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A sharpening of the Johnson bound for binary linear codes and the nonexistence of linear codes with preparata parameters

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What this work says

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

inferredcites →https://doi.org/10.1016/0012-365x(72)90025-8openalex-snapshot
Nearly perfect binary codes
inferredcites →https://doi.org/10.1016/s0019-9958(68)90874-7openalex-snapshot
A class of optimum nonlinear double-error-correcting codes
inferredcites →https://doi.org/10.1016/s0924-6509(08)x7030-8openalex-snapshot
The Theory of Error-Correcting Codes
inferredcites →https://doi.org/10.1109/18.212301openalex-snapshot
An updated table of minimum-distance bounds for binary linear codes
inferredcites →https://doi.org/10.1109/18.212302openalex-snapshot
The linear programming bound for binary linear codes
inferredcites →https://doi.org/10.1109/tit.1959.1057514openalex-snapshot
On upper bounds for error detecting and error correcting codes of finite length
inferredcites →https://doi.org/10.1109/tit.1962.1057714openalex-snapshot
A new upper bound for error-correcting codes
inferredcites →https://doi.org/10.1109/tit.1987.1057356openalex-snapshot
An updated table of minimum-distance bounds for binary linear codes

What points at this work

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

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A Proof of the Welch and Niho Conjectures on Cross-Correlations of Binary m-Sequences
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On Cryptographic Propagation Criteria for Boolean Functions
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Maximal Arcs in Projective Three-Spaces and Double-Error-Correcting Cyclic Codes
inferred← citeshttps://doi.org/10.1007/978-3-642-19574-7_1openalex-snapshot
Zero-Sum Distinguishers for Iterated Permutations and Application to Keccak-f and Hamsi-256
inferred← citeshttps://doi.org/10.1007/978-94-011-4459-9_3openalex-snapshot
Error Correcting Codes, Correlation and Quantum Entanglement
inferred← citeshttps://doi.org/10.1007/bf00202271openalex-snapshot
An infinite class of counterexamples to a conjecture concerning nonlinear resilient functions
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On the propagation criterion of degree l and order k
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Binary Two-Error-Correcting Codes are Better than Quaternary
inferred← citeshttps://doi.org/10.1007/s10623-007-9157-3openalex-snapshot
Crooked binomials
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Notes on APN functions, semibiplanes and dimensional dual hyperovals
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New ring-linear codes from dualization in projective Hjelmslev geometries
inferred← citeshttps://doi.org/10.1007/s10623-015-0151-xopenalex-snapshot
Almost perfect and planar functions
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On large Sidon sets
inferred← citeshttps://doi.org/10.1016/s0195-6698(02)00116-6openalex-snapshot
Codes, graphs, and schemes from nonlinear functions
inferred← citeshttps://doi.org/10.1023/a:1008207230165openalex-snapshot
Split Orthogonal Arrays and Maximum Independent Resilient Systems of Functions
inferred← citeshttps://doi.org/10.1023/a:1008306605740openalex-snapshot
inferred← citeshttps://doi.org/10.1023/a:1008344232130openalex-snapshot
Codes, Bent Functions and Permutations Suitable For DES-like Cryptosystems
inferred← citeshttps://doi.org/10.1090/conm/642/12886openalex-snapshot
Equivalence Classes and Structures of Constacyclic Codes Over Finite Fields
inferred← citeshttps://doi.org/10.1109/18.212302openalex-snapshot
The linear programming bound for binary linear codes
inferred← citeshttps://doi.org/10.1109/18.312154openalex-snapshot
The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
inferred← citeshttps://doi.org/10.1109/18.335936openalex-snapshot
An improvement of the Van Wee bound for binary linear covering codes
inferred← citeshttps://doi.org/10.1109/18.370138openalex-snapshot
Quaternary quadratic residue codes and unimodular lattices
inferred← citeshttps://doi.org/10.1109/itw.1998.706485openalex-snapshot
On cryptographic propagation criteria for Boolean functions
inferred← citeshttps://doi.org/10.1109/tit.2012.2191389openalex-snapshot
Minimum Weights and Weight Enumerators of $\BBZ_{4}$-Linear Quadratic Residue Codes
inferred← citeshttps://doi.org/10.1109/tit.2016.2612654openalex-snapshot
New Upper Bounds on Binary Linear Codes and a $ {\mathbb Z}_{4}$ -Code With a Better-Than-Linear Gray Image
inferred← citeshttps://doi.org/10.1109/tit.2025.3590510openalex-snapshot
The b-Symbol Hamming Weight Spectra of Quaternary Kerdock Codes and Related Codes
inferred← citeshttps://doi.org/10.2969/aspm/02410137openalex-snapshot
Covers of Complete Graphs
inferred← citeshttps://doi.org/10.3934/amc.2009.3.59openalex-snapshot
A new almost perfect nonlinear function which is not quadratic
inferred← citeshttps://doi.org/10.3934/amc.2023054openalex-snapshot
Sidon sets, sum-free sets and linear codes
inferred← citeshttps://doi.org/10.48550/arxiv.math/0207208openalex-snapshot
The Z_4-Linearity of Kerdock, Preparata, Goethals and Related Codes
inferred← citeshttps://doi.org/10.56824/vujs.2019nt40openalex-snapshot
Algebraic structure of cyclic and negacyclic codes over a finite chain ring alphabet and applications
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