repo/semantics/bookPart
T1 The Poincaré Polynomial of a Linear Code
A1 Galindo, Carlos
A1 Hernando, Fernando
A1 Monserrat, Francisco
A1 Pellikaan, Ruud
K1 Poincaré Polynomial
K1 Polinomio de Poincaré
K1 Linear code
K1 Código lineal
AB We introduce the Poincar´e polynomial of a linear q-ary code and its relationto the corresponding weight enumerator. We prove that the Poincar´e polynomial is acomplete invariant of the code in the binary and ternary case and it is not when q ≥ 4.Finally we determine this polynomial for MDS codes and, by means of a recursive formula, for binary Reed-Muller codes.
PB Springer Link
SN 978-3-319-96827-8
YR 2018
FD 2018
LK http://uvadoc.uva.es/handle/10324/36079
UL http://uvadoc.uva.es/handle/10324/36079
LA eng
NO Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics (Festschrift for Antonio Campillo on the Occasion of his 65th Birthday), 2018, p. 525-535
NO Producción Científica
DS UVaDOC
RD 27-abr-2024