Weizmann Logo
ECCC
Electronic Colloquium on Computational Complexity

Under the auspices of the Computational Complexity Foundation (CCF)

Login | Register | Classic Style



LATEST > REPORTS:
RSS-Feedprevious PreviousNext next

TR04-115 | 1st December 2004
Iftach Haitner, Ronen Shaltiel

Statistical Zero-Knowledge Arguments for NP Using Approximable-Preimage-Size One-Way Functions

A statistical zero knowledge argument for NP is a cryptographic primitive that allows a polynomial-time prover to convince another
polynomial-time verifier of the validity of an NP statement. It is guaranteed that even an infinitely powerful verifier does not learn any
additional information but the validity of the claim.

Naor ... more >>>


TR04-114 | 21st November 2004
Vladimir Trifonov

An O(log n log log n) Space Algorithm for Undirected s,t-Connectivity

We present a deterministic O(log n log log n) space algorithm for
undirected s,t-connectivity. It is based on the deterministic EREW
algorithm of Chong and Lam (SODA 93) and uses the universal
exploration sequences for trees constructed by Kouck\'y (CCC 01).
Our result improves the O(log^{4/3} n) bound of Armoni ... more >>>


TR04-113 | 19th November 2004
MÃ¥rten Trolin

Lattices with Many Cycles Are Dense

We give a method for approximating any $n$-dimensional
lattice with a lattice $\Lambda$ whose factor group
$\mathbb{Z}^n / \Lambda$ has $n-1$ cycles of equal length
with arbitrary precision. We also show that a direct
consequence of this is that the Shortest Vector Problem and the Closest
Vector Problem cannot ... more >>>



previous PreviousNext next


ISSN 1433-8092 | Imprint