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Optimum Digit Serial GF(2^m) Multipliers for Curve-Based Cryptography
October 2006 (vol. 55 no. 10)
pp. 1306-1311
ASCII Text
x 
 
Sandeep Kumar, Thomas Wollinger, Christof Paar, "Optimum Digit Serial GF(2^m) Multipliers for Curve-Based Cryptography," IEEE Transactions on Computers, vol. 55, no. 10, pp. 1306-1311, October, 2006.
 
 
BibTex
x
 
@article{ 10.1109/TC.2006.165,
author = {Sandeep Kumar and Thomas Wollinger and Christof Paar},
title = {Optimum Digit Serial GF(2^m) Multipliers for Curve-Based Cryptography},
journal ={IEEE Transactions on Computers},
volume = {55},
number = {10},
issn = {0018-9340},
year = {2006},
pages = {1306-1311},
doi = {http://doi.ieeecomputersociety.org/10.1109/TC.2006.165},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Computers
TI - Optimum Digit Serial GF(2^m) Multipliers for Curve-Based Cryptography
IS - 10
SN - 0018-9340
SP1306
EP1311
EPD - 1306-1311
A1 - Sandeep Kumar,
A1 - Thomas Wollinger,
A1 - Christof Paar,
PY - 2006
KW - Bit serial multiplier
KW - digit serial multiplier
KW - least significant digit multiplier
KW - elliptic/hyperelliptic curve cryptography
KW - public key cryptography.
VL - 55
JA - IEEE Transactions on Computers
ER -
 
Digit Serial Multipliers are used extensively in hardware implementations of elliptic and hyperelliptic curve cryptography. This contribution shows different architectural enhancements in Least Significant Digit (LSD) multiplier for binary fields GF(2^m). We propose two different architectures, the Double Accumulator Multiplier (DAM) and N-Accumulator Multiplier (NAM), which are both faster compared to traditional LSD multipliers. Our evaluation of the multipliers for different digit sizes gives optimum choices and shows that currently used digit sizes are the worst possible choices. Hence, one of the most important results of this contribution is that digit sizes of the form 2^l-1, where l is an integer, are preferable for the digit multipliers. Furthermore, one should always use the NAM architecture to get the best timings. Considering the time area product DAM or NAM gives the best performance depending on the digit size.

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Index Terms:
Bit serial multiplier, digit serial multiplier, least significant digit multiplier, elliptic/hyperelliptic curve cryptography, public key cryptography.
Citation:
Sandeep Kumar, Thomas Wollinger, Christof Paar, "Optimum Digit Serial GF(2^m) Multipliers for Curve-Based Cryptography," IEEE Transactions on Computers, vol. 55, no. 10, pp. 1306-1311, Oct. 2006, doi:10.1109/TC.2006.165
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