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This paper proposes an alternative approach to formally establishing the correctness of the RSA public key cryptosystem. The methodology presented herein deviates slightly from conventional proofs found in existing literature. Specifically,…

Cryptography and Security · Computer Science 2026-01-01 Dar-jen Chang , Suranjan Gautam

This article presents an encryption scheme based on the small Ree groups. We propose utilizing the small Ree group structure to enhance the overall security parameters of the encryption scheme. By extending the logarithmic signature to…

Cryptography and Security · Computer Science 2025-04-16 Gennady Khalimov , Yevgen Kotukh

This paper proposed the application of post-encryption-compression (PEC) to strengthen the secrecy in the case of distributed encryption where the encryption keys are correlated to each other. We derive the universal code construction for…

Information Theory · Computer Science 2018-01-17 Bagus Santoso , Yasutada Oohama

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

Confidentiality in our digital world is based on the security of cryptographic algorithms. These are usually executed transparently in the background, with people often relying on them without further knowledge. In the course of…

Cryptography and Security · Computer Science 2023-11-28 Peter Hillmann

Bogdanov and Lee suggested a homomorphic public-key encryption scheme based on error correcting codes. The underlying public code is a modified Reed-Solomon code obtained from inserting a zero submatrix in the Vandermonde generating matrix…

Cryptography and Security · Computer Science 2012-04-02 Valérie Gauthier , Ayoub Otmani , Jean-Pierre Tillich

We give polynomial time attacks on the McEliece public key cryptosystem based either on algebraic geometry (AG) codes or on small codimensional subcodes of AG codes. These attacks consist in the blind reconstruction either of an Error…

Information Theory · Computer Science 2017-06-06 Alain Couvreur , Irene Márquez-Corbella , Ruud Pellikaan

Post-quantum cryptography-PQC- aims to develop public-key primitives that are secure against adversaries using classical and quantum computing technologies. This study introduces novel protocols, a key encapsulation mechanism, a digital…

Cryptography and Security · Computer Science 2026-01-05 Juan Pedro Hecht , Hugo Daniel Scolnik

We introduce the notion of public key encryption with secure key leasing (PKE-SKL). Our notion supports the leasing of decryption keys so that a leased key achieves the decryption functionality but comes with the guarantee that if the…

Quantum Physics · Physics 2023-04-07 Shweta Agrawal , Fuyuki Kitagawa , Ryo Nishimaki , Shota Yamada , Takashi Yamakawa

An innovative strategy to enhance the security of symmetric substitution ciphers is presented, through the implementation of a randomized key matrix suitable for various file formats, including but not limited to binary and text files.…

Cryptography and Security · Computer Science 2023-12-01 Shubham Gandhi , Om Khare , Mihika Dravid , Mihika Sanghvi , Sunil Mane , Aadesh Gajaralwar , Saloni Gandhi

Exploring the symmetries underlying a previously proposed encryption scheme which relies on single-qubit rotations, we derive an improved upper bound on the maximum information that an eavesdropper might extract from all the available…

Quantum Physics · Physics 2012-03-02 U. Seyfarth , G. M. Nikolopoulos , G. Alber

In this paper, we define and discuss {\phi}-cyclic code, which may be regarded as a general form of the ordinary cyclic code. As applications, we explain how to extend two public key encryption schemes, one is McEliece and Niederriter's…

Information Theory · Computer Science 2021-12-30 Zhiyong Zheng , Wenlin Huang , Jie Xu , Kun Tian

Goppa Codes are a well-known class of codes with, among others, applications in code-based cryptography. In this paper, we present a collaborative decoding algorithm for interleaved Goppa codes (IGC). Collaborative decoding increases the…

Information Theory · Computer Science 2019-09-05 Lukas Holzbaur , Hedongliang Liu , Sven Puchinger , Antonia Wachter-Zeh

This paper gives the definition and property of a bit-pair shadow, and devises the three algorithms of a public key cryptoscheme called JUOAN that is based on a multivariate permutation problem and an anomalous subset product problem to…

Cryptography and Security · Computer Science 2017-05-02 Shenghui Su , Shuwang Lu , Maozhi Xu , Tao Xie

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

This paper puts forward a safe mechanism of data transmission to tackle the security problem of information which is transmitted in Internet. The encryption standards such as DES (Data Encryption Standard), AES (Advanced Encryption…

Cryptography and Security · Computer Science 2011-10-11 Shaik Rasool , G. Sridhar , K. Hemanth Kumar , P. Ravi Kumar

Large-scale quantum computing is a significant threat to classical public-key cryptography. In strong "quantum access" security models, numerous symmetric-key cryptosystems are also vulnerable. We consider classical encryption in a model…

Quantum Physics · Physics 2021-05-14 Gorjan Alagic , Stacey Jeffery , Maris Ozols , Alexander Poremba

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

We construct a public-key encryption scheme from the hardness of the (planted) MinRank problem over uniformly random instances. This corresponds to the hardness of decoding random linear rank-metric codes. Existing constructions of…

Cryptography and Security · Computer Science 2025-10-07 Rohit Chatterjee , Changrui Mu , Prashant Nalini Vasudevan

The improvements on quantum technology are threatening our daily cybersecurity, as a capable quantum computer can break all currently employed asymmetric cryptosystems. In preparation for the quantum-era the National Institute of Standards…

Cryptography and Security · Computer Science 2024-07-18 Violetta Weger , Niklas Gassner , Joachim Rosenthal