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Cube-tilings of ℝn and nonlinear codesand nonlinear codes

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-642-58575-3openalex-snapshot

Introduction to Coding Theory

inferredcites →https://doi.org/10.1007/978-3-662-07998-0openalex-snapshot

Introduction to coding theory

inferredcites →https://doi.org/10.1007/978-3-663-16055-7openalex-snapshot

Diophantische Approximationen

inferredcites →https://doi.org/10.1007/bf01180974openalex-snapshot

�ber einfache und mehrfache Bedeckung desn-dimensionalen Raumes mit einem W�rfelgitter

inferredcites →https://doi.org/10.1007/bf01181421openalex-snapshot

�ber l�ckenlose Ausf�llung desn-dimensionalen Raumes durch kongruente W�rfel

inferredcites →https://doi.org/10.1007/bf01181436openalex-snapshot

�ber l�ckenlose Ausf�llung desn-dimensionalen Raumes durch kongruente W�rfel. II

inferredcites →https://doi.org/10.1007/bf01848388openalex-snapshot

A reduction of Keller's conjecture

inferredcites →https://doi.org/10.1007/bf01946848openalex-snapshot

A combinatorial approach for Keller's conjecture

inferredcites →https://doi.org/10.1016/0096-0551(80)90011-9openalex-snapshot

Introduction to automata theory, languages, and computation

inferredcites →https://doi.org/10.1016/0378-4754(81)90068-9openalex-snapshot

Introduction to automata theory, languages and computation

inferredcites →https://doi.org/10.1016/s0924-6509(08)x7030-8openalex-snapshot

The Theory of Error-Correcting Codes

inferredcites →https://doi.org/10.1080/00029890.1974.11993587openalex-snapshot

Algebraic Tiling

inferredcites →https://doi.org/10.1090/s0273-0979-1992-00318-xopenalex-snapshot

Keller’s cube-tiling conjecture is false in high dimensions

inferredcites →https://doi.org/10.1109/tit.1979.1056056openalex-snapshot

Review of 'The Theory of Error-Correcting Codes' (MacWilliams, F.J. and Sloane, N.J.A.; 1978)

inferredcites →https://doi.org/10.1145/300307.1040360openalex-snapshot

Elements of the Theory of Computation

inferredcites →https://doi.org/10.1515/crll.1930.163.231openalex-snapshot

Über die lückenlose Erfüllung des Raumes mit Würfeln.

inferredcites →https://doi.org/10.2307/2322591openalex-snapshot

Introduction to Coding Theory.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/s00454-002-2801-9openalex-snapshot

A Cube Tiling of Dimension Eight with No Facesharing

inferred← citeshttps://doi.org/10.1007/s00454-007-9005-2openalex-snapshot

Polyboxes, Cube Tilings and Rigidity

inferred← citeshttps://doi.org/10.1007/s00454-012-9438-0openalex-snapshot

The Structure of Cube Tilings Under Symmetry Conditions

inferred← citeshttps://doi.org/10.1007/s00454-022-00389-6openalex-snapshot

Gluing and Cutting Cube Tiling Codes in Dimension Six

inferred← citeshttps://doi.org/10.1016/j.disc.2024.113971openalex-snapshot

A note on a flip-connected class of generalized domino tilings of the box [0,2]

inferred← citeshttps://doi.org/10.1016/j.ejc.2006.01.008openalex-snapshot

Cube packings, second moment and holes

inferred← citeshttps://doi.org/10.1016/j.ejc.2012.01.006openalex-snapshot

Rigidity and the chessboard theorem for cube packings

inferred← citeshttps://doi.org/10.1016/j.ejc.2014.02.005openalex-snapshot

Partitions and balanced matchings of an n -dimensional cube

inferred← citeshttps://doi.org/10.1016/j.ejc.2020.103168openalex-snapshot

On the structure of cube tiling codes

inferred← citeshttps://doi.org/10.1016/j.jcta.2012.06.007openalex-snapshot

On the structure of cube tilings of R3 and R4

inferred← citeshttps://doi.org/10.1080/00150517.2014.12427880openalex-snapshot

Some Binomial Identities Arising From a Partition of an n -Dimensional Cube

inferred← citeshttps://doi.org/10.1090/s0025-5718-06-01861-8openalex-snapshot

Iterated function systems, Ruelle operators, and invariant projective measures

inferred← citeshttps://doi.org/10.1090/s0273-0979-05-01050-5openalex-snapshot

What is known about unit cubes

inferred← citeshttps://doi.org/10.1103/physreva.70.022309openalex-snapshot

Distinguishability of complete and unextendible product bases

inferred← citeshttps://doi.org/10.1109/tit.2002.805086openalex-snapshot

A Zador-like formula for quantizers based on periodic tilings

inferred← citeshttps://doi.org/10.1515/advgeom-2017-0004openalex-snapshot

Rigid polyboxes and keller's conjecture

inferred← citeshttps://doi.org/10.1515/advgeom-2022-0001openalex-snapshot

Towards resolving Keller’s cube tiling conjecture in dimension seven

inferred← citeshttps://doi.org/10.37236/11862openalex-snapshot

Irreducible Subcube Partitions

inferred← citeshttps://doi.org/10.37236/2251openalex-snapshot

The Coin Exchange Problem and the Structure of Cube Tilings

inferred← citeshttps://doi.org/10.48550/arxiv.quant-ph/0008055openalex-snapshot

Product Bases in Quantum Information Theory

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