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#### What we do and why

The Electronic Colloquium on Computational Complexity is a new forum for the rapid and widespread interchange of ideas, techniques, and research in computational complexity. The purpose of this Colloquium is to use electronic media for scientific communication and discussions in the computational complexity community. The Electronic Colloquium on Computational Complexity (ECCC) welcomes papers, short notes and surveys with
• relevance to the theory of computation,
• clear mathematical profile and
• strictly mathematical format.

#### Central topics

• models of computation and their complexity,
• complexity bounds (with the emphasis on lower bounds).
Specific areas including complexity issues are
• combinatorics,
• communication complexity,
• cryptography,
• combinatorial optimization,
• complexity of learning algorithms,
• logic.

Here are some papers on the idea and concept of electronic colloquia and ECCC.
6th March 2012 12:04

#### ECCC Archive DVD 2011

In 2011 we had a total count of 174 published reports on ECCC. The collection of all the reports from 2011 is now available on DVD. You can order the archive (and also the archive DVDs from earlier years) at the local office. Please email to eccc@eccc.hpi-web.de for ordering.

9th March 2011 09:41

#### ECCC Archive DVD 2010

The collection of all reports published on ECCC in 2010 is now available on DVD. You can order the archive (and also the archive DVDs from earlier years) at the local office.
Please email to eccc@eccc.hpi-web.de for ordering.

8th April 2010 10:10

With the extension of our scientific board and the implementation of the improved screening mechanism incorporating topics of interest already in the submission process, the ECCC can now provide a clarified Call for Papers.
Please keep in mind, that the ECCC focusses on complexity issues rather than on general algorithmic topics. If you plan to submit, please verify that your work matches the scope of interest defined in the CfP.

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TR13-177 | 10th December 2013
Eric Allender, Nikhil Balaji, Samir Datta

#### Low-depth Uniform Threshold Circuits and the Bit-Complexity of Straight Line Programs

We present improved uniform TC$^0$ circuits for division, matrix powering, and related problems, where the improvement is in terms of majority depth'' (initially studied by Maciel and Therien). As a corollary, we obtain improved bounds on the complexity of certain problems involving arithmetic circuits, which are known to lie in ... more >>>

TR13-176 | 8th December 2013
Daniel Kane, Osamu Watanabe

#### A Short Implicant of CNFs with Relatively Many Satisfying Assignments

Consider any Boolean function $F(X_1,\ldots,X_N)$ that has more than $2^{-N^{d}}$ satisfying assignments and that can be expressed by a CNF formula with at most $N^{1+e}$ clauses for some $d>0$ and $e>0$ such that $d+e$ is less than $1$ (*). Then how many variables do we need to fix in order ... more >>>

TR13-175 | 6th December 2013
Venkatesan Guruswami, Chaoping Xing

#### Hitting Sets for Low-Degree Polynomials with Optimal Density

We give a length-efficient puncturing of Reed-Muller codes which preserves its distance properties. Formally, for the Reed-Muller code encoding $n$-variate degree-$d$ polynomials over ${\mathbb F}_q$ with $q \ge \Omega(d/\delta)$, we present an explicit (multi)-set $S \subseteq {\mathbb F}_q^n$ of size $N=\mathrm{poly}(n^d/\delta)$ such that every nonzero polynomial vanishes on at most ... more >>>

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