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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

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

This work shows how two parties A and B can securely share sequences of random bits at optical speeds. A and B possess true-random physical sources and exchange random bits by using a random sequence received to cipher the following one to…

Quantum Physics · Physics 2009-11-07 Geraldo A. Barbosa

Although one-time pad encrypted files can be sent through Internet channels, the need for renewing shared secret keys have made this method unpractical. This work presents a scheme to turn practical the fast sharing of random keys over…

Quantum Physics · Physics 2007-05-23 Geraldo A. Barbosa

Simple Monte Carlo is a versatile computational method with a convergence rate of $O(n^{-1/2})$. It can be used to estimate the means of random variables whose distributions are unknown. Bernoulli random variables, $Y$, are widely used to…

Numerical Analysis · Mathematics 2014-11-06 Lan Jiang , Fred J. Hickernell

Peres algorithm applies the famous von Neumann trick recursively to produce unbiased random bits from biased coin tosses. Its recursive nature makes the algorithm simple and elegant, and yet its output rate approaches the…

Data Structures and Algorithms · Computer Science 2018-05-23 Sung-il Pae

An analysis of steganographic systems subject to the following perfect undetectability condition is presented in this paper. Following embedding of the message into the covertext, the resulting stegotext is required to have exactly the same…

Information Theory · Computer Science 2016-11-17 Ying Wang , Pierre Moulin

We characterize the complete set of protocols that may be used to securely encrypt n quantum bits using secret and random classical bits. In addition to the application of such quantum encryption protocols to quantum data security, our…

Quantum Physics · Physics 2007-05-23 P. Oscar Boykin , Vwani Roychowdhury

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 present a new form of randomness, called Deep Randomness, generated in such a way that probability distribution of the output signal is made unknowledgeable for an observer. By limiting, thanks to Deep Randomness, the capacity of the…

Information Theory · Computer Science 2017-05-24 Thibault de Valroger

We introduce a new type of cryptographic primitive that we call hiding fingerprinting. A (quantum) fingerprinting scheme translates a binary string of length $n$ to $d$ (qu)bits, typically $d\ll n$, such that given any string $y$ and a…

Quantum Physics · Physics 2022-03-30 Dmytro Gavinsky , Tsuyoshi Ito

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

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

Most encrypted data formats leak metadata via their plaintext headers, such as format version, encryption schemes used, number of recipients who can decrypt the data, and even the recipients' identities. This leakage can pose security and…

Cryptography and Security · Computer Science 2019-07-26 Kirill Nikitin , Ludovic Barman , Wouter Lueks , Matthew Underwood , Jean-Pierre Hubaux , Bryan Ford

A classical random variable can be faithfully compressed into a sequence of bits with its expected length lies within one bit of Shannon entropy. We generalize this variable-length and faithful scenario to the general quantum source…

Quantum Physics · Physics 2009-11-07 Masato Koashi , Nobuyuki Imoto

The secrecy capacity of a network, for a given collection of permissible wiretap sets, is the maximum rate of communication such that observing links in any permissible wiretap set reveals no information about the message. This paper…

Information Theory · Computer Science 2016-11-17 Tao Cui , Tracey Ho , Joerg Kliewer

Quantum physics allows for unconditionally secure communication through insecure communication channels. The achievable rates of quantum-secured communication are fundamentally limited by the laws of quantum physics and in particular by the…

Quantum Physics · Physics 2015-12-16 Cosmo Lupo , Seth Lloyd

In this paper we consider the variable-length lossless source coding for discrete memoryless sources. We proposes a new encryption framework for securely transmitting codewords over a noiseless channel. The proposed source encryption…

Information Theory · Computer Science 2026-05-26 Yasutada Oohama , Bagus Santoso

A classical one-time pad allows two parties to send private messages over a public classical channel -- an eavesdropper who intercepts the communication learns nothing about the message. A quantum one-time pad is a shared quantum state…

Quantum Physics · Physics 2012-01-31 Fernando G. S. L. Brandão , Jonathan Oppenheim

This is a survey on the One Time Pad (OTP) and its derivatives, from its origins to modern times. OTP, if used correctly, is (the only) cryptographic code that no computing power, present or future, can break. Naturally, the discussion…

Cryptography and Security · Computer Science 2021-08-17 Umberto Cerruti