Euclidean lattices: theory and applications
DOI10.46298/cm.11596MaRDI QIDQ6594650
Lenny Fukshansky, Camilla Hollanti
Publication date: 28 August 2024
Published in: Communications in Mathematics (Search for Journal in Brave)
cryptographyquadratic formslatticescoding theorygeometry of numbersDiophantine approximationssphere packing
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Lattices and convex bodies (number-theoretic aspects) (11H06) Lattice points in specified regions (11P21) Diophantine inequalities (11J25) Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) to coding theory (94B75)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the ring-LWE and polynomial-LWE problems
- The sphere packing problem in dimension 8
- The sphere packing problem in dimension \(24\)
- Über die dichteste Kugellagerung
- Lattice Codes for the Wiretap Gaussian Channel: Construction and Analysis
- Semantically Secure Lattice Codes for the Gaussian Wiretap Channel
- ON WELL-ROUNDED IDEAL LATTICES
- An Introduction to the Geometry of Numbers
- Well-Rounded Lattices: Towards Optimal Coset Codes for Gaussian and Fading Wiretap Channels
- On the number of perfect lattices
- Computing the Continuous Discretely
- On lattices, learning with errors, random linear codes, and cryptography
- Geometry of continued fractions
- Multidimensional integer trigonometry
- On triviality of uniform Diophantine exponents of lattices
- Minkowski's successive minima in convex and discrete geometry
- On the number of lattice points in a ball
- Universal quadratic forms and indecomposables in number fields: a survey
- Trace-based cryptanalysis of cyclotomic \(R_{q, 0} \times R_q\)-PLWE for the non-split case
- Perfect copositive matrices
- The integer point transform as a complete invariant
- On lattice constructions \(D\) and \(D^\prime\) from \(q\)-ary linear codes
This page was built for publication: Euclidean lattices: theory and applications
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6594650)