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We introduce a new quantum key distribution protocol that uses d-level quantum systems to encode an alphabet with c letters. It has the property that the error rate introduced by an intercept-and-resend attack tends to one as the numbers c…

Quantum Physics · Physics 2009-10-15 Stephen Brierley

Ultrafast physical random bit generation at hundreds of Gb/s rates, with verified randomness, is a crucial ingredient in secure communication and have recently emerged using optics based physical systems. Here we examine the inverse problem…

Signal Processing · Electrical Eng. & Systems 2019-11-05 Shira Sardi , Herut Uzan , Shiri Otmazgin , Yaara Aviad , Michael Rosenbluh , Ido Kanter

When the 4-state or the 6-state protocol of quantum cryptography is carried out on a noisy (i.e. realistic) quantum channel, then the raw key has to be processed to reduce the information of an adversary Eve down to an arbitrarily low…

Quantum Physics · Physics 2009-01-23 N. Gisin , S. Wolf

We prove a conjecture that classifies exceptional numbers. This conjecture arises in two different ways, from cryptography and from coding theory. An odd integer $t\geq 3$ is said to be exceptional if $f(x)=x^t$ is APN (Almost Perfect…

Information Theory · Computer Science 2024-05-01 Fernando Hernando , Gary McGuire

When I was smaller, a five megabyte fixed disk cost $5,000, a 300 bps modem cost hundreds of dollars, and communication links were intercepted by attaching devices to the target subscriber's local loop. From then to now there have been…

Cryptography and Security · Computer Science 2012-12-21 Marc W. Abel

The lack of perfect randomness can cause significant problems in securing communication between two parties. McInnes and Pinkas proved that unconditionally secure encryption is impossible when the key is sampled from a weak random source.…

Quantum Physics · Physics 2012-02-20 J. Bouda , M. Pivoluska , M. Plesch

Many common document formats on the Internet are text-only such as email (MIME) and the Web (HTML, JavaScript, JSON and XML). To include images or executable code in these documents, we first encode them as text using base64. Standard…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-08 Wojciech Muła , Daniel Lemire

We study the problem of weakly private information retrieval (W-PIR), where a user wishes to retrieve a desired message from $N$ non-colluding servers in a way that the privacy leakage regarding the desired message's identity is less than…

Information Theory · Computer Science 2022-05-04 Chengyuan Qian , Ruida Zhou , Chao Tian , Tie Liu

This article is meant to provide an additional point of view, applying known knowledge, to supply keys that have a series of non-repeating digits, in a manner that is not usually thought of. Traditionally, prime numbers are used in…

Cryptography and Security · Computer Science 2010-07-06 Givon Zirkind

In this paper, security analysis of block ciphers with key length greater than block length is proposed. When key length is significantly greater than block length and the statistical distribution of cipher system is like a uniform…

Cryptography and Security · Computer Science 2013-05-21 Maghsood Parviz , Seyed Hassan Mousavi , Saeed Mirahmadi

The Element Distinctness problem is to decide whether each character of an input string is unique. The quantum query complexity of Element Distinctness is known to be $\Theta(N^{2/3})$; the polynomial method gives a tight lower bound for…

Quantum Physics · Physics 2014-08-04 Ansis Rosmanis

A decoding algorithm for polar codes with binary 16$\times$16 kernels with polarization rate 0.51828 and scaling exponents 3.346 and 3.450 is presented. The proposed approach exploits the relationship of the considered kernels and the…

Information Theory · Computer Science 2020-01-14 Grigorii Trofimiuk , Peter Trifonov

Secret-key agreement based on biometric or physical identifiers is a promising security protocol for authenticating users or devices with small chips due to its lightweight security. In previous studies, the fundamental limits of such a…

Information Theory · Computer Science 2025-03-13 Vamoua Yachongka , Hideki Yagi , Hideki Ochiai

This paper presents a recursive hiding scheme for 2 out of 3 secret sharing. In recursive hiding of secrets, the user encodes additional information about smaller secrets in the shares of a larger secret without an expansion in the size of…

Cryptography and Security · Computer Science 2009-02-17 Abhishek Parakh , Subhash Kak

In this paper we use ternary representation of numbers for compressing text data. We use a binary map for ternary digits and introduce a way to use the binary 11-pair, which has never been use for coding data before, and we futher use…

Cryptography and Security · Computer Science 2012-06-27 Udita N. Katugampola

Joint encryption and compression is an ideal solution for protecting security and privacy of image data in a real scenario, e.g. storing them on an existing cloud-based service like Facebook. Recently, some block-wise…

Cryptography and Security · Computer Science 2023-05-09 Chengqing Li , Sheng Liu

The article explores the creation of a cryptosystem using a halidon group ring of a dihedral group. Due to the non-abelian nature of the group, constructing the cryptosystem is more challenging compared to an abelian group. The logic used…

Cryptography and Security · Computer Science 2024-10-29 A. Telveenus

We construct new $s$-extremal singly even self-dual codes of minimum weights $8,10,12$ and $14$. We also give tables for the currently known results on the existence of $s$-extremal singly even self-dual codes of minimum weights $8,10,12$…

Combinatorics · Mathematics 2020-08-31 Masaaki Harada

We construct a record-breaking binary code of length 17, minimal distance 6, constant weight 6, and containing 113 codewords.

Information Theory · Computer Science 2007-12-18 Yeow Meng Chee

Harnessing a block-sparse prior to recover signals through underdetermined linear measurements has been extensively shown to allow exact recovery in conditions where classical compressed sensing would provably fail. We exploit this result…

Information Theory · Computer Science 2021-10-12 Maxime Ferreira Da Costa , Urbashi Mitra