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2-threshold Ideal Secret Sharing Schemes Can Be Uniquely Modeled by Latin Squares
secret sharing ideal secret sharing 2-threshold secret sharing
2019/5/31
In a secret sharing scheme, a secret value is encrypted into several shares, which are distributed among corresponding participants. It requires that only predefined subsets of participants can recons...
On the Shortness of Vectors to be found by the Ideal-SVP Quantum Algorithm
Quantum Cryptanalysis Cyclotomic Ideal Lattices
2019/3/4
The hardness of finding short vectors in ideals of cyclotomic number fields (hereafter, Ideal-SVP) can serve as a worst-case assumption for numerous efficient cryptosystems, via the average-case probl...
Approx-SVP in Ideal Lattices with Pre-processing
heuristic assumptions pre-processing phase outputs
2019/2/28
We describe an algorithm to solve the approximate Shortest Vector Problem for lattices corresponding to ideals of the ring of integers of an arbitrary number field KK. This algorithm has a pre-process...
A Public Key Exchange Cryptosystem Based on Ideal Secrecy
one way function ideal secrecy asymmetric key cryptography
2018/11/29
This paper proposes two closely related asymmetric key (or a public key) schemes for key exchange whose security is based on the notion of ideal secrecy. In the first scheme, the private key consists ...
Constructing Ideal Secret Sharing Schemes based on Chinese Remainder Theorem
Threshold Secret Sharing Chinese Remainder Theorem Polynomial Ring
2018/11/16
Since (t,n)(t,n)-threshold secret sharing (SS) was initially proposed by Shamir and Blakley separately in 1979, it has been widely used in many aspects. Later on, Asmuth and Bloom presented a (t,n)(t,...
Asymptotically Ideal CRT-based Secret Sharing Schemes for Multilevel and Compartmented Access Structures
cryptographic protocols secret sharing
2018/11/8
Multilevel and compartmented access structures are two important classes of access structures where participants are grouped into levels/compartments with different degrees of trust and privileges. Th...
Domain-specific Accelerators for Ideal Lattice-based Public Key Protocols
Public Key Cryptography Post-quantum Cryptography Lattice-based Cryptography
2018/6/25
Post Quantum Lattice-Based Cryptography (LBC) schemes are increasingly gaining attention in traditional and emerging security problems, such as encryption, digital signature, key exchange, homomorphic...
Enforcing ideal-world leakage bounds in real-world secret sharing MPC frameworks
Domain-specific languages Privacy Security
2018/5/11
We give a language-based security treatment of domain-specific languages and compilers for secure multi-party computation, a cryptographic paradigm that enables collaborative computation over encrypte...
In this paper, we first revisit the generic two-message key exchange (TMKE) scheme (which will be referred to as KF) introduced by Kurosawa and Furukawa (CT-RSA 2014). This protocol is mainly based on...
Non-Uniform Bounds in the Random-Permutation, Ideal-Cipher, and Generic-Group Models
Secret-Key Cryptography Generic Group Model Non-Uniformity
2018/3/5
The random-permutation model (RPM) and the ideal-cipher model (ICM) are idealized models that offer a simple and intuitive way to assess the conjectured standard-model security of many important symme...
NTRU-LPR IND-CPA: A New Ideal Lattices-based Scheme
Lattices-based Post-quantum Cryptography NTRUEncrypt NTRU-Prime
2018/1/31
In this paper, we propose NTRU-LPR IND-CPA, a new secure scheme based on the decisional variant of Bounded Distance Decoding problem over rings (DR-BDD). This scheme is IND-CPA secure and has two KEM ...
On the Leakage Resilience of Ideal-Lattice Based Public Key Encryption
lattice-based cryptography leakage resilience Ring-LWE
2017/11/27
We consider the leakage resilience of the Ring-LWE analogue of the Dual-Regev encryption scheme (R-Dual-Regev for short), originally presented by Lyubashevsky et al. (Eurocrypt '13). Specifically, we ...
Insuperability of the Standard Versus Ideal Model Gap for Tweakable Blockcipher Security
Optimal security standard model ideal model
2017/5/31
Two types of tweakable blockciphers based on classical blockciphers have been presented over the last years: non-tweak-rekeyable and tweak-rekeyable, depending on whether the tweak may influence the k...
Computing generator in cyclotomic integer rings, A subfield algorithm for the Principal Ideal Problem in L(1/2) and application to cryptanalysis of a FHE scheme
Principal Ideal Problem cryptanalysis FHE
2017/2/21
The Principal Ideal Problem (resp. Short Principal Ideal Problem), shorten as PIP (resp. SPIP), consists in finding a generator (resp. short generator) of a principal ideal in the ring of integers of ...
Digital Signatures Based on the Hardness of Ideal Lattice Problems in all Rings
lattice ideal lattice Ring-SIS
2016/12/10
In this work, we show that the above may actually be possible. We construct a digital signature scheme based (in the random oracle model) on a simple adaptation of the Ring-SIS problem which is as har...