Sharif Digital Repository

We construct an efficient statistical zero-knowledge authentication protocol for smart cards based on general assumptions. We show how it can be instantiated using lattice-based primitives, which are conjectured to be secure against quantum attacks. We illustrate the practicality of our protocol on smart cards in terms of storage, computation, communication, and round complexities. Furthermore, we compare it to other lattice-based authentication protocols, which are either zero-knowledge or have a similar structure. The comparison shows that our protocol improves the best previous protocol in several aspects  

For the space of two identical systems of arbitrary dimensions, we introduce a continuous family of bases with the following properties: (i) the bases are orthonormal, (ii) in each basis, all the states have the same values of entanglement, and (iii) they continuously interpolate between the product basis and the maximally entangled basis. The states thus constructed may find applications in many areas related to the quantum information science including quantum cryptography, optimal Bell tests, and the investigation of the enhancement of channel capacity due to entanglement. © 2006 The American Physical Society  

We present a pipelined Montgomery multiplier tailored for SIKE primes. The latency of this multiplier is far shorter than that of the previous work while its frequency competes with the highest-rated ones. The implementation results on a Virtex-7 FPGA show that this multiplier improves the time, the area-time product (AT), and the throughput of computing modular multiplication by at least 2.30, 1.60, and 1.36 times over SIKE primes respectively. We have also developed a CPU-like architecture to perform SIDH and SIKE using several instances of our modular multiplier. Using four multipliers on a Virtex-7 FPGA, the encapsulation and the decapsulation of SIKE can be performed at least 1.45 times... 

Quantum secret sharing (QSS) protocols between N players, for sharing classical secrets, either use multipartite entangled states or use sequential manipulation of single d-level states only when d is prime (A. Tavakoli, arXiv:1501.05582). We propose a sequential scheme which is valid for any value of d. In contrast to A. Tavakoli et al. whose efficiency (number of valid rounds) is 1d, the efficiency of our scheme is 12 for any d. This, together with the fact that in the limit d the scheme can be implemented by continuous variable optical states, brings the scheme into the domain of present day technology  

By exponential increase in applications of the Internet of Things (IoT), such as smart ecosystems or e-health, more security threats have been introduced. In order to resist known attacks for IoT networks, multiple security protocols must be established among nodes. Thus, IoT devices are required to execute various cryptographic operations, such as public key encryption/decryption. However, classic public key cryptosystems, such as Rivest-Shammir-Adlemon and elliptic curve cryptography are computationally more complex to be efficiently implemented on IoT devices and are vulnerable regarding quantum attacks. Therefore, after complete development of quantum computing, these cryptosystems will... 

Public-key plays a significant role in today's communication over the network. However, current state-of-the-art public-key encryption (PKE) schemes are too complex to be efficiently employed in resource-constrained devices. Moreover, they are vulnerable to quantum attacks and soon will not have the required security. In the last decade, lattice-based cryptography has been a progenitor platform of the post-quantum cryptography (PQC) due to its lower complexity, which makes it more suitable for Internet of Things applications. In this article, we propose an efficient implementation of the binary learning with errors over ring (Ring-BinLWE) on the reduced instruction set computer-five (RISC-V)... 

In this paper we derive a new upper bound on the quantum key distillation capacity. This upper bound is an extension of the classical bound of Gohari and Anantharam on the source model problem. Our bound strictly improves the quantum extension of reduced intrinsic information bound of Christandl et al. Although this bound is proposed for quantum settings, it also serves as an upper bound for the special case of classical source model, and may improve the bound of Gohari and Anantharam. The problem of quantum key distillation is one in which two distant parties, Alice and Bob, and an adversary, Eve, have access to copies of quantum systems A, B, E respectively, prepared jointly according to... 

We show that two parties far apart can use shared entangled states and classical communication to align their coordinate systems with a very high fidelity. Moreover, compared with previous methods proposed for such a task, i.e., sending parallel or antiparallel pairs or groups of spin states, our method has the extra advantages of using single-qubit measurements and also being secure, so that third parties do not extract any information about the aligned coordinate system established between the two parties. The latter property is important in many other quantum information protocols in which measurements inevitably play a significant role. © 2017 American Physical Society  

We present a pipelined Montgomery multiplier tailored for SIKE primes. The latency of this multiplier is far shorter than that of the previous work while its frequency competes with the highest-rated ones. The implementation results on a Virtex-7 FPGA show that this multiplier improves the time, the area-time product (AT), and the throughput of computing modular multiplication by at least 2.30, 1.60, and 1.36 times over SIKE primes respectively. We have also developed a CPU-like architecture to perform SIDH and SIKE using several instances of our modular multiplier. Using four multipliers on a Virtex-7 FPGA, the encapsulation and the decapsulation of SIKE can be performed at least 1.45 times... 

Multi-party computation (MPC) allows each peer to take part in the execution of a common function with their private share of data without the need to expose it to other participants. The Legendre symbol is a pseudo-random function (PRF) that is suitable for MPC protocols due to their efficient evaluation process compared to other symmetric primitives. Recently, Legendre-based PRFs have also been employed in the construction of a post-quantum signature scheme, namely LegRoast. In this paper, we propose, to the best of our knowledge, the first hardware implementations for the Legendre symbol by three approaches: 1) low-area, 2) high-speed, and 3) high-frequency. The high-speed architecture...