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On the number of binary signed digit representations of a given weight

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10317294" target="_blank" >RIV/00216208:11320/15:10317294 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the number of binary signed digit representations of a given weight

  • Original language description

    Our paper is motivated by differential cryptanalysis of hash functions. We give an upper bound on the number of binary signed digit representations (BSDR's) of a given weight.Our result improves the upper bound on the number of BSDR's with minimal weightstated by Grabner and Heuberger and introduce a new recursive upper bound for the number of BSDR's of any given weight.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F09%2F0816" target="_blank" >GA201/09/0816: Algebraic Methods in the Representation Theory (Approximations, Realizations, and Constraints)</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Commentationes Mathematicae Universitatis Carolinae

  • ISSN

    0010-2628

  • e-ISSN

  • Volume of the periodical

    2015

  • Issue of the periodical within the volume

    56,3

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    20

  • Pages from-to

    287-306

  • UT code for WoS article

  • EID of the result in the Scopus database

    2-s2.0-84940393521