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We introduce a new family of rank metric codes: Low Rank Parity Check codes (LRPC), for which we propose an efficient probabilistic decoding algorithm. This family of codes can be seen as the equivalent of classical LDPC codes for the rank…

Information Theory · Computer Science 2019-04-02 Nicolas Aragon , Philippe Gaborit , Adrien Hauteville , Olivier Ruatta , Gilles Zémor

In this paper, we present a simple bare-bones solution of a Zero-Knowledge authentication protocol which uses non-commutative algebra and a variation of the generalized symmetric decomposition problem (GSDP) as a one-way function. The…

Cryptography and Security · Computer Science 2017-03-28 Pedro Hecht

Zero-knowledge proof (ZKP) is a fundamental cryptographic primitive that allows a prover to convince a verifier of the validity of a statement without leaking any further information. As an efficient variant of ZKP, non-interactive…

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

We propose a novel digital signature cryptosystem that exploits the concept of the brute-force problem. To ensure the security of the cryptosystem, we employed several mechanisms: sharing a common secret for factorable permutations,…

Cryptography and Security · Computer Science 2026-01-13 Gennady Khalimov , Yevgen Kotukh

Nowadays, equivalence problems are widely used in cryptography, most notably to establish cryptosystems such as digital signatures, with MEDS, LESS, PERK as the most recent ones. However, in the context of matrix codes, only the code…

Cryptography and Security · Computer Science 2025-07-22 Magali Bardet , Charles Brion , Philippe Gaborit , Mercedes Haiech , Romaric Neveu

We introduce a new form of restricted term rewrite system, the graph-embedded term rewrite system. These systems, and thus the name, are inspired by the graph minor relation and are more flexible extensions of the well-known…

Logic in Computer Science · Computer Science 2026-05-13 Carter Bunch , Saraid Dwyer Satterfield , Serdar Erbatur , Andrew M. Marshall , Christophe Ringeissen

Signature kernels have emerged as a powerful tool within kernel methods for sequential data. In the paper "The Signature Kernel is the solution of a Goursat PDE", the authors identify a kernel trick that demonstrates that, for continuously…

Numerical Analysis · Mathematics 2026-01-19 Thomas Cass , Francesco Piatti , Jeffrey Pei

The problem of blind identification of channel codes at a receiver involves identifying a code chosen by a transmitter from a known code-family, by observing the transmitted codewords through the channel. Most existing approaches for…

Information Theory · Computer Science 2026-03-04 Pramod Singh , Prasad Krishnan , Arti Yardi

We present an approach to random access that is based on three elements: physical-layer network coding, signature codes and tree splitting. Upon occurrence of a collision, physical-layer network coding enables the receiver to decode the sum…

Information Theory · Computer Science 2014-09-25 Jasper Goseling , Cedomir Stefanovic , Petar Popovski

Blind signature schemes enable a useful protocol that guarantee the anonymity of the participants while Signcryption offers authentication of message and confidentiality of messages at the same time and more efficiently. In this paper, we…

Cryptography and Security · Computer Science 2007-05-23 Amit K Awasthi , Sunder Lal

Englisch: In this paper we study the paillier cryptosystem and derive form it to new schemes. First we transform the signature of paillier in a Blind signature. Secondly we propose a three-pass protocol wich use the homomorphic property…

Cryptography and Security · Computer Science 2012-06-07 Tueno Anselme

MPC-in-the-Head (MitH) is a general framework that allows constructing efficient Zero Knowledge protocols for general NP-relations from secure multiparty computation (MPC) protocols. In this paper we give the first machine-checked…

Cryptography and Security · Computer Science 2021-05-21 José Carlos Bacelar Almeida , Manuel Barbosa , Karim Eldefrawy , Stéphane Graham-Lengrand , Hugo Pacheco , Vitor Pereira

In this paper, we introduce the signed barcode, a new visual representation of the global structure of the rank invariant of a multi-parameter persistence module or, more generally, of a poset representation. Like its unsigned counterpart…

Algebraic Topology · Mathematics 2024-08-23 Magnus Bakke Botnan , Steffen Oppermann , Steve Oudot

In this letter, we propose a reliability-based windowed decoding scheme for spatially-coupled (SC) low-density parity-check (LDPC) codes. To mitigate the error propagation along the sliding windowed decoder of the SC LDPC codes, a partial…

Information Theory · Computer Science 2018-05-10 Peng Kang , Yixuan Xie , Lei Yang , Jinhong Yuan

Given a relation and a ranking of its tuples, but no information about the ranking function, we are interested in synthesizing simple scoring functions that reproduce the ranking. Our system RankHow identifies linear scoring functions that…

Databases · Computer Science 2025-04-30 Zixuan Chen , Panagiotis Manolios , Mirek Riedewald

With the proliferation of decentralized applications (DApps), the conflict between the transparency of blockchain technology and user data privacy has become increasingly prominent. While Decentralized Identity (DID) and Verifiable…

Cryptography and Security · Computer Science 2025-10-14 Hui Yuan

In this paper, we propose a low-rank coordinate descent approach to structured semidefinite programming with diagonal constraints. The approach, which we call the Mixing method, is extremely simple to implement, has no free parameters, and…

Optimization and Control · Mathematics 2026-05-12 Po-Wei Wang , Wei-Cheng Chang , J. Zico Kolter

In this work we investigate the use of the Signature Transform in the context of Learning. Under this assumption, we advance a supervised framework that potentially provides state-of-the-art classification accuracy with the use of few…

Computer Vision and Pattern Recognition · Computer Science 2022-05-20 J. de Curtò , I. de Zarzà , Hong Yan , Carlos T. Calafate

In this paper, we propose a new signature scheme based on a punctured Reed--Muller (RM) code with random insertion, which improves the Goppa code-based signature scheme developed by Courtois, Finiasz, and Sendrier (CFS). The CFS signature…

Cryptography and Security · Computer Science 2017-11-02 Wijik Lee , Young-Sik Kim , Jong-Seon No