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Related papers: Oblivious Transfer using Elliptic Curves

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Oblivious transfer has been the interest of study as it can be used as a building block for multiparty computation. There are many forms of oblivious transfer; we explore a variant known as Rabin oblivious transfer. Here the sender Alice…

Quantum Physics · Physics 2024-08-23 James T. Peat , Erika Andersson

This paper investigates information-theoretic oblivious transfer via a discrete memoryless broadcast channel with one sender and two receivers. We analyze both non-colluding and colluding honest-but-curious user models and establish general…

Information Theory · Computer Science 2025-10-30 Hadi Aghaee , Christian Deppe , Holger Boche

We consider oblivious transfer protocols performed over binary symmetric channels in a malicious setting where parties will actively cheat if they can. We provide constructions purely based on coding theory that achieve an explicit positive…

Information Theory · Computer Science 2020-09-01 Frédérique Oggier , Gilles Zémor

This paper introduces a special family of randomized algorithms for Max DICUT that we call oblivious algorithms. Let the bias of a vertex be the ratio between the total weight of its outgoing edges and the total weight of all its edges. An…

Data Structures and Algorithms · Computer Science 2010-10-05 Uriel Feige , Shlomo Jozeph

The oblivious transfer primitive is sufficient to implement secure multiparty computation. However, secure multiparty computation based only on classical cryptography is severely limited by the security and efficiency of the oblivious…

Oblivious transfer, a central functionality in modern cryptography, allows a party to send two one-bit messages to another who can choose one of them to read, remaining ignorant about the other, whereas the sender does not learn the…

Quantum Physics · Physics 2007-05-23 Stefan Wolf , Jürg Wullschleger

Cryptographic protocols are the backbone of our information society. This includes two-party protocols which offer protection against distrustful players. Such protocols can be built from a basic primitive called oblivious transfer. We…

The bounded storage model restricts the memory of an adversary in a cryptographic protocol, rather than restricting its computational power, making information theoretically secure protocols feasible. We present the first protocols for…

Cryptography and Security · Computer Science 2017-10-25 Rafael Dowsley , Felipe Lacerda , Anderson C. A. Nascimento

Oblivious transfer is a powerful cryptographic primitive that is complete for secure multi-party computation. In oblivious transfer protocols a user sends one or more messages to a receiver, while the sender remains oblivious as to which…

Quantum Physics · Physics 2015-11-27 Filippos Vogiatzian

Rabin oblivious transfer is the cryptographic task where Alice wishes to receive a bit from Bob but it may get lost with probability 1/2. In this work, we provide protocol designs which yield quantum protocols with improved security.…

Quantum Physics · Physics 2025-07-08 Erika Andersson , Akshay Bansal , James T. Peat , Jamie Sikora , Jiawei Wu

Motivated by the applications of secure multiparty computation as a privacy-protecting data analysis tool, and identifying oblivious transfer as one of its main practical enablers, we propose a practical realization of randomized quantum…

All existing quantum oblivious transfer protocols are to realize the oblivious transfer of bit or bit-string. In this paper, p-Rabin quantum oblivious transfer of a qubit (abbr. p-Rabin qubit-OT) is achieved by using a probabilistic…

Quantum Physics · Physics 2018-08-01 Zhang MeiLing , Li Jin , Liu YuanHua , Shi sha , Zheng Dong , Zheng QingJi , Nie Min

A framework is proposed for the design and analysis of \emph{network-oblivious algorithms}, namely, algorithms that can run unchanged, yet efficiently, on a variety of machines characterized by different degrees of parallelism and…

Data Structures and Algorithms · Computer Science 2014-04-15 Gianfranco Bilardi , Andrea Pietracaprina , Geppino Pucci , Michele Scquizzato , Francesco Silvestri

Oblivious linear evaluation is a generalization of oblivious transfer, whereby two distrustful parties obliviously compute a linear function, f (x) = ax + b, i.e., each one provides their inputs that remain unknown to the other, in order to…

Quantum Physics · Physics 2024-10-23 Manuel B. Santos , Paulo Mateus , Chrysoula Vlachou

In this paper we present, using the arithmetic of elliptic curves over finite fields, an algorithm for the efficient generation of a sequence of uniform pseudorandom vectors in high dimensions, that simulates a sample of a sequence of…

Probability · Mathematics 2022-10-11 Chung Pang Mok

We introduce a quantum algorithm for computing the Ollivier Ricci curvature, a discrete analogue of the Ricci curvature defined via optimal transport on graphs and general metric spaces. This curvature has seen applications ranging from…

Quantum Physics · Physics 2025-12-11 Nhat A. Nghiem , Linh Nguyen , Tuan K. Do , Tzu-Chieh Wei , Trung V. Phan

Oblivious routing is a well-studied paradigm that uses static precomputed routing tables for selecting routing paths within a network. Existing oblivious routing schemes with polylogarithmic competitive ratio for general networks are…

Data Structures and Algorithms · Computer Science 2023-12-14 Gramoz Goranci , Monika Henzinger , Harald Räcke , Sushant Sachdeva , A. R. Sricharan

In previous research, quantum resources were concretely estimated for solving Elliptic Curve Discrete Logarithm Problem(ECDLP). In [1], the quantum algorithm was optimized for the binary elliptic curves and the main optimization target was…

Quantum Physics · Physics 2023-03-14 Hyeonhak Kim , Seokhie Hong

An algorithm is given to compute a normal form for hyperelliptic curves. The elliptic case has been treated in a previous paper. In this paper the hyperelliptic case is treated.

Algebraic Geometry · Mathematics 2007-05-23 Mark van Hoeij

We present novel oblivious routing algorithms for both splittable and unsplittable multicommodity flow. Our algorithm for minimizing congestion for \emph{unsplittable} multicommodity flow is the first oblivious routing algorithm for this…

Data Structures and Algorithms · Computer Science 2017-12-07 Michael Schapira , Gal Shahaf