British Aerospace Public Limited Company

Paul A Findlay

Brian A Johnson

John R Guppy

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.

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Hatfield, United Kingdom

Paul A Findlay