Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Vopr. Kriptogr.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2012, Volume 3, Issue 1, Pages 71–95
DOI: https://doi.org/10.4213/mvk49 (Mi mvk49) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Natural metrics and their properties. P. 2. Hamming-type metrics

B. A. Pogorelova, M. A. Pudovkinab

a Academy of Cryptography of Russian Federation, Moscow
b National Nuclear Research University, Moscow
Full-text PDF (368 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mvk49
Abstract: Natutal overmetrics and submetrics “nearest” to the Hamming metrics are described, analogues of the Hamming metrics are constructed. Natural metrics on the vector spaces with isometry group containing the shift group are considered. By means of $(n+1)$-valued submetrics of $2^n$-valued overmetrics of the Hamming metrics a class of codes which are equivalent to a code with the Hamming metrics relatively to the linear group.
Key words: discrete spaces, Hamming metrics, submetrics, overmetrics.
Received 22.IV.2010
Document Type: Article
UDC: 519.719.1
Language: Russian
Citation: B. A. Pogorelov, M. A. Pudovkina, “Natural metrics and their properties. P. 2. Hamming-type metrics”, Mat. Vopr. Kriptogr., 3:1 (2012), 71–95
Citation in format AMSBIB
\Bibitem{PogPud12}
\by B.~A.~Pogorelov, M.~A.~Pudovkina
\paper Natural metrics and their properties. P.~2. Hamming-type metrics
\jour Mat. Vopr. Kriptogr.
\yr 2012
\vol 3
\issue 1
\pages 71--95
\mathnet{http://mi.mathnet.ru/mvk49}
\crossref{https://doi.org/10.4213/mvk49}
Linking options:
  • https://www.mathnet.ru/eng/mvk49
  • https://doi.org/10.4213/mvk49
  • https://www.mathnet.ru/eng/mvk/v3/i1/p71
    Cycle of papers
    This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические вопросы криптографии
    Statistics & downloads:
    Abstract page:745
    Full-text PDF :395
    References:66
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024