ELECTRONIC CALCULATING DEVICE FOR CONVERTING A RESIDUE NUMBERS SYSTEM REPRESENTATION TO A RADIX REPRESENTATION

ELECTRONIC CALCULATING DEVICE FOR CONVERTING A RESIDUE NUMBERS SYSTEM REPRESENTATION TO A RADIX REPRESENTATION

An electronic calculating device (100) arranged to convert an input number (y) represented ((y1, y2, . . . , yk)) m a residue number system (RNS) to an output number represented in a radix representation ((e0, e1, . . . es−1)), the calculating device comprising an input interface (110) arranged to r...

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Hauptverfasser: RIETMAN, RONALD, HOLLMANN, HENDRIK DIRK LODEWIJK, TOLHUIZEN, LUDOVICUS MARINUS GERARDUS MARIA, DE HOOGH, SEBASTIAAN JACOBUS ANTONIUS
Format: Patent
Sprache:eng
Schlagworte:
CALCULATING
COMPUTING
COUNTING
ELECTRIC COMMUNICATION TECHNIQUE
ELECTRIC DIGITAL DATA PROCESSING
ELECTRICITY
PHYSICS
TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHICCOMMUNICATION
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creator RIETMAN, RONALD
HOLLMANN, HENDRIK DIRK LODEWIJK
TOLHUIZEN, LUDOVICUS MARINUS GERARDUS MARIA
DE HOOGH, SEBASTIAAN JACOBUS ANTONIUS
description An electronic calculating device (100) arranged to convert an input number (y) represented ((y1, y2, . . . , yk)) m a residue number system (RNS) to an output number represented in a radix representation ((e0, e1, . . . es−1)), the calculating device comprising an input interface (110) arranged to receive the input number (y) represented in the residue number system, and a processor circuit (120) configured to iteratively update an intermediate number (ŷ) represented in the residue number system, wherein iterations produce the digits (e0, e1, . . . es−1) in the radix representation with respect to the bases (b0, b1, . . . , bs−1), at least one iteration comprises computing the intermediate number modulo a base (bt) of the radix representation to obtain a digit (et=(ŷ)bt) of the radix representation, updating the intermediate number (ŷ←(ŷ−et+F)/bt) by subtracting the digit from the intermediate number, adding an obfuscating number (F; Ft), and dividing by the base (bt).
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subjects CALCULATING
COMPUTING
COUNTING
ELECTRIC COMMUNICATION TECHNIQUE
ELECTRIC DIGITAL DATA PROCESSING
ELECTRICITY
PHYSICS
TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHICCOMMUNICATION
title ELECTRONIC CALCULATING DEVICE FOR CONVERTING A RESIDUE NUMBERS SYSTEM REPRESENTATION TO A RADIX REPRESENTATION
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