AbstractThis paper studies the relationship between error-correcting codes over GF(4) and complex lattices (more precisely, Z[ω]-modules in Cn, where ω = e2πi3). The theta-functions of self-dual lattices are characterized. Two general methods are presented for constructing lattices from codes. Several examples are given, including a new lattice sphere-packing in R36
We show that commutative group spherical codes in R(n), as introduced by D. Slepian, are directly re...
AbstractWe study self-dual codes over certain finite rings which are quotients of quadratic imaginar...
We show that commutative group spherical codes in R(n), as introduced by D. Slepian, are directly re...
AbstractThis paper studies the relationship between error-correcting codes over GF(4) and complex la...
AbstractWe define a pair of constructions of d-dimensional Z-lattices for d = 0 mod 24 from particul...
AbstractWe define a pair of constructions of d-dimensional Z-lattices for d = 0 mod 24 from particul...
AbstractModular hermitian lattices over Z[i]and, in particular, unimodular lattices over Z[eπi4] giv...
AbstractThe old problem of counting lattice points in euclidean spheres leads to use Jacobi theta fu...
AbstractIn this paper we construct new extremal and optimal unimodular lattices in dimensions 36, 38...
AbstractWe study self-dual codes over certain finite rings which are quotients of quadratic imaginar...
The idea behind the coset code construction (see [G.D. Forney, Coset Codes, IEEE Transactions on Inf...
The idea behind the coset code construction (see [G.D. Forney, Coset Codes, IEEE Transactions on Inf...
AbstractWe use some basic results and ideas from the integral geometry to study certain properties o...
The idea behind the coset code construction (see [G.D. Forney, Coset Codes, IEEE Transactions on Inf...
We show that commutative group spherical codes in R(n), as introduced by D. Slepian, are directly re...
We show that commutative group spherical codes in R(n), as introduced by D. Slepian, are directly re...
AbstractWe study self-dual codes over certain finite rings which are quotients of quadratic imaginar...
We show that commutative group spherical codes in R(n), as introduced by D. Slepian, are directly re...
AbstractThis paper studies the relationship between error-correcting codes over GF(4) and complex la...
AbstractWe define a pair of constructions of d-dimensional Z-lattices for d = 0 mod 24 from particul...
AbstractWe define a pair of constructions of d-dimensional Z-lattices for d = 0 mod 24 from particul...
AbstractModular hermitian lattices over Z[i]and, in particular, unimodular lattices over Z[eπi4] giv...
AbstractThe old problem of counting lattice points in euclidean spheres leads to use Jacobi theta fu...
AbstractIn this paper we construct new extremal and optimal unimodular lattices in dimensions 36, 38...
AbstractWe study self-dual codes over certain finite rings which are quotients of quadratic imaginar...
The idea behind the coset code construction (see [G.D. Forney, Coset Codes, IEEE Transactions on Inf...
The idea behind the coset code construction (see [G.D. Forney, Coset Codes, IEEE Transactions on Inf...
AbstractWe use some basic results and ideas from the integral geometry to study certain properties o...
The idea behind the coset code construction (see [G.D. Forney, Coset Codes, IEEE Transactions on Inf...
We show that commutative group spherical codes in R(n), as introduced by D. Slepian, are directly re...
We show that commutative group spherical codes in R(n), as introduced by D. Slepian, are directly re...
AbstractWe study self-dual codes over certain finite rings which are quotients of quadratic imaginar...
We show that commutative group spherical codes in R(n), as introduced by D. Slepian, are directly re...
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