INTEGRATED CHARACTERISTIC BASE OF MODULAR NUMBER SYSTEMS

The problem of development of an integrated characteristic base of a modular number system defined on the ranges of non-negative integers is studied. A mechanism of interval-modular forms of integer numbers is applied to solve this problem. Interval index characteristics – the interval index and the...

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Main Authors: A. A. Kolyada, A. F. Chernyavsky
Format: Article
Language:Russian
Published: The United Institute of Informatics Problems of the National Academy of Sciences of Belarus 2016-09-01
Series:Informatika
Online Access:https://inf.grid.by/jour/article/view/28
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author A. A. Kolyada
A. F. Chernyavsky
author_facet A. A. Kolyada
A. F. Chernyavsky
author_sort A. A. Kolyada
collection DOAJ
description The problem of development of an integrated characteristic base of a modular number system defined on the ranges of non-negative integers is studied. A mechanism of interval-modular forms of integer numbers is applied to solve this problem. Interval index characteristics – the interval index and the main interval index - play a key role in this mechanism. Priority of these characteristics is explained by their essential advantages over known integrated characteristics of a modular code when optimizing algorithms of non-modular operations.
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spelling doaj.art-8d2a86e98ad04938b72e067c5a2b57712023-03-13T08:32:16ZrusThe United Institute of Informatics Problems of the National Academy of Sciences of BelarusInformatika1816-03012016-09-010110611827INTEGRATED CHARACTERISTIC BASE OF MODULAR NUMBER SYSTEMSA. A. Kolyada0A. F. Chernyavsky1Институт прикладных физических проблемБелорусский государственный университетThe problem of development of an integrated characteristic base of a modular number system defined on the ranges of non-negative integers is studied. A mechanism of interval-modular forms of integer numbers is applied to solve this problem. Interval index characteristics – the interval index and the main interval index - play a key role in this mechanism. Priority of these characteristics is explained by their essential advantages over known integrated characteristics of a modular code when optimizing algorithms of non-modular operations.https://inf.grid.by/jour/article/view/28
spellingShingle A. A. Kolyada
A. F. Chernyavsky
INTEGRATED CHARACTERISTIC BASE OF MODULAR NUMBER SYSTEMS
Informatika
title INTEGRATED CHARACTERISTIC BASE OF MODULAR NUMBER SYSTEMS
title_full INTEGRATED CHARACTERISTIC BASE OF MODULAR NUMBER SYSTEMS
title_fullStr INTEGRATED CHARACTERISTIC BASE OF MODULAR NUMBER SYSTEMS
title_full_unstemmed INTEGRATED CHARACTERISTIC BASE OF MODULAR NUMBER SYSTEMS
title_short INTEGRATED CHARACTERISTIC BASE OF MODULAR NUMBER SYSTEMS
title_sort integrated characteristic base of modular number systems
url https://inf.grid.by/jour/article/view/28
work_keys_str_mv AT aakolyada integratedcharacteristicbaseofmodularnumbersystems
AT afchernyavsky integratedcharacteristicbaseofmodularnumbersystems