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Reed-Muller codes associated to projective algebraic varieties
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Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-1-4613-8994-1_4openalex-snapshot
Families of Codes with Few Distinct Weights from Singular and Non-Singular Hermitian Varieties and Quadrics in Projective Geometries and Hadamard Difference Sets and Designs Associated with Two-Weight Codes
inferredcites →https://doi.org/10.1007/bfb0080437openalex-snapshot
Equations over Finite Fields An Elementary Approach
inferredcites →https://doi.org/10.1016/0012-365x(75)90017-5openalex-snapshot
Codes projectifs a deux ou trois poids associfs aux hyperquadriques d'une geometrie finie
inferredcites →https://doi.org/10.1016/0012-365x(90)90155-bopenalex-snapshot
The parameters of projective Reed–Müller codes
inferredcites →https://doi.org/10.1016/s0019-9958(70)90214-7openalex-snapshot
On generalized ReedMuller codes and their relatives
inferredcites →https://doi.org/10.1017/s0305004100026645openalex-snapshot
Quadrics in finite geometries
inferredcites →https://doi.org/10.1093/oso/9780198502951.001.0001openalex-snapshot
Projective Geometries over Finite Fields
inferredcites →https://doi.org/10.1109/tit.1968.1054127openalex-snapshot
New generalizations of the Reed-Muller codes--I: Primitive codes
inferredcites →https://doi.org/10.1109/tit.1986.1057184openalex-snapshot
The geometry of quadrics and correlations of sequences (Corresp.)
inferredcites →https://doi.org/10.1112/blms/13.2.179openalex-snapshot
PROJECTIVE GEOMETRIES OVER FINITE FIELDS
inferredcites →https://doi.org/10.4153/cjm-1962-010-2openalex-snapshot
Some Results on Quadrics in Finite Projective Geometry Based on Galois Fields
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1006/ffta.1998.0232openalex-snapshot
Zeros of a Pair of Quadratic Forms Defined over a Finite Field
inferred← citeshttps://doi.org/10.1007/978-3-319-63931-4_2openalex-snapshot
Hypersurfaces in Weighted Projective Spaces Over Finite Fields with Applications to Coding Theory
inferred← citeshttps://doi.org/10.1007/s00200-009-0093-5openalex-snapshot
Minimum distance of relative Reed–Muller codes
inferred← citeshttps://doi.org/10.1007/s10623-012-9692-4openalex-snapshot
Evaluation codes from smooth quadric surfaces and twisted Segre varieties
inferred← citeshttps://doi.org/10.1007/s10623-024-01431-9openalex-snapshot
On the number of rational points of Artin–Schreier’s curves and hypersurfaces
inferred← citeshttps://doi.org/10.1007/s10801-024-01372-5openalex-snapshot
Waring identifiable subspaces over finite fields
inferred← citeshttps://doi.org/10.1007/s13370-026-01475-1openalex-snapshot
AG codes on abelian schemes and quadric fibrations over a curve
inferred← citeshttps://doi.org/10.1007/s40879-021-00472-xopenalex-snapshot
Counting plane cubic curves over finite fields with a prescribed number of rational intersection points
inferred← citeshttps://doi.org/10.1016/j.ffa.2006.07.001openalex-snapshot
Codes defined by forms of degree 2 on Hermitian surfaces and Sørensen's conjecture
inferred← citeshttps://doi.org/10.1016/j.ffa.2011.02.007openalex-snapshot
Construction of rational surfaces yielding good codes
inferred← citeshttps://doi.org/10.1016/j.jalgebra.2011.09.030openalex-snapshot
The dual minimum distance of arbitrary-dimensional algebraic–geometric codes
inferred← citeshttps://doi.org/10.1016/j.jpaa.2009.03.009openalex-snapshot
Sums of residues on algebraic surfaces and application to coding theory
inferred← citeshttps://doi.org/10.1090/conm/722/14535openalex-snapshot
Weight enumerators of Reed-Muller codes from cubic curves and their duals
inferred← citeshttps://doi.org/10.1090/proc/16129openalex-snapshot
On maximal and minimal hypersurfaces of Fermat type
inferred← citeshttps://doi.org/10.1109/18.476241openalex-snapshot
Improved geometric Goppa codes. I. Basic theory
inferred← citeshttps://doi.org/10.1109/cwit.2015.7255139openalex-snapshot
Higher dimensional varieties in coding theory
inferred← citeshttps://doi.org/10.1109/tit.2007.913450openalex-snapshot
Codes Defined by Forms of Degree $2$ on Quadric Surfaces
inferred← citeshttps://doi.org/10.1142/9789812794017_0007openalex-snapshot
Algebraic Geometry Codes from Higher Dimensional Varieties
inferred← citeshttps://doi.org/10.1142/s0219498825503487openalex-snapshot
Algebraic invariants of codes on weighted projective planes
inferred← citeshttps://doi.org/10.1515/9783110811056.77openalex-snapshot
Number of points of plane sections and linear codes defined on algebraic varieties
inferred← citeshttps://doi.org/10.3934/amc.2016039openalex-snapshot
A note on diagonal and Hermitian hypersurfaces
inferred← citeshttps://doi.org/10.4213/rm9814openalex-snapshot
Многообразия над конечными полями: количественная теория
inferred← citeshttps://doi.org/10.48550/arxiv.1411.3706openalex-snapshot
A note on diagonal and Hermitian surfaces
inferred← citeshttps://doi.org/10.5802/jtnb.752openalex-snapshot
Differential approach for the study of duals of algebraic-geometric codes on surfaces
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