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## 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 …