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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.
7th April 2014 13:36

#### ECCC Archive DVD 2013

191 reports have been published on ECCC in 2013. The collection of all these reports is now available on DVD. You can order the archive (and also the archive DVDs from earlier years) at the local office. Please email < href="mailto:eccc@eccc.hpi-web.de">eccc@eccc.hpi-web.de for ordering.

4th March 2013 09:03

#### ECCC Archive DVD 2012

In 2012 we had a total count of 186 published reports on ECCC. The collection of all the reports from 2012 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.

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.

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TR15-109 | 1st July 2015
Mrinal Kumar, Ramprasad Saptharishi

#### An exponential lower bound for homogeneous depth-5 circuits over finite fields

In this paper, we show exponential lower bounds for the class of homogeneous depth-$5$ circuits over all small finite fields. More formally, we show that there is an explicit family $\{P_d : d \in N\}$ of polynomials in $VNP$, where $P_d$ is of degree $d$ in $n = d^{O(1)}$ variables, ... more >>>

TR15-108 | 30th June 2015
Shalev Ben-David

#### A Super-Grover Separation Between Randomized and Quantum Query Complexities

We construct a total Boolean function $f$ satisfying
$R(f)=\tilde{\Omega}(Q(f)^{5/2})$, refuting the long-standing
conjecture that $R(f)=O(Q(f)^2)$ for all total Boolean functions.
Assuming a conjecture of Aaronson and Ambainis about optimal quantum speedups for partial functions,
we improve this to $R(f)=\tilde{\Omega}(Q(f)^3)$.
Our construction is motivated by the Göös-Pitassi-Watson function
but does not ... more >>>

TR15-107 | 21st June 2015
Sagnik Mukhopadhyay, Swagato Sanyal

#### Towards Better Separation between Deterministic and Randomized Query Complexity

We show that there exists a Boolean function $F$ which observes the following separations among deterministic query complexity $(D(F))$, randomized zero error query complexity $(R_0(F))$
and randomized one-sided error query complexity $(R_1(F))$: $R_1(F) = \widetilde{O}(\sqrt{D(F)})$ and $R_0(F)=\widetilde{O}(D(F))^{3/4}$. This refutes the conjecture made by
Saks and Wigderson that for any Boolean ... more >>>

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