High-radix modular multiplication for cryptosystems

  title={High-radix modular multiplication for cryptosystems},
  author={Peter Kornerup},
  journal={Proceedings of IEEE 11th Symposium on Computer Arithmetic},
  • Peter Kornerup
  • Published 29 June 1993
  • Computer Science, Mathematics
  • Proceedings of IEEE 11th Symposium on Computer Arithmetic
Two algorithms for modular multiplication with very large moduli are analyzed specifically for their applicability when a high radix is used for the multiplier. Both algorithms perform modulo reductions interleaved with the addition of partial products; one algorithm is using the standard residue system, whereas the other utilizes a nonstandard system using reductions modulo a power of the base. The emphasis is on situations, as in cryptosystems, where modular exponentiation is to be realized… 

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