*15:17* [Pub][ePrint]
Lattice-Based FHE as Secure as PKE, by Zvika Brakerski and Vinod Vaikuntanathan
We show that (leveled) fully homomorphic encryption (FHE) can be based on the hardness of $\\otild(n^{1.5+\\epsilon})$-approximation for lattice problems (such as GapSVP) under quantum reductions for any $\\epsilon>0$ (or $\\otild(n^{2+\\epsilon})$-approximation under classical reductions). This matches the best known hardness for ``regular\'\' (non-homomorphic) lattice based public-key encryption up to the $\\epsilon$ factor. A number of previous methods had hit a roadblock at quasipolynomial approximation. (As usual, a circular security assumption can be used to achieve a non-leveled FHE scheme.)Our approach consists of three main ideas: Noise-bounded sequential evaluation of

high fan-in operations; Circuit sequentialization using Barrington\'s Theorem; and finally,

successive dimension-modulus reduction.

*15:17* [Pub][ePrint]
Private Over-threshold Aggregation Protocols over Distributed Databases, by Myungsun Kim and Abedelaziz Mohaisen and Jung Hee Cheon and Yongdae Kim
In this paper, we revisit the private over-threshold data aggregation problem, and formally define the problem\'s security requirements as both data and user privacy goals. To achieve both goals, and to strike a balance between efficiency and functionality, we devise a novel cryptographic construction that comes in two schemes; a fully decentralized construction and its practical but semi-decentralized variant. Both schemes are provably secure in the semi-honest model. We analyze the computational and communication complexities of our construction, and show that it is much more efficient than the existing protocols in the literature.

Finally, we show that our basic protocol is efficiently transformed into a stronger protocol secure in the presence of malicious adversaries, together with performance and security analysis.

*12:17* [Pub][ePrint]
The Parallel-Cut Meet-In-The-Middle Attack, by Ivica Nikolic, Lei Wang and Shuang Wu
We propose a new type of meet-in-the-middle attack that splits the cryptographic primitive in parallel to the execution of the operations. The result of the division are two primitives that have smaller input sizes and thus require lower attack complexities.

However, the division is not completely independent and the sub-primitives depend (output of one is the input for the other) mutually on a certain number of bits. When the number of such bits is relatively small, we show a technique based on three classical meet-in-the-middle attacks that can recover the secret key of the cipher faster than an exhaustive search. We apply our findings to the lightweight block cipher KLEIN and show attacks on 10/11/13 rounds of KLEIN-64/-80/-96.

Our approach requires only one or two pairs of known plaintexts and always recovers the secret key.

*12:17* [Pub][ePrint]
On the Limits of Provable Anonymity, by Nethanel Gelernter and Amir Herzberg
We study provably secure anonymity, focusing on ultimateanonymity - strongest-possible anonymity requirements and

adversaries. We begin with rigorous definition of anonymity

against wide range of computationally-bounded attackers,

including eavesdroppers, malicious peers, malicious destina-tions, and their combinations. Following the work of Hevia and Micciancio [15], our definition is generic, and captures dierent notions of anonymity (e.g., unobservability and sender anonymity).

We then study the feasibility of ultimate anonymity. We

show there is a protocol satisfying this requirement, but with

absurd (although polynomial) inefficiency and overhead. We

show that such inefficiency and overhead is unavoidable for

`ultimate anonymity\'. We then present a slightly-relaxed

requirement and present feasible protocols for it.

*12:17* [Pub][ePrint]
On a Relation between the Ate Pairing and the Weil Pairing for Supersingular Elliptic Curves, by Takakazu Satoh
The hyperelliptic curve Ate pairing provides an efficient way to compute abilinear pairing on the Jacobian variety of a hyperelliptic curve.

We prove that, for supersingular elliptic curves with embedding degree

two, square of the Ate pairing is nothing but the Weil pairing.

Using the formula, we develop an X-coordinate only pairing inversion method.

However, the algorithm is still infeasible for cryptographic size problems.

*12:17* [Pub][ePrint]
Gossip Latin Square and The Meet-All Gossipers Problem, by Nethanel Gelernter and Amir Herzberg
Given a network of n = 2^kgossipers, we want to schedule a cyclic calendar

of meetings between all of them, such that: (1) each gossiper communicates

(gossips) only once a day, with one other gossiper, (2) in every (n 1) consecutive

days, each gossiper meets all other gossipers, and (3) every gossip, initiated by

any gossiper, will reach all gossipers within k = log(n) days.

In this paper we study the above stated meet-all gossipers problem, by den-ing and constructing the Gossip Latin Square (GLS), a combinatorial structure

which solves the problem.