scientific article; zbMATH DE number 599949
From MaRDI portal
Publication:4299405
zbMath0805.11048MaRDI QIDQ4299405
Publication date: 4 July 1994
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
integral latticesmodular formstheta functionsLeech latticeroot latticesalgebraic coding theoryself-dual linear code24-dimensional even unimodular latticesLee weight polynomials
Linear codes (general theory) (94B05) Holomorphic modular forms of integral weight (11F11) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to information and communication theory (94-01) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)
Related Items
Self-dual codes over $\mathbb {Z}_{4}$ and half-integral weight modular forms ⋮ Extremal quasi-cyclic self-dual codes over finite fields ⋮ Rational double points on supersingular 𝐾3 surfaces ⋮ Construction of Jacobi forms from certain combinatorial polynomials ⋮ Unnamed Item ⋮ Weil representations associated with finite quadratic modules ⋮ Spherical designs and modular forms of the \(D_4\) lattice ⋮ Construction of quasi-cyclic self-dual codes ⋮ Construction of quasi-cyclic self-dual codes over finite fields ⋮ Type II codes over \(\mathbb F_2+ u\mathbb F_2\) and applications to Hermitian modular forms ⋮ CODES, S-STRUCTURES, AND EXCEPTIONAL LIE ALGEBRAS ⋮ On the maximal number of du val singularities for a \(K3\) surface ⋮ Broué-Enguehard maps and Atkin-Lehner involutions ⋮ Lattice Codes for the Gaussian Wiretap Channel ⋮ Symplectic automorphisms of prime order on \(K3\) surfaces ⋮ Rankin-Cohen brackets and invariant theory ⋮ Codes over \(\mathbb F_4\), Jacobi forms and Hilbert-Siegel modular forms over \(\mathbb Q(\sqrt 5)\) ⋮ Note on E-polynomials associated to \(\mathbb{Z}_4\)-codes ⋮ On graphs with smallest eigenvalue at least \(-3\) and their lattices ⋮ On the quantum invariants for the spherical Seifert manifolds ⋮ Recent progress on graphs with fixed smallest adjacency eigenvalue: a survey ⋮ SHELLS OF SELFDUAL LATTICES VIEWED AS SPHERICAL DESIGNS ⋮ Coloring the Voronoi tessellation of lattices ⋮ On the ring of simultaneous invariants for the Gleason-MacWilliams group ⋮ Ternary codes and Jacobi forms ⋮ Duality for (skew-)polynomial codes and a variation of Construction A ⋮ Local weight enumerators for binary self-dual codes ⋮ Reflection groups of Lorentzian lattices ⋮ Dihedral coverings of algebraic surfaces and their application ⋮ Séries de croissance et polynômes d'Ehrhart associés aux réseaux de racines. (Growth series and Ehrhart polynomials associated to root lattices) ⋮ Modular invariance property of association schemes, type II codes over finite rings and finite abelian groups and reminiscences of François Jaeger (a survey) ⋮ Positivity of eta products -- a certain case of K. Saito's conjecture ⋮ Zonal functions for the unitary groups and applications to Hermitian lattices.