Peter Kornerup

Publications87
h-index21
Citations1,305
Highly Influential Citations84
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An RNS Montgomery modular multiplication algorithm
TLDR
The authors present a new RNS modular multiplication for very large operands based on Montgomery's method adapted to mixed radix, and is performed using a residue number system.
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A High Speed Hough Transform Using CORDIC
TLDR
The pipelined CORDIC structure proposed in this paper can reach a high calculation speed using only adders, thus realizing the Hough Transform in real time, and more area efficient than a ROM and array-multiplier based implementation, capable of running at the same speed.
Modular multiplication and base extensions in residue number systems
TLDR
A new RNS modular multiplication for very large operands is presented, based on Montgomery's (1985) method adapted to residue arithmetic, which achieves an effect corresponding to a redundant high-radix implementation by choosing the moduli of the RNS system reasonably large.
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High-radix modular multiplication for cryptosystems
  • Peter Kornerup
  • Computer Science, Mathematics
    Proceedings of IEEE 11th Symposium on Computer…
  • 29 June 1993
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…
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An Algorithm for Redundant Binary Bit-Pipelined Rational Arithmetic
TLDR
A redundant binary representation of the rationals and an associated algorithm for computing the sum, difference, product, quotient, and other useful functions of two rational operands, using this representation are introduced.
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Digit selection for SRT division and square root
  • Peter Kornerup
  • Mathematics, Computer Science
    IEEE Transactions on Computers
  • 1 March 2005
TLDR
The minimally redundant, radix-4 combined divide and square root algorithm is analyzed and it is shown that, in this case, it can be implemented without such a special table to determine initial digits for the square root.
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Msb-first Digit Serial Arithmetic 1
We develop a formal account of digit serial number representations by describing them as strings from a language. A preex of a string represents an interval approximating a number by enclosure.…
A Systolic, Linear-Array Multiplier for a Class of Right-Shift Algorithms
TLDR
It is shown how the multiplier, with some simple back-end connections, can compute modular inverses and perform modular division for a power of two as modulus.
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Finite Precision Number Systems and Arithmetic
TLDR
This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms.
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Digit-Set Conversions: Generalizations and Application
  • Peter Kornerup
  • Computer Science, Mathematics
    IEEE Trans. Computers
  • 1 May 1994
TLDR
The problem of digit set conversion for fixed radix is investigated, and O(1) time algorithms for converting into redundant digit sets are generalized based on a very simple lemma, which provides a framework for all conversions into redundancies.
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