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Streams are infinite sequences over a given data type. A stream specification is a set of equations intended to define a stream. We propose a transformation from such a stream specification to a term rewriting system (TRS) in such a way…

Logic in Computer Science · Computer Science 2015-07-01 Hans H Zantema

The first contribution of the paper is to put forward an abstract definition of the Grain family of stream ciphers which formalises the different components that are required to specify a particular member of the family. Our second…

Cryptography and Security · Computer Science 2025-11-18 Palash Sarkar

Quantum computing is a new model of computation, based on quantum physics. Quantum computers can be exponentially faster than conventional computers for problems such as factoring. Besides full-scale quantum computers, more restricted…

Formal Languages and Automata Theory · Computer Science 2018-07-05 Andris Ambainis , Abuzer Yakaryılmaz

Recent algorithmic advances in algebraic automata theory drew attention to semigroupoids (semicategories). These are mathematical descriptions of typed computational processes, but they have not been studied systematically in the context of…

Formal Languages and Automata Theory · Computer Science 2025-09-30 Attila Egri-Nagy , Chrystopher L. Nehaniv

We prove that the semigroup generated by a finite state Mealy automaton $\mathcal{A}=(Q,A,\tau)$ is infinite if and only if there exists some right-infinite word in the alphabet $A$ with infinite orbit.

Group Theory · Mathematics 2018-01-31 Dominik Francoeur

We survey models and algorithms for stream verification.

Data Structures and Algorithms · Computer Science 2015-07-16 Justin Thaler

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

We classify a quasiperiodic flow as either algebraic or transcendental. For an algebraic quasiperiodic flow on the n-torus, we prove that an absolute invariant of the smooth conjugacy class of this flow, known as the multiplier group, is a…

Dynamical Systems · Mathematics 2007-05-23 Lennard F. Bakker

We consider two classes of stream-based computations which admit taking linear combinations of execution runs: probabilistic sampling and generalized animation. The dataflow architecture is a natural platform for programming with streams.…

Programming Languages · Computer Science 2016-01-06 Michael Bukatin , Steve Matthews

We give information about some properties and spectrum of quasigroups with the following identity $x(y \cdot yx) = y$.

Group Theory · Mathematics 2015-09-03 A. V. Scerbacova , V. A. Shcherbacov

We present the stream processing library that achieves the highest performance of existing OCaml streaming libraries, attaining the speed and memory efficiency of hand-written state machines. It supports finite and infinite streams with the…

Programming Languages · Computer Science 2022-11-28 Oleg Kiselyov , Tomoaki Kobayashi , Aggelos Biboudis , Nick Palladinos

In this paper, an algorithm is aimed to make a cryptosystem for gray level images based on voice features, secret sharing scheme and electromagnetic rotor machine. Here, Shamir secret sharing (k n) threshold scheme is used to secure a key…

Cryptography and Security · Computer Science 2020-11-04 Ashish Kumar , N S Raghava

In this paper, we introduce the notion of strongly automatic semigroup, which implies the usual notion of auto- maticity. We focus on semigroups of \beta-adics developpements, for which we obtain a criterion of strong automaticity.

Combinatorics · Mathematics 2015-03-19 Paul Mercat

We explore a natural class of semigroups that have word problem decidable by finite state automata. Among the main results are invariance of this property under change of generators, invariance under basic algebraic constructions and…

Formal Languages and Automata Theory · Computer Science 2019-10-17 Max Neunhöffer , Markus Pfeiffer , Nik Ruskuc

This paper considers the equivalence problem for quasi-cyclic codes over finite fields. The results obtained are used to construct isodual quasi-cyclic codes.

Information Theory · Computer Science 2016-07-27 Kenza Guenda , T. Aaron Gulliver

Automatic groups admitting prefix closed automatic structures with uniqueness are characterized as the quotients of free groups by normal subgroups possessing sets of free generators satisfying certain language-theoretic conditions.

Group Theory · Mathematics 2007-05-23 Robert H. Gilman

Quantum cryptography has been extensively studied in the last twenty years, but information-flow security of quantum computing and communication systems has been almost untouched in the previous research. Duo to the essential difference…

Cryptography and Security · Computer Science 2013-01-30 Mingsheng Ying , Yuang Feng , Nengkun Yu

Semi-quantum cryptography involves at least one user who is semi-quantum or "classical" in nature. Such a user can only interact with the quantum channel in a very restricted way. Many semi-quantum key distribution protocols have been…

Quantum Physics · Physics 2022-11-01 Julia Guskind , Walter O. Krawec

This paper is the part-II of the previous paper and introduces the world of Yuen's concept. In the theory of cryptology, the Shannon impossibility theorem states that the upper bound of the security of a plaintext against a ciphertext-only…

Quantum Physics · Physics 2025-04-25 Osamu Hirota

We propose a new approach in cryptanalysis based on an evolution of the concept of \textit{Combinatorial Equivalence}. The aim is to rewrite a cryptosystem under a combinatorially equivalent form in order to make appear new properties that…

Cryptography and Security · Computer Science 2026-03-04 Jaagup Sepp , Eric Filiol