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The main practical limitation of the McEliece public-key encryption scheme is probably the size of its key. A famous trend to overcome this issue is to focus on subclasses of alternant/Goppa codes with a non trivial automorphism group. Such…

Information Theory · Computer Science 2014-05-21 Jean-Charles Faugère , Ayoub Otmani , Ludovic Perret , Frédéric de Portzamparc , Jean-Pierre Tillich

We present a quantum probabilistic encryption algorithm for a private-key encryption scheme based on conjugate coding of the qubit string. A probabilistic encryption algorithm is generally adopted in public-key encryption protocols. Here we…

Quantum Physics · Physics 2013-02-28 Li Yang , Chong Xiang , Bao Li

The modified Paillier cryptosystem has become extremely popular and applied in many fields, owning to its additive homomorphism. This cryptosystem provides weak private keys and a strong private key. A weak private key only can decrypt…

Cryptography and Security · Computer Science 2019-12-20 Xiaojuan Dong , Weiming Zhang , Mohsin Shah , Bei Wang , Nenghai Yu

Light nodes are clients in blockchain systems that only store a small portion of the blockchain ledger. In certain blockchains, light nodes are vulnerable to a data availability (DA) attack where a malicious node makes the light nodes…

Information Theory · Computer Science 2022-08-30 Debarnab Mitra , Lev Tauz , Lara Dolecek

We discuss error-correction properties for families of quantum low-density parity check (LDPC) codes with relative distance that tends to zero in the limit of large blocklength. In particular, we show that any family of LDPC codes, quantum…

Quantum Physics · Physics 2013-03-05 Alexey A. Kovalev , Leonid P. Pryadko

We propose an efficient quantum key distribution protocol based on the photon-pair generation from parametric down-conversion (PDC). It uses the same experimental setup as the conventional protocol, but a refined data analysis enables…

Quantum Physics · Physics 2009-11-13 Yoritoshi Adachi , Takashi Yamamoto , Masato Koashi , Nobuyuki Imoto

High-rate quantum error correcting (QEC) codes with moderate overheads in qubit number and control complexity are highly desirable for achieving fault-tolerant quantum computing. Recently, quantum error correction has experienced…

Quantum Physics · Physics 2025-01-31 Laura Pecorari , Sven Jandura , Gavin K. Brennen , Guido Pupillo

Reconciliation is an important step to correct errors in Quantum Key Distribution (QKD). In QKD, after comparing basis, two legitimate parties possess two correlative keys which have some differences and they could obtain identical keys…

Quantum Physics · Physics 2013-05-28 Zhengchao Wei , Zhi Ma

Data-dependent access patterns of an application to an untrusted storage system are notorious for leaking sensitive information about the user's data. Previous research has shown how an adversary capable of monitoring both read and write…

Cryptography and Security · Computer Science 2017-06-20 Tara Merin John , Syed Kamran Haider , Hamza Omar , Marten van Dijk

An improved design of a cryptosystem based on small Ree groups is proposed. We have changed the encryption algorithm and propose to use a logarithmic signature for the entire Ree group. This approach improves security against sequential key…

Cryptography and Security · Computer Science 2025-04-28 Gennady Khalimov , Yevgen Kotukh

A long standing open question is whether the distinguisher of high rate alternant codes or Goppa codes \cite{FGOPT11} can be turned into an algorithm recovering the algebraic structure of such codes from the mere knowledge of an arbitrary…

Information Theory · Computer Science 2023-05-30 Magali Bardet , Rocco Mora , Jean-Pierre Tillich

In this paper, a code-based public-key cryptosystem based on interleaved Goppa codes is presented. The scheme is based on encrypting several ciphertexts with the same Goppa code and adding a burst error to them. Possible attacks are…

Information Theory · Computer Science 2018-09-11 Molka Elleuch , Antonia Wachter-Zeh , Alexander Zeh

Despite the linearity of its encoding, compressed sensing may be used to provide a limited form of data protection when random encoding matrices are used to produce sets of low-dimensional measurements (ciphertexts). In this paper we…

Information Theory · Computer Science 2016-11-15 Valerio Cambareri , Mauro Mangia , Fabio Pareschi , Riccardo Rovatti , Gianluca Setti

The combinative applications of one-way coupled map lattice (OCML) and some simple algebraic operations have demonstrated to be able to construct the best known chaotic cryptosystem with high practical security, fast encryption speed, and…

Chaotic Dynamics · Physics 2007-05-23 Jiantao Zhou , Wenjiang Pei , Jie Huang , Aiguo Song , Zhenya He

Lifted Reed-Solomon codes and multiplicity codes are two classes of evaluation codes that allow for the design of high-rate codes that can recover every codeword or information symbol from many disjoint sets. Recently, the underlying…

Information Theory · Computer Science 2020-10-30 Lukas Holzbaur , Rina Polyanskaya , Nikita Polyanskii , Ilya Vorobyev , Eitan Yaakobi

Information reconciliation protocol has a significant effect on the secret key rate and maximal transmission distance of continuous-variable quantum key distribution (CV-QKD) systems. We propose an efficient rate-adaptive reconciliation…

Quantum Physics · Physics 2018-04-12 Xiangyu Wang , Yi-Chen Zhang , Zhengyu Li , Bingjie Xu , Song Yu , Hong Guo

Security against simple eavesdropping attacks is demonstrated for a recently proposed quantum key distribution protocol which uses the Fibonacci recursion relation to enable high-capacity key generation with entangled photon pairs. No…

Quantum Physics · Physics 2015-04-13 David S. Simon , Casey Fitzpatrick , Alexander V. Sergienko

In recent years, the elliptic curve Qu-Vanstone (ECQV) implicit certificate scheme has found application in security credential management systems (SCMS) and secure vehicle-to-everything (V2X) communication to issue pseudonymous…

Cryptography and Security · Computer Science 2025-07-16 Abel C. H. Chen

New near-capacity continuous-variable quantum key distribution (CV-QKD) reconciliation schemes are proposed, where both the authenticated classical channel (ClC) and the quantum channel (QuC) for QKD are protected by separate forward error…

Quantum Physics · Physics 2024-03-26 Xin Liu , Chao Xu , Yasir Noori , Soon Xin Ng , Lajos Hanzo

Quantum-based cryptographic protocols are often said to enjoy security guaranteed by the fundamental laws of physics. However, even carefully designed quantum-based cryptographic schemes may be susceptible to subtle attacks that are outside…

Quantum Physics · Physics 2007-05-23 Hoi-Kwong Lo , Tsz-Mei Ko
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