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A Testing Set for Preparata-Like Codes. / Vasil’eva, A. Yu.

In: Journal of Applied and Industrial Mathematics, Vol. 17, No. 2, 06.2023, p. 427-432.

Research output: Contribution to journal › Article › peer-review

Harvard

Vasil’eva, AY 2023, 'A Testing Set for Preparata-Like Codes', Journal of Applied and Industrial Mathematics, vol. 17, no. 2, pp. 427-432. https://doi.org/10.1134/S1990478923020205

APA

Vasil’eva, A. Y. (2023). A Testing Set for Preparata-Like Codes. Journal of Applied and Industrial Mathematics, 17(2), 427-432. https://doi.org/10.1134/S1990478923020205

Vancouver

Vasil’eva AY. A Testing Set for Preparata-Like Codes. Journal of Applied and Industrial Mathematics. 2023 Jun;17(2):427-432. doi: 10.1134/S1990478923020205

Author

Vasil’eva, A. Yu. / A Testing Set for Preparata-Like Codes. In: Journal of Applied and Industrial Mathematics. 2023 ; Vol. 17, No. 2. pp. 427-432.

BibTeX

@article{bcf50bcde2e24670846815040ee4696c,
title = "A Testing Set for Preparata-Like Codes",
abstract = "The reconstruction of an object of a given class by its intersection with some (so-calledtesting) set is studied. For the class, we consider Preparata-like codes, i.e., nonlinear codes oflength (Formula presented.), with code distance 5 and twice the size of a linear code of the same lengthand distance. Conditions are determined under which the union of a few concentric spheres formsa testing set for Preparata-like codes.",
keywords = "Hamming graph, Krawtchouk polynomial, Preparata-like code, perfect code, testing set",
author = "Vasil{\textquoteright}eva, {A. Yu}",
note = "This work was carried out within the framework of the state contract of the Sobolev Institute of Mathematics, project no. FWNF–2022–0017. Публикация для корректировки.",
year = "2023",
month = jun,
doi = "10.1134/S1990478923020205",
language = "English",
volume = "17",
pages = "427--432",
journal = "Journal of Applied and Industrial Mathematics",
issn = "1990-4789",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "2",

}

RIS

TY - JOUR

T1 - A Testing Set for Preparata-Like Codes

AU - Vasil’eva, A. Yu

N1 - This work was carried out within the framework of the state contract of the Sobolev Institute of Mathematics, project no. FWNF–2022–0017. Публикация для корректировки.

PY - 2023/6

Y1 - 2023/6

N2 - The reconstruction of an object of a given class by its intersection with some (so-calledtesting) set is studied. For the class, we consider Preparata-like codes, i.e., nonlinear codes oflength (Formula presented.), with code distance 5 and twice the size of a linear code of the same lengthand distance. Conditions are determined under which the union of a few concentric spheres formsa testing set for Preparata-like codes.

AB - The reconstruction of an object of a given class by its intersection with some (so-calledtesting) set is studied. For the class, we consider Preparata-like codes, i.e., nonlinear codes oflength (Formula presented.), with code distance 5 and twice the size of a linear code of the same lengthand distance. Conditions are determined under which the union of a few concentric spheres formsa testing set for Preparata-like codes.

KW - Hamming graph

KW - Krawtchouk polynomial

KW - Preparata-like code

KW - perfect code

KW - testing set

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85167515109&origin=inward&txGid=8fd84f4db4325b2fe7ce552e94937e76

UR - https://www.mendeley.com/catalogue/51ee353e-5054-3c0c-97ae-046ac7e8fbd4/

U2 - 10.1134/S1990478923020205

DO - 10.1134/S1990478923020205

M3 - Article

VL - 17

SP - 427

EP - 432

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 2

ER -

ID: 59255974