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We investigate unification problems related to the Cipher Block Chaining (CBC) mode of encryption. We first model chaining in terms of a simple, convergent, rewrite system over a signature with two disjoint sorts: list and element. By…

Logic in Computer Science · Computer Science 2015-07-01 Siva Anantharaman , Christopher Bouchard , Paliath Narendran , Michaël Rusinowitch

The coded trace reconstruction problem asks to construct a code $C\subset \{0,1\}^n$ such that any $x\in C$ is recoverable from independent outputs ("traces") of $x$ from a binary deletion channel (BDC). We present binary codes of rate…

Information Theory · Computer Science 2020-09-15 Joshua Brakensiek , Ray Li , Bruce Spang

The blocks in the Bitcoin blockchain record the amount of work W that went into creating them through proofs of work. When honest parties control a majority of the work, consensus is achieved by picking the chain with the highest recorded…

Cryptography and Security · Computer Science 2025-08-05 Mirza Ahad Baig , Christoph U. Günther , Krzysztof Pietrzak

When attempting to understand the behavior of an executable, a binary analyst can make use of many different techniques. These include program slicing, dynamic instrumentation, binary-level rewriting, symbolic execution, and formal…

Vector Stream Cipher (VSC) is a stream cipher which consists of permutation polynomial over a ring of modulo $2^w$. The algorithm for generating key stream is very simple and the encryption is very fast. Some theoretical attacks for VSC…

Information Theory · Computer Science 2016-11-08 Atsushi Iwasaki , Ken Umeno

This paper introduces a compact and secure 16-bit substitution box (S-box) designed over the composite field $\F_{(((2^2)^2)^2)^2}$, optimized for both hardware efficiency and cryptographic robustness. The proposed S-box decomposes…

Cryptography and Security · Computer Science 2025-07-03 Bahram Rashidi , Behrooz Khadem

We present a new variable-length computation-friendly encoding scheme, named SFDC (Succinct Format with Direct aCcesibility), that supports direct and fast accessibility to any element of the compressed sequence and achieves compression…

Data Structures and Algorithms · Computer Science 2023-04-03 Domenico Cantone , Simone Faro

Given a text, rank and select queries return the number of occurrences of a character up to a position (rank) or the position of a character with a given rank (select). These queries have applications in, e.g., compression, computational…

Data Structures and Algorithms · Computer Science 2023-11-10 Matteo Ceregini , Florian Kurpicz , Rossano Venturini

Simon's problem is to find a hidden period (a bitstring) encoded into an unknown 2-to-1 function. It is one of the earliest problems for which an exponential quantum speedup was proven for ideal, noiseless quantum computers, albeit in the…

Quantum Physics · Physics 2025-06-12 P. Singkanipa , V. Kasatkin , Z. Zhou , G. Quiroz , D. A. Lidar

We cast encryption via classical block ciphers in terms of operator spreading in a dual space of Pauli strings, a formulation which allows us to characterize classical ciphers by using tools well known in the analysis of quantum many-body…

Cryptography and Security · Computer Science 2022-03-08 Claudio Chamon , Eduardo R. Mucciolo , Andrei E. Ruckenstein

We propose a framework for constructing efficient code-based encryption schemes from codes that do not hide any structure in their public matrix. The framework is in the spirit of the schemes first proposed by Alekhnovich in 2003 and based…

Cryptography and Security · Computer Science 2016-12-19 Carlos Aguilar , Olivier Blazy , Jean-Christophe Deneuville , Philippe Gaborit , Gilles Zémor

Using well-known mathematical problems for encryption is a widely used technique because they are computationally hard and provide security against potential attacks on the encryption method. The subset sum problem (SSP) can be defined as…

Cryptography and Security · Computer Science 2024-01-23 Yair Zadok , Nadav Voloch , Noa Voloch-Bloch , Maor Meir Hajaj

Single flux quantum (SFQ) circuits are an attractive beyond-CMOS technology because they promise two orders of magnitude lower power at clock frequencies exceeding 25 GHz.However, every SFQ gate is clocked creating very deep gate-level…

Hardware Architecture · Computer Science 2020-01-30 Souvik Kundu , Gourav datta , Peter A. Beerel , Massoud Pedram

Non-binary linear block codes (NB-LBCs) are an important class of error-correcting codes that are especially competent in correcting burst errors. They have broad applications in modern communications and storage systems. However, efficient…

Information Theory · Computer Science 2026-01-21 Jingyu Lin , Li Chen , Xiaoqian Ye

Given a block cipher of length L Cook's elastic cipher allows to encrypt messages of variable length from L to 2L. Given some conditions on the key schedule, Cook's elastic cipher is secure against any key recovery attack if the underlying…

Information Theory · Computer Science 2015-05-05 Emanuele Bellini , Guglielmo Morgari , Marco Coppola

We propose BQTRU, a non-commutative NTRU-like cryptosystem over quaternion algebras. This cryptosystem uses bivariate polynomials as the underling ring. The multiplication operation in our cryptosystem can be performed with high speed using…

Rings and Algebras · Mathematics 2017-09-08 Khadijeh Bagheri , Mohammad-Reza Sadeghi , Daniel Panario

With the proliferation of high-speed wireless networking, the necessity for efficient, robust and secure encryption modes is ever increasing. But, cryptography is primarily a computationally intensive process. This paper investigates the…

Cryptography and Security · Computer Science 2016-11-17 Razvi Doomun , Jayramsingh Doma , Sundeep Tengur

In this paper, we propose a scheme, called the "algebraic watchdog" for wireless network coding, in which nodes can detect malicious behaviors probabilistically, police their downstream neighbors locally using overheard messages, and, thus,…

Networking and Internet Architecture · Computer Science 2016-11-15 MinJi Kim , Muriel Medard , Joao Barros , Ralf Koetter

The advances of the Internet of Things (IoT) have had a fundamental impact and influence in sharping our rich living experiences. However, since IoT devices are usually resource-constrained, lightweight block ciphers have played a major…

Cryptography and Security · Computer Science 2020-10-13 Duc-Phong Le , Rongxing Lu , Ali A. Ghorbani

In this paper we propose a feedback scheme for transmitting secret messages between two legitimate parties, over an eavesdropped communication link. Relative to Wyner's traditional encoding scheme \cite{wyner1}, our feedback-based encoding…

Information Theory · Computer Science 2009-09-29 George Amariucai , Shuangqing Wei
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