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Entropically secure encryption is a way to encrypt a large plaintext with a small key and still have information-theoretic security, thus in a certain sense circumventing Shannon's result that perfect encryption requires the key to be at…

Quantum Physics · Physics 2025-07-01 Mehmet Huseyin Temel , Boris Skoric

We consider the problem of constructing an unconditionally secure cipher for the case when the key length is less than the length of the encrypted message. (Unconditional security means that a computationally unbounded adversary cannot…

Cryptography and Security · Computer Science 2021-12-21 Boris Ryabko

We present two new definitions of security for quantum ciphers which are inspired by the definition of entropic security and entropic indistinguishability defined by Dodis and Smith. We prove the equivalence of these two new definitions. We…

Quantum Physics · Physics 2011-11-09 Simon Pierre Desrosiers

Entropic uncertainty relations are quantitative characterizations of Heisenberg's uncertainty principle, which make use of an entropy measure to quantify uncertainty. In quantum cryptography, they are often used as convenient tools in…

Quantum Physics · Physics 2012-06-22 Niek J. Bouman , Serge Fehr , Carlos González-Guillén , Christian Schaffner

Shannon's fundamental bound for perfect secrecy says that the entropy of the secret message cannot be larger than the entropy of the secret key initially shared by the sender and the legitimate receiver. Massey gave an information theoretic…

Information Theory · Computer Science 2016-11-17 Siu-Wai Ho , Terence H. Chan , Alex Grant , Chinthani Uduwerelle

Most cryptosystems are defined over finite algebraic structures where arithmetic operations are performed modulo natural numbers. This applies to private key as well as to public key ciphers. No secure cryptosystems defined over the field…

Cryptography and Security · Computer Science 2016-02-16 Youssef Hassoun

This paper is the part-II of the previous paper and introduces the world of Yuen's concept. In the theory of cryptology, the Shannon impossibility theorem states that the upper bound of the security of a plaintext against a ciphertext-only…

Quantum Physics · Physics 2025-04-25 Osamu Hirota

By analogy with the developed cryptographic theory of discrete logarithm problems, we define several hard problems in Entropoid based cryptography, such as Discrete Entropoid Logarithm Problem (DELP), Computational Entropoid Diffie-Hellman…

Cryptography and Security · Computer Science 2021-04-13 Danilo Gligoroski

Entropically Secure Encryption (ESE) offers unconditional security with shorter keys compared to the One-Time Pad. In this paper, we present the first implementation of ESE for bulk encryption. The main computational bottleneck for bulk ESE…

Cryptography and Security · Computer Science 2024-11-15 Mehmet Hüseyin Temel , Boris Skoric , Idelfonso Tafur Monroy

Generating secure random numbers is a central problem in cryptography that needs a reliable source of enough computing entropy. Without enough entropy available - meaning no good source of secure random numbers - a device is susceptible to…

Cryptography and Security · Computer Science 2018-10-02 JV Roig

We consider the problem of constructing an unconditionally secure cipher with a short key for the case where the probability distribution of encrypted messages is unknown. Note that unconditional security means that an adversary with no…

Cryptography and Security · Computer Science 2023-03-28 Boris Ryabko

The previous work showed that the Y00 protocol could stay secure with the eavesdropper's guessing probability on the secret keys being strictly less than one under an unlimitedly long known-plaintext attack with quantum memory. However, an…

Cryptography and Security · Computer Science 2019-02-15 Takehisa Iwakoshi

In this paper, we investigate the index coding problem in the presence of an eavesdropper. Messages are to be sent from one transmitter to a number of legitimate receivers who have side information about the messages, and share a set of…

Information Theory · Computer Science 2016-11-17 Mohammad Mahdi Mojahedian , Mohammad Reza Aref , Amin Gohari

We present full generalisations of entropic security and entropic indistinguishability to the quantum world where no assumption but a limit on the knowledge of the adversary is made. This limit is quantified using the quantum conditional…

Quantum Physics · Physics 2010-04-16 Simon Pierre Desrosiers , Frédéric Dupuis

Hidden Markov chains are widely applied statistical models of stochastic processes, from fundamental physics and chemistry to finance, health, and artificial intelligence. The hidden Markov processes they generate are notoriously…

Chaotic Dynamics · Physics 2021-05-26 Alexandra M. Jurgens , James P. Crutchfield

Known key exchange schemes offering information-theoretic (unconditional) security are complex and costly to implement. Nonetheless, they remain the only known methods for achieving unconditional security in key exchange. Therefore, the…

Cryptography and Security · Computer Science 2024-02-27 Laszlo B. Kish

This paper proposes a novel entropy encoding technique for lossless data compression. Representing a message string by its lexicographic index in the permutations of its symbols results in a compressed version matching Shannon entropy of…

Information Theory · Computer Science 2017-03-24 Abu Bakar Siddique

This paper proposes a generic approach for providing enhanced security to communication systems which encode their data for reliability before encrypting it through a stream cipher for security. We call this counter-intuitive technique the…

Cryptography and Security · Computer Science 2010-08-06 Frederique Oggier , Miodrag J. Mihaljevic

Asymmetric password based key exchange is a key exchange protocol where a client and a server share a low entropic password while the server additionally owns a high entropic secret for a public key. There are simple solutions for this…

Cryptography and Security · Computer Science 2010-09-28 Shaoquan Jiang

This paper presents an enhanced post-quantum key agreement protocol based on R\'{e}nyi entropy, addressing vulnerabilities in the original construction while preserving information-theoretic security properties. We develop a theoretical…

Cryptography and Security · Computer Science 2026-03-10 Ruopengyu Xu , Chenglian Liu
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