Статистические характеристики весовых спектров случайных линейных кодов над $\mathrm{GF}(p)$

DOI10.4213/mvk105zbMath1476.94045OpenAlexW2790043938MaRDI QIDQ5152339

Andrey M. Zubkov, Vasiliy I. Kruglov

Publication date: 20 September 2021

Published in: Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography] (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/mvk105

zbMATH Keywords

linear codesweight spectrumrandom subcodesword of minimal weight

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (4)

Estimates for distribution of the minimal distance of a random linear code ⋮ On quantiles of minimal codeword weights of random linear codes over $\mathbf{F}_p$ ⋮ О ранге случайной двоичной матрицы с заданными весами независимых строк ⋮ О ранге случайной матрицы над простым полем, состоящей из независимых строк с заданными числами ненулевых элементов

Uses Software

• McEliece

Cites Work

• Unnamed Item
• Unnamed Item
• Moments of the support weight distribution of linear codes
• Poisson-type theorems for the number of special solutions of a random linear inclusion
• Limit theorems for the number of points of a given set covered by a random linear subspace
• Моментные характеристики весов векторов в случайных двоичных линейных кодах
• Limit theorems for the number of solutions of a system of random linear equations belonging to a given set
• On the number of solutions of a system of random linear equations in a set of vectors of special form

This page was built for publication: Статистические характеристики весовых спектров случайных линейных кодов над $\mathrm{GF}(p)$