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Applicable Algebra in Engineering, Communication and Computing

Applicable Algebra in Engineering, Communication and Computing OnlineFirst articles

26-10-2021 | Original Paper

Metric dimension of complement of annihilator graphs associated with commutative rings

For a connected graph G(V, E) a set of vertices $$S\subseteq V(G)$$ S ⊆ V ( G ) resolves the graph G, and S is a resolving set of G, if every vertex is uniquely determined by its vector of distances to the vertices of S. A resolving set S of …

26-10-2021 | Original Paper

On restricted partitions of numbers

This paper finds new quasi-polynomials over $${{\mathbb {Z}}}$$ Z for the number $$p_k(n)$$ p k ( n ) of partitions of n with parts at most k. Methods throughout are elementary. We derive a small number of polynomials (e.g., one for $$k=3$$ k = 3 …

23-10-2021 | Original Paper

Interleavings and matchings as representations

In order to better understand and to compare interleavings between persistence modules, we elaborate on the algebraic structure of interleavings in general settings. In particular, we provide a representation-theoretic framework for interleavings …

20-10-2021 | Original Paper

Quantum MDS and synchronizable codes from cyclic codes of length over

For any odd prime $$p\not =5$$ p ≠ 5 , the structures of cyclic codes of length $$5p^s$$ 5 p s over $$\mathbb F_{p^m}$$ F p m are applied to construct quantum error-correcting codes (briefly, QEC codes). Some new QEC codes are provided in the …

19-10-2021 | Original Paper Open Access

An identification system based on the explicit isomorphism problem

We propose a new identification system based on algorithmic problems related to computing isomorphisms between central simple algebras. We design a statistical zero knowledge protocol which relies on the hardness of computing isomorphisms between …

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About this journal

Applicable Algebra in Engineering, Communication and Computing publishes mathematically rigorous, original research papers reporting on algebraic methods and techniques relevant to all domains concerned with computers, intelligent systems and communications. Coverage includes vision, robotics, system design, fault tolerance and dependability of systems, VLSI technology, signal processing, signal theory, coding, error control techniques, cryptography, protocol specification, networks, software engineering, arithmetics, algorithms, complexity, computer algebra, programming languages, logic and functional programming, algebraic specification, term rewriting systems, theorem proving, graphics, modeling, knowledge engineering, expert systems, and artificial intelligence methodology.

The journal offers papers dealing with problems in commutative or non-commutative algebra, group theory, field theory, or real algebraic geometry, among others.

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