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Some open questions related to prime reciprocal digit frequencies with potential applications to cryptography are presented.

General Mathematics · Mathematics 2009-03-24 Subhash Kak

In this paper will be presented new approach to entropy coding: family of generalizations of standard numeral systems which are optimal for encoding sequence of equiprobable symbols, into asymmetric numeral systems - optimal for freely…

Information Theory · Computer Science 2009-05-21 Jarek Duda

Semiconstrained systems were recently suggested as a generalization of constrained systems, commonly used in communication and data-storage applications that require certain offending subsequences be avoided. In an attempt to apply…

Information Theory · Computer Science 2016-10-25 Ohad Elishco , Tom Meyerovitch , Moshe Schwartz

In this paper the author presents a new cryptographic technique to exclude the repetitive terms in a message, when it is to be encrypted, so that it becomes almost impossible for a person to retrieve or predict the original message from the…

Cryptography and Security · Computer Science 2012-05-22 Somdip Dey

Prime numbers, whose properties are important subjects in mathematics, are also fundamental in computer science notably in IT security, Cryptocurrencies as Bitcoin and Blockchain, cryptography, Code theory notably Error detection codes,…

General Mathematics · Mathematics 2023-11-21 Ahmed Asimi

General cryptographic schemes are presented where keys can be one-time or ephemeral. Processes for key exchange are derived. Public key cryptographic schemes based on the new systems are easily established. Authentication and signature…

Cryptography and Security · Computer Science 2020-04-13 Ted Hurley

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

Protecting secure random key from eavesdropping in quantum key distribution protocols has been well developed. In this letter, we further study how to detect and eliminate eavesdropping on the random base string in such protocols. The…

Quantum Physics · Physics 2007-06-27 Kai Wen , Fu Guo Deng , Gui Lu Long

In cryptography, encryption is the process of obscuring information to make it unreadable without special knowledge. This is usually done for secrecy, and typically for confidential communications. Encryption can also be used for…

Category Theory · Mathematics 2024-04-15 Kostas Zotos , Andreas Litke

Authentication is a process by which an entity,which could be a person or intended computer,establishes its identity to another entity.In private and public computer networks including the Internet,authentication is commonly done through…

Cryptography and Security · Computer Science 2013-01-11 Maheswara Rao Valluri

In poly alphabetic substitution the plain texts letters are enciphered differently according to their position. The name poly alphabetic suggests that there are more than one key so we have used two keys combination instead of just one, in…

Cryptography and Security · Computer Science 2013-02-21 Avinash Sharma , Anurag Bhatnagar , Nikhar Tak , Anuradha Sharma , Jitendra Avasthi , Prerna sharma

A secret can be an encrypted message or a private key to decrypt the ciphertext. One of the main issues in cryptography is keeping this secret safe. Entrusting secret to one person or saving it in a computer can conclude betrayal of the…

Cryptography and Security · Computer Science 2017-05-10 Mohsen Moradi

An operating system kernel uses cryptographically secure pseudorandom number generator for creating address space localization randomization offsets to protect memory addresses to processes from exploration, storing users' password securely…

Cryptography and Security · Computer Science 2023-06-22 Kunal Abhishek , George Dharma Prakash Raj E

It has long been known that sequences such as the powers of $2$ and the factorials satisfy Benford's Law; that is, leading digits in these sequences occur with frequencies given by $P(d)=\log_{10}(1+1/d)$, $d=1,2,\dots,9$. In this paper, we…

Number Theory · Mathematics 2018-10-30 Zhaodong Cai , Matthew Faust , A. J. Hildebrand , Junxian Li , Yuan Zhang

Quantum repeaters are used to overcome the exponential photon loss scaling that quantum states acquire as they are transmitted over long distances. While repeaters for discrete variable encodings of quantum information have existed for some…

Quantum Physics · Physics 2022-08-08 Josephine Dias , Matthew S. Winnel , William J. Munro , Timothy C. Ralph , Kae Nemoto

Quantum information is a valuable resource which can be encrypted in order to protect it. We consider the size of the one-time pad that is needed to protect quantum information in a number of cases. The situation is dramatically different…

Quantum Physics · Physics 2009-11-10 Jonathan Oppenheim , Michal Horodecki

Based on Euclid's algorithm, we find a kind of special sequences which play an interesting role in the study of primes. We call them W Sequences. They not only ties up the distribution of primes in short interval but also enables us to give…

General Mathematics · Mathematics 2009-09-15 Shaohua Zhang

Encoding data structures store enough information to answer the queries they are meant to support but not enough to recover their underlying datasets. In this paper we give the first encoding data structure for the challenging problem of…

Data Structures and Algorithms · Computer Science 2017-02-21 Travis Gagie , Giovanni Manzini , Rossano Venturini

If the list of binary numbers is read by upward-sloping diagonals, the resulting ``sloping binary numbers'' 0, 11, 110, 101, 100, 1111, 1010, ... (or 0, 3, 6, 5, 4, 15, 10, ...) have some surprising properties. We give formulae for the n-th…

Number Theory · Mathematics 2016-08-16 David Applegate , Benoit Cloitre , Philippe Deléham , N. J. A. Sloane

This paper puts a new light on secure data storage inside distributed systems. Specifically, it revisits computational secret sharing in a situation where the encryption key is exposed to an attacker. It comes with several contributions:…

Cryptography and Security · Computer Science 2020-02-18 Katarzyna Kapusta , Gerard Memmi , Matthieu Rambaud
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