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This thesis concerns sequential-access data compression, i.e., by algorithms that read the input one or more times from beginning to end. In one chapter we consider adaptive prefix coding, for which we must read the input character by…

Information Theory · Computer Science 2009-02-03 Travis Gagie

Constrained coding plays a key role in optimizing performance and mitigating errors in applications such as storage and communication, where specific constraints on codewords are required. While non-parametric constraints have been…

Information Theory · Computer Science 2025-05-05 Daniella Bar-Lev , Michael Shlizerman

We examine the security of a cloud storage service that makes very strong claims about the ``trustless'' nature of its security. We find that, although stored files are end-to-end encrypted, the encryption method allows for effective…

Cryptography and Security · Computer Science 2025-04-01 Vanessa Teague , Arash Mirzaei

Sponge hashing is a widely used class of cryptographic hash algorithms which underlies the current international hash function standard SHA-3. In a nutshell, a sponge function takes as input a bit-stream of any length and processes it via a…

Quantum Physics · Physics 2025-01-17 Joseph Carolan , Alexander Poremba

Strings are widely used in programs, especially in web applications. Integer data type occurs naturally in string-manipulating programs, and is frequently used to refer to lengths of, or positions in, strings. Analysis and testing of…

Logic in Computer Science · Computer Science 2020-07-15 Taolue Chen , Matthew Hague , Jinlong He , Denghang Hu , Anthony Widjaja Lin , Philipp Rummer , Zhilin Wu

Given a set $S$ of $n$ keys, a perfect hash function for $S$ maps the keys in $S$ to the first $m \geq n$ integers without collisions. It may return an arbitrary result for any key not in $S$ and is called minimal if $m = n$. The most…

Data Structures and Algorithms · Computer Science 2026-02-06 Hans-Peter Lehmann , Thomas Mueller , Rasmus Pagh , Giulio Ermanno Pibiri , Peter Sanders , Sebastiano Vigna , Stefan Walzer

A homomorphic, or incremental, multiset hash function, associates a hash value to arbitrary collections of objects (with possible repetitions) in such a way that the hash of the union of two collections is easy to compute from the hashes of…

Cryptography and Security · Computer Science 2016-01-26 Jeremy Maitin-Shepard , Mehdi Tibouchi , Diego Aranha

Side-channel attacks, which are capable of breaking secrecy via side-channel information, pose a growing threat to the implementation of cryptographic algorithms. Masking is an effective countermeasure against side-channel attacks by…

Cryptography and Security · Computer Science 2020-06-17 Pengfei Gao , Hongyi Xie , Fu Song , Taolue Chen

We present optimal binary pebbling algorithms for in-place reversal (backward traversal) of one-way hash chains. For a hash chain of length $2^k$, the number of hashes performed in each output round does not exceed $\lceil k/2 \rceil$,…

Cryptography and Security · Computer Science 2018-02-13 Berry Schoenmakers

In quantum cryptography, the level of security attainable by a protocol which implements a particular task $N$ times bears no simple relation to the level of security attainable by a protocol implementing the task once. Useful partial…

Quantum Physics · Physics 2007-05-23 Adrian Kent

Memory-hard functions (MHF) are functions whose evaluation cost is dominated by memory cost. MHFs are egalitarian, in the sense that evaluating them on dedicated hardware (like FPGAs or ASICs) is not much cheaper than on off-the-shelf…

Cryptography and Security · Computer Science 2017-07-11 Joel Alwen , Jeremiah Blocki , Krzysztof Pietrzak

Quantum hashing is a widely used technique in quantum computation that allows us to design space-efficient algorithms and protocols. Recently, Vasiliev has shown that the phase form of shallow quantum hashing can be implemented by a circuit…

Quantum Physics · Physics 2025-11-25 Ilnar Zinnatullin , Alexander Vasiliev

Securing multimedia data has become of utmost importance especially in the applications related to military purposes. With the rise in development in computer and internet technology, multimedia data has become the most convenient method…

Cryptography and Security · Computer Science 2013-03-17 Ajay Kulkarni , Saurabh Kulkarni , Ketki Haridas , Aniket More

Hash chains provide a secure and light way of security to data authentication including two aspects: Data Integrity and Data Origin Authentication. The real challenge of using the hash chains is how it could recover the synchronization…

Cryptography and Security · Computer Science 2015-02-05 Emad Abd-Elrahman , Mohamed Boutabia , Hossam Afifi

We provide bounds on the size of operators obtained by algorithms for executing D-finite closure properties. For operators of small order, we give bounds on the degree and on the height (bit-size). For higher order operators, we give degree…

Symbolic Computation · Computer Science 2014-08-26 Manuel Kauers

In this note, we provide the first 22-step collisions for SHA-256 and SHA-512. Detailed technique of generating these collisions will be provided in the next revision of this note.

Cryptography and Security · Computer Science 2008-03-11 Somitra Kumar Sanadhya , Palash Sarkar

A new 4-pass Key-Agreement Protocol is presented. The security of the protocol mainly relies on the existence of a (polynomial-computable) One-Way-Function and the supposed computational hardness of solving a specific system of equations.

Cryptography and Security · Computer Science 2009-04-08 Bjoern Grohmann

Instruction sequence is a key concept in practice, but it has as yet not come prominently into the picture in theoretical circles. This paper concerns instruction sequences, the behaviours produced by them under execution, the interaction…

Logic in Computer Science · Computer Science 2012-05-07 J. A. Bergstra , C. A. Middelburg

The BIX protocol is a blockchain-based protocol that allows distribution of certificates linking a subject with his public key, hence providing a service similar to that of a PKI but without the need of a CA. In this paper we analyze the…

Cryptography and Security · Computer Science 2016-07-29 Riccardo Longo , Federico Pintore , Giancarlo Rinaldo , Massimiliano Sala

This paper concerns the question to what extent it can be efficiently determined whether an arbitrary program correctly solves a given problem. This question is investigated with programs of a very simple form, namely instruction sequences,…

Logic in Computer Science · Computer Science 2019-11-22 J. A. Bergstra , C. A. Middelburg
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