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Faster Sieving Algorithm for Approximate SVP with Constant Approximation Factors
foundations lattice techniques
2019/9/16
Abstract. There is a large gap between theory and practice in the complexities of sieving algorithms for solving the shortest vector problem in an arbitrary Euclidean lattice. In this paper, we work t...
Faster homomorphic encryption is not enough: improved heuristic for multiplicative depth minimization of Boolean circuits
somewhat homomorphic encryption multiplicative depth Boolean functions
2019/8/27
In somewhat homomorphic encryption schemes (e.g. B/FV, BGV) the size of ciphertexts and the execution performance of homomorphic operations depends heavily on the multiplicative depth. The multiplicat...
Stronger and Faster Side-Channel Protections for CSIDH
CSIDH Isogeny-based post-quantum cryptography key exchange
2019/7/22
CSIDH is a recent quantum-resistant primitive based on the difficulty of finding isogeny paths between supersingular curves. Recently, two constant-time versions of CSIDH have been proposed: first by ...
New Circuit Minimization Techniques for Smaller and Faster AES SBoxes
AES SBox circuit area circuit depth
2019/7/15
In this paper we consider various methods and techniques to find the smallest circuit realizing a given linear transformation on nn input signals and mm output signals, with a constraint of a maximum ...
Faster Subgroup Checks for BLS12-381
elliptic curve cryptosystem public-key cryptography implementation
2019/7/15
Pairing-friendly elliptic curve constructions provide two elliptic curve groups which are both of prime order qq and usually each have a nontrivial cofactor hh. Due to the way these curves are typical...
Faster Bootstrapping of FHE over the integers with large prime message space
Fully homomorphic encryption Bootstrapping Restricted depth-3 circuit
2019/5/27
An HPR variant of the FV scheme: Computationally Cheaper, Asymptotically Faster
Fan-Vercauteren Residue Number System Homomorphic Encryption
2019/5/21
State-of-the-art implementations of homomorphic encryption exploit the Fan and Vercauteren (FV) scheme and the Residue Number System (RNS). While the RNS breaks down large integer arithmetic into smal...
Lattice-based Zero-Knowledge Proofs: New Techniques for Shorter and Faster Constructions and Applications
lattice-based cryptography zero-knowledge proof CRT packing, ring signature
2019/5/9
We devise new techniques for design and analysis of efficient lattice-based zero-knowledge proofs (ZKP). First, we introduce one-shot proof techniques for non-linear polynomial relations of degree k≥2...
A Faster Constant-time Algorithm of CSIDH keeping Two Torsion Points
CSIDH post-quantum cryptography Isogeny-based cryptography
2019/4/3
At ASIACRYPT 2018, Castryck, Lange, Martindale, Panny and Renes proposed CSIDH, which is a key-exchange protocol based on isogenies between elliptic curves, and a candidate for post-quantum cryptograp...
Faster Initial Splitting for Small Characteristic Composite Extension Degree Fields
Discrete Log Finite fields Function Field Sieve Cryptography
2019/3/21
Let pp be a small prime and n=n1n2>1n=n1n2>1 be a composite integer. For the function field sieve algorithm applied to FpnFpn, Guillevic (2019) had proposed an algorithm for initial splitting of the t...
Two round multiparty computation via Multi-key fully homomorphic encryption with faster homomorphic evaluations
Multi-key fully homomorphic encryption (MKFHE) NTRU two-round MPC
2019/1/4
Multi-key fully homomorphic encryption (MKFHE) allows computations on ciphertexts encrypted by different users (public keys), and the results can be jointly decrypted using the secret keys of all the ...
Setup-Free Secure Search on Encrypted Data: Faster and Post-Processing Free
Secure search Fully homomorphic encryption Randomized algorithms
2019/1/2
We present a novel secure searchsecure search protocol on data and queries encrypted with Fully Homomorphic Encryption (FHE). Our protocol enables organizations (client) to (1) securely upload an unso...
We present an efficient implementation of FrodoKEM-640 on an ARM Cortex-M4 core. We leverage the single instruction, multiple data paradigm, available in the instruction set of the ARM Cortex-M4, toge...
Covert Security with Public Verifiability: Faster, Leaner, and Simpler
secure computation covert security
2018/11/20
The notion of covert security for secure two-party computation serves as a compromise between the traditional semi-honest and malicious security definitions. Roughly, covert security ensures that chea...
Faster SeaSign signatures through improved rejection sampling
Isogeny-based cryptography signatures SeaSign
2018/11/20
We speed up the isogeny-based ``SeaSign'' signature scheme recently proposed by De Feo and Galbraith. The core idea in SeaSign is to apply the ``Fiat–Shamir with aborts'' transform to the parallel rep...