Digital signal processing

Cryptography – Particular algorithmic function encoding – Public key

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380 9, 380 28, 380 37, 380 49, H04L 930, H04L 906

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051214296

ABSTRACT:
For more convenient mechanisation, the modulo m reduction of a binary number P can be carried out by conditionally summing the modulo m reductions of a power series of two and then modulo m reducing the sum. The modulo m reductions of the series, called the `residues` of the series, can be pre-calculated and stored but this may be inconvenient if they are long in terms of numbers of bits. Herein, the residues are calculated in sequence by a recursive process, each residue being calculated from the next preceeding one, this leading to a `serial` arrangement for generating the residues which can be incorporated into a serial modulo m reduction unit. Such a serial modulo m reduction unit is convenient for implementation as an integrated circuit especially as part of an overall circuit for encryption and decryption of digital signals.

REFERENCES:
patent: 4759064 (1988-07-01), Chaum
patent: 4841570 (1989-06-01), Cooper
Willoner et al., "An Algorithm for Modular Exponentiation", IEEE Proceedings of the 5th Symposium on Computer Arithmetic, May 1981, pp. 135-138.
Thomas et al., "Implementing Exact Calculations in Hardware", IEEE Transaction on Computers, vol. C-36, No. 6, Jun. 1987, pp. 764-768.

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