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The combined Universal Probability M(D) of strings x in sets D is close to max M({x}) over x in D: their ~logs differ by at most D's information j=I(D:H) about the halting sequence H. Thus if all x have complexity K(x) >k, D carries >i bits…

Computational Complexity · Computer Science 2014-03-21 Samuel Epstein , Leonid A. Levin

Existing unsupervised hash learning is a kind of attribute-centered calculation. It may not accurately preserve the similarity between data. This leads to low down the performance of hash function learning. In this paper, a hash algorithm…

Machine Learning · Computer Science 2022-06-07 Shichao Zhang , Jiaye Li

We propose an adaptive threshold multi secret sharing scheme based solely on cryptographically secure hash functions. We show that the proposed scheme is also: perfect, ideal, verifiable, and proactive. Moreover the proposed scheme has a…

Cryptography and Security · Computer Science 2023-02-07 M. Andrecut

In their seminal work on authentication, Wegman and Carter propose that to authenticate multiple messages, it is sufficient to reuse the same hash function as long as each tag is encrypted with a one-time pad. They argue that because the…

Information Theory · Computer Science 2014-09-30 Christopher Portmann

When considering binary strings, it's natural to wonder how many distinct subsequences might exist in a given string. Given that there is an existing algorithm which provides a straightforward way to compute the number of distinct…

Combinatorics · Mathematics 2023-06-22 Yonah Biers-Ariel , Anant Godbole , Elizabeth Kelley

String matching is the problem of finding all the occurrences of a pattern in a text. We propose improved versions of the fast family of string matching algorithms based on hashing $q$-grams. The improvement consists of considering minimal…

Data Structures and Algorithms · Computer Science 2023-03-13 Thierry Lecroq

The information theoretic approach to security entails harnessing the correlated randomness available in nature to establish security. It uses tools from information theory and coding and yields provable security, even against an adversary…

Information Theory · Computer Science 2016-03-23 Himanshu Tyagi , Alexander Vardy

In this paper, a novel formulation of discrete chaotic iterations in the field of dynamical systems is given. Their topological properties are studied: it is mathematically proved that, under some conditions, these iterations have a chaotic…

Cryptography and Security · Computer Science 2017-02-09 Jacques M. Bahi , Christophe Guyeux

Binary Hashing is widely used for effective approximate nearest neighbors search. Even though various binary hashing methods have been proposed, very few methods are feasible for extremely high-dimensional features often used in visual…

Computer Vision and Pattern Recognition · Computer Science 2015-01-30 Kohta Ishikawa , Ikuro Sato , Mitsuru Ambai

We present here new mechanisms for hashing data via binary embeddings. Contrary to most of the techniques presented before, the embedding matrix of our mechanism is highly structured. That enables us to perform hashing more efficiently and…

Data Structures and Algorithms · Computer Science 2015-05-14 Krzysztof Choromanski

Two decades ago, a breakthrough in indexing string collections made it possible to represent them within their compressed space while at the same time offering indexed search functionalities. As this new technology permeated through…

Data Structures and Algorithms · Computer Science 2022-11-28 Gonzalo Navarro

Hashing has been widely used for efficient similarity search based on its query and storage efficiency. To obtain better precision, most studies focus on designing different objective functions with different constraints or penalty terms…

Data Structures and Algorithms · Computer Science 2018-10-02 Xingbo Liu , Xiushan Nie , Yilong Yin

In recent years, a lot of attention has been devoted to efficient nearest neighbor search by means of similarity-preserving hashing. One of the plights of existing hashing techniques is the intrinsic trade-off between performance and…

Computer Vision and Pattern Recognition · Computer Science 2014-02-18 Jonathan Masci , Alex M. Bronstein , Michael M. Bronstein , Pablo Sprechmann , Guillermo Sapiro

We explore the algebraic properties of a generalized version of the iterated-sums signature, inspired by previous work of F.~Kir\'aly and H.~Oberhauser. In particular, we show how to recover the character property of the associated linear…

Rings and Algebras · Mathematics 2023-07-17 Joscha Diehl , Kurusch Ebrahimi-Fard , Nikolas Tapia

In this paper, we present a general review of hash functions in a cryptographic sense. We give special emphasis on some particular topics such as cipher block chaining message authentication code (CBC MAC) and its variants. This paper also…

Cryptography and Security · Computer Science 2007-05-23 Turker Ozsari

Reusing passwords across multiple websites is a common practice that compromises security. Recently, Blum and Vempala have proposed password strategies to help people calculate, in their heads, passwords for different sites without…

Human-Computer Interaction · Computer Science 2018-05-28 Samira Samadi , Santosh Vempala , Adam Tauman Kalai

The classic way of computing a $k$-universal hash function is to use a random degree-$(k-1)$ polynomial over a prime field $\mathbb Z_p$. For a fast computation of the polynomial, the prime $p$ is often chosen as a Mersenne prime $p=2^b-1$.…

Data Structures and Algorithms · Computer Science 2021-05-07 Thomas Dybdahl Ahle , Jakob Tejs Bæk Knudsen , Mikkel Thorup

It is shown that from two strings that are partially random and independent (in the sense of Kolmogorov complexity) it is possible to effectively construct polynomially many strings that are random and pairwise independent. If the two…

Information Theory · Computer Science 2009-03-24 Marius Zimand

Randomized algorithms are often enjoyed for their simplicity, but the hash functions employed to yield the desired probabilistic guarantees are often too complicated to be practical. Here we survey recent results on how simple hashing…

Data Structures and Algorithms · Computer Science 2017-01-04 Mikkel Thorup

We present a new algorithm for iterating over all permutations of a sequence. The algorithm leverages elementary~$O(1)$ operations on recursive lists. As a result, no new nodes are allocated during the computation. Instead, all elements are…

Data Structures and Algorithms · Computer Science 2025-09-16 Thomas Baruchel