Algebraic constructions of densest lattices
From MaRDI portal
Publication:2341309
DOI10.1016/j.jalgebra.2014.12.044zbMath1358.11076OpenAlexW2047823247MaRDI QIDQ2341309
Grasiele C. Jorge, Sueli I. R. Costa, Antonio Aparecido de Andrade, João Eloir Strapasson
Publication date: 24 April 2015
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.12.044
Cryptography (94A60) Lattice packing and covering (number-theoretic aspects) (11H31) Combinatorial codes (94B25)
Related Items (7)
Rotated \(A_n \)-lattice codes of full diversity ⋮ Unnamed Item ⋮ An upper bound on the covering radius of the logarithmic lattice for cyclotomic number fields ⋮ Trace form associated to cyclic number fields of ramified odd prime degree ⋮ Algebraic construction of lattices via maximal quaternion orders ⋮ Algebraic constructions of rotated unimodular lattices and direct sum of Barnes–Wall lattices ⋮ Algebraic lattices via polynomial rings
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rotated \(D_n\)-lattices
- Constructions of algebraic lattices
- On the Euclidean minimum of some real number fields
- Optimality and uniqueness of the Leech lattice among lattices
- A note on optimal unimodular lattices
- Determinants of integral ideal lattices and automorphisms of given characteristic polynomial
- On rotated \(D_n\)-lattices constructed via totally real number fields
- Ideal lattices over totally real number fields and Euclidean minima
- Improved Methods for Calculating Vectors of Short Length in a Lattice, Including a Complexity Analysis
- Algebraic Number Theory and Code Design for Rayleigh Fading Channels
- New Algebraic Constructions of Rotated<tex>$ mmb Z^n$</tex>-Lattice Constellations for the Rayleigh Fading Channel
- Extreme forms and cyclotomy
- A cyclotomic construction for Leech's lattice
- A universal lattice code decoder for fading channels
- Good lattice constellations for both Rayleigh fading and Gaussian channels
This page was built for publication: Algebraic constructions of densest lattices