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STACS
2009
Springer
14 years 4 months ago
A Stronger LP Bound for Formula Size Lower Bounds via Clique Constraints
We introduce a new technique proving formula size lower bounds based on the linear programming bound originally introduced by Karchmer, Kushilevitz and Nisan [11] and the theory of...
Kenya Ueno
STACS
2007
Springer
14 years 4 months ago
A New Rank Technique for Formula Size Lower Bounds
We exactly determine the formula size of the parity function. If n = 2 + k, where 0 ≤ k < 2 , then the formula size of parity on n bits is 2 (2 + 3k) = n2 + k2 − k2 . Khrap...
Troy Lee
FOCS
2002
IEEE
14 years 2 months ago
Graph Isomorphism is in SPP
We show that Graph Isomorphism is in the complexity class SPP, and hence it is in ⊕P (in fact, it is in ModkP for each k ≥ 2). We derive this result as a corollary of a more g...
Vikraman Arvind, Piyush P. Kurur
SICHERHEIT
2008
13 years 11 months ago
Efficiency Improvement for NTRU
Abstract: The NTRU encryption scheme is an interesting alternative to well-established encryption schemes such as RSA, ElGamal, and ECIES. The security of NTRU relies on the hardne...
Johannes Buchmann, Martin Döring, Richard Lin...
COMBINATORICS
2004
106views more  COMBINATORICS 2004»
13 years 9 months ago
Random Matrices, Magic Squares and Matching Polynomials
Characteristic polynomials of random unitary matrices have been intensively studied in recent years: by number theorists in connection with Riemann zetafunction, and by theoretica...
Persi Diaconis, Alexander Gamburd