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Sorting Short Integers

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10438313" target="_blank" >RIV/00216208:11320/21:10438313 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.4230/LIPIcs.ICALP.2021.88" target="_blank" >https://doi.org/10.4230/LIPIcs.ICALP.2021.88</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.4230/LIPIcs.ICALP.2021.88" target="_blank" >10.4230/LIPIcs.ICALP.2021.88</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Sorting Short Integers

  • Original language description

    We build boolean circuits of size ????(nm2) and depth ????(log(n) + m log(m)) for sorting n integers each of m-bits. We build also circuits that sort n integers each of m-bits according to their first k bits that are of size ????(nmk (1 + log^*(n) - log^*(m))) and depth ????(log3(n)). This improves on the results of Asharov et al. [Asharov et al., 2021] and resolves some of their open questions.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

    <a href="/en/project/GX19-27871X" target="_blank" >GX19-27871X: Efficient approximation algorithms and circuit complexity</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2021

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Proceedings of the 48th International Colloquium on Automata, Languages, and Programming, ICALP 2021

  • ISBN

    978-3-95977-195-5

  • ISSN

    1868-8969

  • e-ISSN

  • Number of pages

    17

  • Pages from-to

    1-17

  • Publisher name

    Schloss Dagstuhl -- Leibniz-Zentrum fur Informatik

  • Place of publication

    Dagstuhl, Germany

  • Event location

    Glasgow, Scotland (Virtual Conference)

  • Event date

    Jul 12, 2021

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article