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» Digital Algebra and Circuits
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JC
2008
92views more  JC 2008»
13 years 7 months ago
Characterizing Valiant's algebraic complexity classes
Valiant introduced 20 years ago an algebraic complexity theory to study the complexity of polynomial families. The basic computation model used is the arithmetic circuit, which ma...
Guillaume Malod, Natacha Portier
TC
1998
13 years 7 months ago
A New Representation of Elements of Finite Fields GF(2m) Yielding Small Complexity Arithmetic Circuits
—Let F2 denote the binary field and F 2 m an algebraic extension of degree m > 1 over F2 . Traditionally, elements of F 2 m are either represented as powers of a primitive ele...
Germain Drolet
DAC
2003
ACM
14 years 8 months ago
Power grid reduction based on algebraic multigrid principles
With the scaling of technology, power grid noise is becoming increasingly significant for circuit performance. A typical power grid circuit contains millions of linear elements, m...
Haihua Su, Emrah Acar, Sani R. Nassif
DAGSTUHL
2006
13 years 9 months ago
The complexity of Boolean functions from cryptographic viewpoint
Cryptographic Boolean functions must be complex to satisfy Shannon's principle of confusion. But the cryptographic viewpoint on complexity is not the same as in circuit compl...
Claude Carlet
ENTCS
2010
113views more  ENTCS 2010»
13 years 7 months ago
Geometry of Synthesis II: From Games to Delay-Insensitive Circuits
This paper extends previous work on the compilation of higher-order imperative languages into digital circuits [4]. We introduce concurrency, an essential feature in the context o...
Dan R. Ghica, Alex Smith