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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

Recently, a few chosen-ciphertext secure (CCA2-secure) variants of the McEliece public-key encryption (PKE) scheme in the standard model were introduced. All the proposed schemes are based on encryption repetition paradigm and use general…

Cryptography and Security · Computer Science 2013-09-10 Roohallah Rastaghi

Sharding, i.e. splitting the miners or validators to form and run several subchains in parallel, is known as one of the main solutions to the scalability problem of blockchains. The drawback is that as the number of miners expanding each…

Cryptography and Security · Computer Science 2021-08-23 Nastaran Abadi Khooshemehr , Mohammad Ali Maddah-Ali

In this paper we study the security of the key of compact McEliece schemes based on alternant/Goppa codes with a non-trivial permutation group, in particular quasi-cyclic alternant codes. We show that it is possible to reduce the…

Information Theory · Computer Science 2018-03-15 Elise Barelli

Reed--Solomon error-correcting codes are ubiquitous across computer science and information theory, with applications in cryptography, computational complexity, communication and storage systems, and more. Most works on efficient error…

Information Theory · Computer Science 2025-10-14 Chris Peikert , Alexandra Veliche Hostetler

Interleaved Reed-Solomon codes admit efficient decoding algorithms which correct burst errors far beyond half the minimum distance in the random errors regime, e.g., by computing a common solution to the Key Equation for each Reed-Solomon…

In this paper, we present a generic attack for ciphers, which is in essence a collision attack on the secret keys of ciphers .

Cryptography and Security · Computer Science 2009-03-21 An-Ping Li

In this paper, we present a deterministic attack on (EC)DSA signature scheme, providing that several signatures are known such that the corresponding ephemeral keys share a certain amount of bits without knowing their value. By eliminating…

Cryptography and Security · Computer Science 2023-07-11 M. Adamoudis , K. A. Draziotis , D. Poulakis

We solve an open question in code-based cryptography by introducing two provably secure group signature schemes from code-based assumptions. Our basic scheme satisfies the CPA-anonymity and traceability requirements in the random oracle…

Cryptography and Security · Computer Science 2020-02-19 Martianus Frederic Ezerman , Hyung Tae Lee , San Ling , Khoa Nguyen , Huaxiong Wang

This study addresses the use of Reed-Solomon error correction codes in QR codes to enhance resilience against failures. To fully grasp this approach, a basic cryptographic context is provided, necessary for understanding Reed-Solomon codes.…

Information Theory · Computer Science 2024-07-25 Bhavuk Sikka Bajaj

A fault injection framework for the decryption algorithm of the Niederreiter public-key cryptosystem using binary irreducible Goppa codes and classical decoding techniques is described. In particular, we obtain low-degree polynomial…

Information Theory · Computer Science 2023-06-22 Julian Danner , Martin Kreuzer

The paper presents a comprehensive study of group codes from non-abelian split metacyclic group algebras. We derive an explicit Wedderburn-like decomposition of finite split metacyclic group algebras over fields with characteristic coprime…

Information Theory · Computer Science 2025-04-17 Kirill Vedenev

Remote Code Execution (RCE) exploits pose a significant threat to AI and ML systems, particularly in GPU-accelerated environments where the computational power of GPUs can be misused for malicious purposes. This paper focuses on RCE attacks…

Cryptography and Security · Computer Science 2025-02-18 Ariel Szabo , Uzy Hadad

In this paper, we have proposed a public key cryptography using recursive block matrices involving generalized Fibonacci numbers over a finite field Fp. For this, we define multinacci block matrices, a type of upper triangular matrix…

Cryptography and Security · Computer Science 2022-04-20 Munesh Kumari , Jagmohan Tanti

We propose a cipher similar to the One Time Pad and McEliece cipher based on a subband coding scheme. The encoding process is an approximation to the One Time Pad encryption scheme. We present results of numerical experiments which suggest…

Cryptography and Security · Computer Science 2007-05-23 Ryan Harkins , Eric Weber , Andrew Westmeyer

Blockchains and other public ledger structures promise a new way to create globally consistent event logs and other records. We make use of this consistency property to detect and prevent man-in-the-middle attacks in a key exchange such as…

Cryptography and Security · Computer Science 2017-08-14 Thanh Bui , Tuomas Aura

In this paper we show that it is possible to extend the framework of Persichetti's code-based framework and create a secure KEM based on the McEliece protocol. This provides greater flexibility in the application of coding theory as a basis…

Cryptography and Security · Computer Science 2018-02-15 Edoardo Persichetti

A new computational private information retrieval (PIR) scheme based on random linear codes is presented. A matrix of messages from a McEliece scheme is used to query the server with carefully chosen errors. The server responds with the sum…

Information Theory · Computer Science 2020-05-15 Lukas Holzbaur , Camilla Hollanti , Antonia Wachter-Zeh

We introduce a novel post-quantum sanitizable signature scheme constructed upon a chameleon hash function derived from the McEliece cryptosystem. In this design, the designated sanitizer possesses the inherent trapdoor of a Goppa code,…

Cryptography and Security · Computer Science 2026-02-25 Shahzad Ahmad , Stefan Rass , Zahra Seyedi

The HQC encryption framework is a general code-based encryption scheme for which decryption returns a noisy version of the plaintext. Any instantiation of the scheme will therefore use an error-correcting procedure relying on a fixed…

Cryptography and Security · Computer Science 2020-05-22 Nicolas Aragon , Philippe Gaborit , Gilles Zémor