Fast base extension and precise scaling in RNS for look-up tableimplementations

  • Authors:
  • F. Barsi;M.C. Pinotti

  • Affiliations:
  • Dipartimento di Matematica, Perugia Univ.;-

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 1995

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Abstract

Both base extension and scaling are fundamental operations in residue computing and several techniques have been proposed previously for their efficient implementation. Using look-up tables, the best result (log2 n table took-up cycles, where n is the number of residue moduli in the system) has been obtained by using the Chinese remainder theorem (CRT) at the expenses of a redundant representation of the numbers and of an approximated scaling. The CRT approach is reconsidered and it is shown that the same average time performances (log2 n lookup cycles) can be achieved without any redundancy and with a precise result for scaling