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ANTS
2008
Springer
103views Algorithms» more  ANTS 2008»
14 years 1 months ago
On Prime-Order Elliptic Curves with Embedding Degrees k = 3, 4, and 6
Abstract. We further analyze the solutions to the Diophantine equations from which prime-order elliptic curves of embedding degrees k = 3, 4 or 6 (MNT curves) may be obtained. We g...
Koray Karabina, Edlyn Teske
PODC
1991
ACM
14 years 3 months ago
Resource Bounds for Self Stabilizing Message Driven Protocols
Abstract. Self-stabilizing message driven protocols are defined and discussed. The class weakexclusion that contains many natural tasks such as -exclusion and token-passing is de...
Shlomi Dolev, Amos Israeli, Shlomo Moran
COCO
1991
Springer
112views Algorithms» more  COCO 1991»
14 years 3 months ago
Randomized vs.Deterministic Decision Tree Complexity for Read-Once Boolean Functions
We consider the deterministic and the randomized decision tree complexities for Boolean functions, denoted DC(f) and RC(f), respectively. A major open problem is how small RC(f) ca...
Rafi Heiman, Avi Wigderson
STOC
1995
ACM
115views Algorithms» more  STOC 1995»
14 years 3 months ago
Geometric lower bounds for parametric matroid optimization
We relate the sequence of minimum bases of a matroid with linearly varying weights to three problems from combinatorial geometry: k-sets, lower envelopes of line segments, and con...
David Eppstein
EUROPAR
2006
Springer
14 years 3 months ago
On-Line Adaptive Parallel Prefix Computation
Abstract. We consider parallel prefix computation on processors of different and possibly changing speeds. Extending previous works on identical processors, we provide a lower boun...
Jean-Louis Roch, Daouda Traoré, Julien Bern...
EUC
2006
Springer
14 years 3 months ago
On Multiprocessor Utility Accrual Real-Time Scheduling with Statistical Timing Assurances
We present the first Utility Accrual (or UA) real-time scheduling algorithm for multiprocessors, called gMUA. The algorithm considers an application model where real-time activiti...
Hyeonjoong Cho, Haisang Wu, Binoy Ravindran, E. Do...
CRYPTO
2006
Springer
92views Cryptology» more  CRYPTO 2006»
14 years 3 months ago
Rigorous Bounds on Cryptanalytic Time/Memory Tradeoffs
In this paper we formalize a general model of cryptanalytic time/memory tradeoffs for the inversion of a random function f : {0, 1, . . . , N - 1} {0, 1, . . . , N - 1}. The model...
Elad Barkan, Eli Biham, Adi Shamir
FOCS
2004
IEEE
14 years 3 months ago
An Optimal Randomised Cell Probe Lower Bound for Approximate Nearest Neighbour Searching
We consider the approximate nearest neighbour search problem on the Hamming cube {0, 1}d. We show that a randomised cell probe algorithm that uses polynomial storage and word size...
Amit Chakrabarti, Oded Regev
APPROX
2006
Springer
179views Algorithms» more  APPROX 2006»
14 years 3 months ago
Adaptive Sampling and Fast Low-Rank Matrix Approximation
We prove that any real matrix A contains a subset of at most 4k/ + 2k log(k + 1) rows whose span "contains" a matrix of rank at most k with error only (1 + ) times the er...
Amit Deshpande, Santosh Vempala
ANTS
2006
Springer
79views Algorithms» more  ANTS 2006»
14 years 3 months ago
Computing a Lower Bound for the Canonical Height on Elliptic Curves over Q
Let E be an elliptic curve over the rationals. A crucial step in determining a Mordell-Weil basis for E is to exhibit some positive lower bound > 0 for the canonical height ^h ...
John Cremona, Samir Siksek