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FOCS
2010
IEEE
13 years 5 months ago
A Fourier-Analytic Approach to Reed-Muller Decoding
Abstract. We present a Fourier-analytic approach to list-decoding Reed-Muller codes over arbitrary finite fields. We use this to show that quadratic forms over any field are locall...
Parikshit Gopalan
CONCUR
2005
Springer
14 years 1 months ago
Termination Analysis of Integer Linear Loops
Usually, ranking function synthesis and invariant generation oop with integer variables involves abstracting the loop to have real variables. Integer division and modulo arithmetic...
Aaron R. Bradley, Zohar Manna, Henny B. Sipma
ISORC
2003
IEEE
14 years 23 days ago
Probabilistic Simulation-Based Analysis of Complex Real-Time Systems
Many industrial real-time systems have evolved over a long period of time and were initially so simple that it was possible to predict consequences of adding new functionality by ...
Anders Wall, Johan Andersson, Christer Norströ...
IPPS
2005
IEEE
14 years 1 months ago
Optimal Channel Assignments for Lattices with Conditions at Distance Two
The problem of radio channel assignments with multiple levels of interference can be modeled using graph theory. Given a graph G, possibly infinite, and real numbers k1, k2, . . ...
Jerrold R. Griggs, Xiaohua Teresa Jin
RTSS
2008
IEEE
14 years 1 months ago
A Multi-mode Real-Time Calculus
The Real-Time Calculus (RTC) framework proposed in [Chakraborty et al., DATE 2003] and subsequently extended in [Wandeler et al., Real-Time Systems 29(2-3), 2005] and a number of ...
Linh T. X. Phan, Samarjit Chakraborty, P. S. Thiag...