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## Applicable Algebra in Engineering, Communication and Computing OnlineFirst articles

25.06.2021 | Original Paper

### Special LCD codes from products of graphs

We examine the binary codes from the adjacency matrices of various products of graphs, and show that if the binary codes of a set of graphs have the property that their dual codes are the codes of the associated reflexive graphs, and are thus LCD …

16.06.2021 | Original Paper

### Integration in finite terms: dilogarithmic integrals

We extend the theorem of Liouville on integration in finite terms to include dilogarithmic integrals. The results provide a necessary and sufficient condition for an element of the base field to have an antiderivative in a field extension …

29.05.2021 | Original Paper Open Access

### On the group of unit-valued polynomial functions

Let R be a finite commutative ring. The set $${{\mathcal{F}}}(R)$$ F ( R ) of polynomial functions on R is a finite commutative ring with pointwise operations. Its group of units $${{\mathcal{F}}}(R)^\times$$ F ( R ) × is just the set of all …

27.05.2021 | Original Paper

### An explicit expression for all distinct self-dual cyclic codes of length over Galois ring

Let p be any odd prime number and let m, k be arbitrary positive integers. The construction for self-dual cyclic codes of length $$p^k$$ p k over the Galois ring $$\mathrm{GR}(p^2,m)$$ GR ( p 2 , m ) is the key to construct self-dual cyclic codes …

24.05.2021 | Original Paper

### Rewriting system of certain semigroups with three generators

In this paper, we study some properties of semigroups with presentation $$\left\langle a,b, c\ ;\ a^p=b^s, b^r=c^v, c^u=a^q\right\rangle$$ a , b , c ; a p = b s , b r = c v , c u = a q . We will determine a complete rewriting system for the …

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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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