Polynomial division and its computational complexity

D Bini, V Pan - Journal of Complexity, 1986 - Elsevier
Abstract (i) First we show that all the known algorithms for polynomial division can be
represented as algorithms for triangular Toeplitz matrix inversion. In spite of the apparent …

Computing with a full memory: catalytic space

H Buhrman, R Cleve, M Koucký, B Loff… - Proceedings of the forty …, 2014 - dl.acm.org
We define the notion of a catalytic-space computation. This is a computation that has a small
amount of clean space available and is equipped with additional auxiliary space, with the …

[PDF][PDF] Number theoretic algorithms

E Bach - 1989 - minds.wisconsin.edu
This paper is a report on algorithms to solve problems in number theory. I believe the most
interesting such problems to be those from elementary number theory whose complexity is …

Designated verifier/prover and preprocessing NIZKs from Diffie-Hellman assumptions

S Katsumata, R Nishimaki, S Yamada… - Advances in Cryptology …, 2019 - Springer
In a non-interactive zero-knowledge (NIZK) proof, a prover can non-interactively convince a
verifier of a statement without revealing any additional information. Thus far, numerous …

On the power of small-depth computation

E Viola - Foundations and Trends® in Theoretical Computer …, 2009 - nowpublishers.com
On the Power of Small-Depth Computation Page 1 On the Power of Small-Depth Computation Full
text available at: http://dx.doi.org/10.1561/0400000033 Page 2 On the Power of Small-Depth …

Review and summary of a silicon micromachined gas chromatography system

ES Kolesar, RR Reston - IEEE Transactions on Components …, 1998 - ieeexplore.ieee.org
A miniature gas chromatography (GC) system has been designed and fabricated using
silicon micromachining and integrated circuit (IC) processing techniques. The silicon …

Symmetries and the complexity of pure Nash equilibrium

F Brandt, F Fischer, M Holzer - Journal of computer and system sciences, 2009 - Elsevier
Strategic games may exhibit symmetries in a variety of ways. A characteristic feature,
enabling the compact representation of games even when the number of players is …

On small depth threshold circuits

AA Razborov - Scandinavian Workshop on Algorithm Theory, 1992 - Springer
In this talk we will consider various classes defined by small depth polynomial size circuits
which contain threshold gates and parity gates. We will describe various inclusions between …

Scooby: improved multi-party homomorphic secret sharing based on FHE

I Chillotti, E Orsini, P Scholl, B Van Leeuwen - Information and Computation, 2024 - Elsevier
In this paper we present new constructions of multi-party homomorphic secret sharing (HSS)
based on a new primitive that we call homomorphic encryption with decryption to shares …

The complexity of sparse sets in P: Preliminary report

EW Allender - Structure in Complexity Theory: Proceedings of the …, 1986 - Springer
P-printable sets, defined in [HY-84], arise naturally in the study of P-uniform circuit
complexity, generalized Kolmogorov complexity, and data compression, as well as in many …