IMPLEMENTATION OF MULTIPLICATION AND DIVISION OPERATIONS IN THE RESIDUE NUMBER SYSTEM

Authors

  • A.K. TUMANYAN National Polytechnic University of Armenia Author
  • A.H. HAMAZASPYAN National Polytechnic University of Armenia Author
  • A.H. KOSTANYAN National Polytechnic University of Armenia Author

Keywords:

modular multiplication, residue number system, modular division, Chinese remainder theorem

Abstract

A structure and an algorithm of modular multiplication based on correction of the sum of partial products and multiplicand in each cycle of multiplication are proposed.  The algorithm of transition from the representation of the number in the RNS in the positional system and the division operation with the remainder scheme are also developed.

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Published

01.06.2026

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