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ARITH
2005
IEEE
14 years 1 months ago
Arithmetic Operations in the Polynomial Modular Number System
We propose a new number representation and arithmetic for the elements of the ring of integers modulo p. The socalled Polynomial Modular Number System (PMNS) allows for fast polyn...
Jean-Claude Bajard, Laurent Imbert, Thomas Plantar...
ALGORITHMICA
2011
13 years 2 months ago
Crossing Numbers of Graphs with Rotation Systems
We show that computing the crossing number and the odd crossing number of a graph with a given rotation system is NP-complete. As a consequence we can show that many of the well-k...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
GD
2007
Springer
14 years 1 months ago
Crossing Number of Graphs with Rotation Systems
We show that computing the crossing number of a graph with a given rotation system is NP-complete. This result leads to a new and much simpler proof of Hlinˇen´y’s result, tha...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
WIMOB
2007
IEEE
14 years 1 months ago
The Analysis of the Optimal Periodic Ranging Slot Number in IEEE 802.16 OFDMA Systems
As part of the IEEE 802.16 protocol, the random access scheme is used for ranging. The ratio between the numbers of periodic ranging slots and data slots in the uplink subframe de...
Jihua Zhou, Xin Jin, Jiangtao Dong, Jinglin Shi, Z...
FPL
2007
Springer
106views Hardware» more  FPL 2007»
14 years 1 months ago
Monte Carlo Logarithmic Number System for Model Predictive Control
Simple algorithms can be analytically characterized, but such analysis is questionable or even impossible for more complicated algorithms, such as Model Predictive Control (MPC). ...
Panagiotis D. Vouzis, Sylvain Collange, Mark G. Ar...