Construction of new extremal unimodular lattices

DOI10.1016/j.ejc.2003.07.005zbMath1075.11050OpenAlexW2073531109MaRDI QIDQ1826971

Philippe Gaborit

Publication date: 6 August 2004

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2003.07.005

zbMATH Keywords

self-dual codesoptimal unimodular latticesextremal unimodular lattices

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Lattices and convex bodies (number-theoretic aspects) (11H06) Relations with coding theory (11H71)

Related Items (12)

Extremal ternary self-dual codes constructed from negacirculant matrices ⋮ An even extremal lattice of rank 64 ⋮ The codes and the lattices of Hadamard matrices ⋮ Experimental constructions of self-dual codes ⋮ Construction and enumeration of self-orthogonal and self-dual codes over Galois rings of even characteristic ⋮ Two matrix-based lattice construction techniques ⋮ A recursive method for the construction and enumeration of self-orthogonal and self-dual codes over the quasi-Galois ring \(\mathbb{F}_{2^r}[u/<u^e>\)] ⋮ Mass formulae for Euclidean self-orthogonal and self-dual codes over finite commutative chain rings ⋮ Extremal unimodular lattices in dimension 36 ⋮ On the classification and enumeration of self-dual codes ⋮ EISENSTEIN LATTICES, GALOIS RINGS AND QUATERNARY CODES ⋮ Self-dual codes over \(\mathbb{F}_5\) and \(s\)-extremal unimodular lattices

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