A Testing Set for Preparata-Like Codes Full article
| Journal |
Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797 |
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| Output data | Year: 2023, Volume: 17, Number: 2, Pages: 427-432 Pages count : 6 DOI: 10.1134/S1990478923020205 | ||||
| Tags | Hamming graph, Preparata-like code, perfect code, testing set, Krawtchouk polynomial | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0017 |
Abstract:
The reconstruction of an object of a given class by its intersection with some (socalled testing) set is studied. For the class, we consider Preparata-like codes, i.e., nonlinear codes of length n = 22m − 1, m = 2,3,..., with code distance 5 and twice the size of a linear code of the same length and distance. Conditions are determined under which the union of a few concentric spheres forms a testing set for Preparata-like codes.
Cite:
Vasil’eva A.Y.
A Testing Set for Preparata-Like Codes
Journal of Applied and Industrial Mathematics. 2023. V.17. N2. P.427-432. DOI: 10.1134/S1990478923020205 Scopus РИНЦ OpenAlex
A Testing Set for Preparata-Like Codes
Journal of Applied and Industrial Mathematics. 2023. V.17. N2. P.427-432. DOI: 10.1134/S1990478923020205 Scopus РИНЦ OpenAlex
Original:
Васильева А.Ю.
О тестирующем множестве для кодов типа Препараты
Дискретный анализ и исследование операций. 2023. Т.30. №2. С.5-14. DOI: 10.33048/daio.2023.30.753 РИНЦ
О тестирующем множестве для кодов типа Препараты
Дискретный анализ и исследование операций. 2023. Т.30. №2. С.5-14. DOI: 10.33048/daio.2023.30.753 РИНЦ
Dates:
| Submitted: | Sep 1, 2022 |
| Accepted: | Sep 16, 2022 |
| Published online: | Aug 7, 2023 |
| Published print: | Oct 20, 2023 |
Identifiers:
| Scopus: | 2-s2.0-85167515109 |
| Elibrary: | 62281472 |
| OpenAlex: | W4385640119 |
Citing:
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