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We construct cryptographic trilinear maps that involve simple, non-ordinary abelian varieties over finite fields. In addition to the discrete logarithm problems on the abelian varieties, the cryptographic strength of the trilinear maps is…

Cryptography and Security · Computer Science 2018-05-09 Ming-Deh A. Huang

We consider a private distributed multiplication problem involving N computation nodes and T colluding nodes. Shamir's secret sharing algorithm provides perfect information-theoretic privacy, while requiring an honest majority, i.e., N \ge…

Information Theory · Computer Science 2025-12-10 Haoyang Hu , Viveck R. Cadambe

Physical Unclonable Functions (PUFs) are promising security primitives for resource-constrained network nodes. The XOR Arbiter PUF (XOR PUF or XPUF) is an intensively studied PUF invented to improve the security of the Arbiter PUF, probably…

Cryptography and Security · Computer Science 2022-06-06 Gaoxiang Li , Khalid T. Mursi , Ahmad O. Aseeri , Mohammed S. Alkatheiri , Yu Zhuang

Using a binary representation for basis elements of an algebra combined with a framework of multiplier and index functions, a connection has been established between the structure of a large class of algebras and the XOR componentwise…

Mathematical Physics · Physics 2025-09-30 Derek Courchesne , Sébastien Tremblay

Internet of Things is an ecosystem of interconnected devices that are accessible through the internet. The recent research focuses on adding more smartness and intelligence to these edge devices. This makes them susceptible to various kinds…

Deep neural networks perform well on real world data but are prone to adversarial perturbations: small changes in the input easily lead to misclassification. In this work, we propose an attack methodology not only for cases where the…

Machine Learning · Computer Science 2019-10-09 Aram-Alexandre Pooladian , Chris Finlay , Tim Hoheisel , Adam Oberman

Machine Learning (ML) and Deep Learning (DL) models have achieved state-of-the-art performance on multiple learning tasks, from vision to natural language modelling. With the growing adoption of ML and DL to many areas of computer science,…

Machine Learning · Computer Science 2019-06-11 Anshuman Chhabra , Abhishek Roy , Prasant Mohapatra

In this work, we propose a fully-binarized XOR-based IMSS (In-Memory Similarity Search) using RRAM (Resistive Random Access Memory) arrays. XOR (Exclusive OR) operation is realized using 2T-2R bitcells arranged along the column in an array.…

Emerging Technologies · Computer Science 2022-09-20 Sandeep Kaur Kingra , Vivek Parmar , Deepak Verma , Alessandro Bricalli , Giuseppe Piccolboni , Gabriel Molas , Amir Regev , Manan Suri

Counting distinct permutations with replacement, especially when involving multiple subwords, is a longstanding challenge in combinatorial analysis, with critical applications in cryptography, bioinformatics, and statistical modeling. This…

Cryptography and Security · Computer Science 2024-11-27 Martin Mathew , Javier Noda

As NIST is putting the final touches on the standardization of PQC (Post Quantum Cryptography) public key algorithms, it is a racing certainty that peskier cryptographic attacks undeterred by those new PQC algorithms will surface. Such a…

Cryptography and Security · Computer Science 2023-11-16 Jong-Yeon Park , Jang-Won Ju , Wonil Lee , Bo-Gyeong Kang , Yasuyuki Kachi , Kouichi Sakurai

The security of deep learning (DL) systems is an extremely important field of study as they are being deployed in several applications due to their ever-improving performance to solve challenging tasks. Despite overwhelming promises, the…

Machine Learning · Computer Science 2022-08-19 Manaar Alam , Shubhajit Datta , Debdeep Mukhopadhyay , Arijit Mondal , Partha Pratim Chakrabarti

Full-duplex systems require very strong self-interference cancellation in order to operate correctly and a significant part of the self-interference signal is due to non-linear effects created by various transceiver impairments. As such,…

Signal Processing · Electrical Eng. & Systems 2018-10-08 Alexios Balatsoukas-Stimming

Proof of work blockchain protocols using multiple hash types are considered. It is proven that the security region of such a protocol cannot be the AND of a 51\% attack on all the hash types. Nevertheless, a protocol called Merged Bitcoin…

Cryptography and Security · Computer Science 2026-01-15 Christopher Blake , Chen Feng , Xuachao Wang , Qianyu Yu

Scientific collaborations benefit from collaborative learning of distributed sources, but remain difficult to achieve when data are sensitive. In recent years, privacy preserving techniques have been widely studied to analyze distributed…

Cryptography and Security · Computer Science 2022-06-30 Guanhong Miao , A. Adam Ding , Samuel S. Wu

We introduce and analyze a novel class of binary operations on finite-dimensional vector spaces over a field K, defined by second-order multilinear expressions with linear shifts. These operations generate polynomials whose degree increases…

General Mathematics · Mathematics 2025-07-08 Stanislav Semenov

The use of permutation polynomials has appeared, along to their compositional inverses, as a good choice in the implementation of cryptographic systems. Hence, there has been a demand for constructions of these polynomials which…

Number Theory · Mathematics 2020-06-01 Gustavo Terra Bastos

Fourier transform is an essential ingredient in Shor's factoring algorithm. In the standard quantum circuit model with the gate set $\{\U(2), \textrm{CNOT}\}$, the discrete Fourier transforms $F_N=(\omega^{ij})_{N\times N},i,j=0,1,..., N-1,…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Michael H. Freedman , Zhenghan Wang

Since fully homomorphic encryption and homomorphically encrypted computing preserve algebraic identities such as 2*2=2+2, a natural question is whether this extremely utilitarian feature also sets up cryptographic attacks that use the…

Cryptography and Security · Computer Science 2014-11-19 Peter T. Breuer , Jonathan P. Bowen

We introduce a natural generalization of the golden cryptography, which uses general unimodular matrices in place of the traditional Q-matrices, and prove that it preserves the original error correction properties of the encryption.…

Cryptography and Security · Computer Science 2022-06-24 Sergiy Koshkin , Taylor Styers

A permutationally invariant n-bit code for quantum error correction can be realized as a subspace stabilized by the non-Abelian group S_n. The code corresponds to bases for the trivial representation, and all other irreducible…

Quantum Physics · Physics 2007-05-23 Harriet Pollatsek , Mary Beth Ruskai
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