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Optical I/O plays a crucial role in the lifespan of lab-on-a-chip systems, from preliminary testing to operation in the target environment. However, due to the precise alignments required, efficient and reliable fiber-to-chip connections…

In todays world, high-power computing applications such as image processing, digital signal processing, graphics, and robotics require enormous computing power. These applications use matrix operations, especially matrix multiplication.…

Hardware Architecture · Computer Science 2019-10-29 Arish S , R. K. Sharma

An elliptic curve-based signcryption scheme is introduced in this paper that effectively combines the functionalities of digital signature and encryption, and decreases the computational costs and communication overheads in comparison with…

Cryptography and Security · Computer Science 2012-03-21 M. Toorani , A. A. Beheshti

Embedded system performances are bounded by power consumption. The trend is to offload greedy computations on hardware accelerators as GPU, Xeon Phi or FPGA. FPGA chips combine both flexibility of programmable chips and energy-efficiency of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-16 Christophe Alias

Elliptic curve multiplications can be improved by replacing the standard ladder algorithm's base 2 representation of the scalar multiplicand, with mixed-base representations with power-of-2 bases, processing the n bits of the current digit…

Cryptography and Security · Computer Science 2019-05-20 Wesam Eid , Marius C. Silaghi

Elliptic curves over finite fields GF(2^n) play a prominent role in modern cryptography. Published quantum algorithms dealing with such curves build on a short Weierstrass form in combination with affine or projective coordinates. In this…

Quantum Physics · Physics 2013-12-05 Brittanney Amento , Rainer Steinwandt , Martin Roetteler

To improve the efficiency of Gaussian integral evaluation on modern accelerated architectures FLOP-efficient Obara-Saika-based recursive evaluation schemes are optimized for the memory footprint. For the 3-center 2-particle integrals that…

Computational Physics · Physics 2024-07-30 Andrey Asadchev , Edward F. Valeev

Iterative algorithms are widely used in digital signal processing applications. With the case study of radio astronomy calibration processing, this work contributes towards revealing and exploiting the intrinsic error resilience of…

Signal Processing · Electrical Eng. & Systems 2025-02-21 G. A. Gillani , A. Krapukhin , A. B. J. Kokkeler

Polynomial multiplication is fundamental in lattice-based cryptography. While the Number Theoretic Transform (NTT) enables fast multiplication, it imposes constraints on the modulus of the coefficient field. Hafiz et al. (2025) addressed…

Cryptography and Security · Computer Science 2026-05-19 Sakura Oku , Momonari Kudo

We present an iterative generalisation of the quantum subspace expansion algorithm used with a Krylov basis. The iterative construction connects a sequence of subspaces via their lowest energy states. Diagonalising a Hamiltonian in a given…

Quantum Physics · Physics 2025-05-07 Tom O'Leary , Lewis W. Anderson , Dieter Jaksch , Martin Kiffner

While FPGA is a suitable platform for implementing cryptographic algorithms, there are several challenges associated with implementing Optimal Ate pairing on FPGA, such as security, limited computing resources, and high power consumption.…

Cryptography and Security · Computer Science 2023-08-28 Oussama Azzouzi , Mohamed Anane , Mouloud Koudil , Mohamed Issad , Yassine Himeur

Fast Fourier transform (FFT) of large number of samples requires huge hardware resources of field programmable gate arrays (FPGA), which needs more area and power. In this paper, we present an area efficient architecture of FFT processor…

Hardware Architecture · Computer Science 2015-02-26 Atin Mukherjee , Amitabha Sinha , Debesh Choudhury

The SECP256K1 elliptic curve algorithm is fundamental in cryptocurrency wallets for generating secure public keys from private keys, thereby ensuring the protection and ownership of blockchain-based digital assets. However, the literature…

Cryptography and Security · Computer Science 2024-11-07 Joel Poncha Lemayian , Ghyslain Gagnon , Kaiwen Zhang , Pascal Giard

Short Weierstrass's elliptic curves with underlying hard Elliptic Curve Discrete Logarithm Problems was widely used in Cryptographic applications. This paper introduces a new security notation 'trusted security' for computation methods of…

Cryptography and Security · Computer Science 2022-08-04 Kunal Abhishek , E. George Dharma Prakash Raj

We use Shor's algorithm for the computation of elliptic curve private keys as a case study for resource estimates in the silicon-photonics-inspired active-volume architecture. Here, a fault-tolerant surface-code quantum computer consists of…

Quantum Physics · Physics 2023-06-16 Daniel Litinski

Solving and visualizing the potential roots of complex functions is essential in both theoretical and applied domains, yet often computationally intensive. We present a hardware-accelerated algorithm for complex function roots density graph…

Mathematical Software · Computer Science 2025-12-04 Ruibai Tang , Chengbin Quan

In this paper we present an approach to geometry calibration in wireless acoustic sensor networks, whose nodes are assumed to be equipped with a compact microphone array. The proposed approach solely works with estimates of the distances…

Audio and Speech Processing · Electrical Eng. & Systems 2021-04-15 Tobias Gburrek , Joerg Schmalenstroeer , Reinhold Haeb-Umbach

We present normal forms for elliptic curves over a field of characteristic $2$ analogous to Edwards normal form, and determine bases of addition laws, which provide strikingly simple expressions for the group law. We deduce efficient…

Number Theory · Mathematics 2016-01-15 David Kohel

Homomorphic Encryption (HE) enables users to securely outsource both the storage and computation of sensitive data to untrusted servers. Not only does HE offer an attractive solution for security in cloud systems, but lattice-based HE…

Cryptography and Security · Computer Science 2022-09-07 Kaustubh Shivdikar , Gilbert Jonatan , Evelio Mora , Neal Livesay , Rashmi Agrawal , Ajay Joshi , Jose Abellan , John Kim , David Kaeli

In this work novel results concerning Network-on-Chip-based turbo decoder architectures are presented. Stemming from previous publications, this work concentrates first on improving the throughput by exploiting adaptive-bandwidth reduction…

Hardware Architecture · Computer Science 2011-05-06 Maurizio Martina , Guido Masera