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We revisit the 3-pass code-based identification scheme proposed by Stern at Crypto'93, and give a new 5-pass protocol for which the probability of the cheater is 1/2 (instead of 2/3 in the original Stern's proposal). Furthermore, we propose…

Cryptography and Security · Computer Science 2010-01-19 Pierre-Louis Cayrel , Pascal Veron

In this paper, we study code-based signatures constructed from Proof of Knowledge (PoK). This line of work can be traced back to Stern who introduces the first efficient PoK for the syndrome decoding problem in 1993. Afterward, different…

Cryptography and Security · Computer Science 2022-01-17 Loïc Bidoux , Philippe Gaborit , Mukul Kulkarni , Victor Mateu

In Asiacrypt 2001, Courtois proposed the first three-pass zero-knowledge identification (ID) scheme based on the MinRank problem. However, in a single round of Courtois' ID scheme, the cheating probability, i.e., the success probability of…

Cryptography and Security · Computer Science 2022-05-09 Bagus Santoso , Yasuhiko Ikematsu , Shuhei Nakamura , Takanori Yasuda

In this study, we introduce a novel zero-knowledge identification scheme based on the hardness of the subgroup distance problem in the Hamming metric. The proposed protocol, named Subgroup Distance Zero Knowledge Proof (SDZKP), employs a…

Cryptography and Security · Computer Science 2024-08-02 Cansu Betin Onur

Recently, Cao et al. proposed a new quantum secure direct communication scheme using W state. In their scheme, the error rate introduced by an eavesdropper who takes intercept-resend attack, is only 8.3%. Actually, their scheme is just a…

Quantum Physics · Physics 2015-06-26 Jian Wang , Quan Zhang , Chao-jing Tang

A Zero-Knowledge Protocol (ZKP) allows one party to convince another party of a fact without disclosing any extra knowledge except the validity of the fact. For example, it could be used to allow a customer to prove their identity to a…

Quantum Physics · Physics 2023-04-20 Claude Crépeau , John Stuart

The ongoing NIST standardization process has shown that Proof of Knowledge (PoK) based signatures have become an important type of possible post-quantum signatures. Regarding code-based cryptography, the original approach for PoK based…

Cryptography and Security · Computer Science 2022-02-07 Loïc Bidoux , Philippe Gaborit , Mukul Kulkarni , Nicolas Sendrier

A new interactive quantum zero-knowledge protocol for identity authentication implementable in currently available quantum cryptographic devices is proposed and demonstrated. The protocol design involves a verifier and a prover knowing a…

It is notably challenging to design an efficient and secure signature scheme based on error-correcting codes. An approach to build such signature schemes is to derive it from an identification protocol through the Fiat-Shamir transform. All…

Information Theory · Computer Science 2019-04-22 Emanuele Bellini , Florian Caullery , Philippe Gaborit , Marc Manzano , Victor Mateu

Information-theoretically secure (ITS) authentication is needed in Quantum Key Distribution (QKD). In this paper, we study security of an ITS authentication scheme proposed by Wegman & Carter, in the case of partially known authentication…

Cryptography and Security · Computer Science 2014-09-25 Aysajan Abidin , Jan-Åke Larsson

Computationally hard problems based on coding theory, such as the syndrome decoding problem, have been used for constructing secure cryptographic schemes for a long time. Schemes based on these problems are also assumed to be secure against…

Cryptography and Security · Computer Science 2024-09-12 Puja Mondal , Supriya Adhikary , Suparna Kundu , Angshuman Karmakar

The syndrome decoding problem is one of the NP-complete problems lying at the foundation of code-based cryptography. The variant thereof where the distance between vectors is measured with respect to the Lee metric, rather than the more…

Cryptography and Security · Computer Science 2025-09-08 Mladen Kovačević , Tatjana Grbić , Darko Čapko , Nemanja Nedić , Srdjan Vukmirović

We propose a general way of constructing zero-knowledge authentication schemes from actions of a semigroup on a set, without exploiting any specific algebraic properties of the set acted upon. Then we give several concrete realizations of…

Cryptography and Security · Computer Science 2008-02-13 Dima Grigoriev , Vladimir Shpilrain

This study proposes a quantum secret authentication code for protecting the integrity of secret quantum states. Since BB84[1] was first proposed, the eavesdropper detection strategy in almost all quantum cryptographic protocols is based on…

Quantum Physics · Physics 2011-08-18 Tong-Xuan Wei , Tzonelih Hwang , Chia-Wei Tsai

We prove the unconditional security of the standard six-state scheme for quantum key distribution (QKD). We demonstrate its unconditional security up to a bit error rate of 12.7 percents, by allowing only one-way classical communications in…

Quantum Physics · Physics 2007-05-23 Hoi-Kwong Lo

This study proposes a lightweight Zero-Knowledge authentication model supported by QR codes. The approach is based on the Schnorr authentication protocol and provides an additional security layer against replay attacks through nonce and…

Cryptography and Security · Computer Science 2026-05-19 Hüseyin Bodur

We present a signature scheme based on the Syndrome-Decoding problem in rank metric. It is a construction from multi-party computation (MPC), using a MPC protocol which is a slight improvement of the linearized-polynomial protocol used in…

Cryptography and Security · Computer Science 2023-12-08 Loïc Bidoux , Jesús-Javier Chi-Domínguez , Thibauld Feneuil , Philippe Gaborit , Antoine Joux , Matthieu Rivain , Adrien Vinçotte

A secret key shared through quantum key distribution between two cooperative players is secure against any eavesdropping attack allowed by the laws of physics. Yet, such a key can be established only when the quantum channel error rate due…

Quantum Physics · Physics 2007-05-23 H. F. Chau

The safety of a quantum key distribution system relies on the fact that any eavesdropping attempt on the quantum channel creates errors in the transmission. For a given error rate, the amount of information that may have leaked to the…

Quantum Physics · Physics 2009-10-28 B. Huttner , N. Imoto , N. Gisin , T. Mor

A secret sharing scheme is a method to store information securely and reliably. Particularly, in a threshold secret sharing scheme, a secret is encoded into $n$ shares, such that any set of at least $t_1$ shares suffice to decode the…

Information Theory · Computer Science 2016-04-04 Wentao Huang , Michael Langberg , Joerg Kliewer , Jehoshua Bruck
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