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

06-05-2020 | Original Paper

### On Euclidean self-dual codes and isometry codes

In this paper, we provide new methods and algorithms to construct Euclidean self-dual codes over large finite fields. With the existence of a dual basis, we study dual preserving linear maps, and as an application, we use them to construct …

29-04-2020 | Original Paper

### Boomerang uniformity of normalized permutation polynomials of low degree

Differential uniformity of permutation polynomials has been studied intensively in recent years due to the differential cryptanalysis of S-boxes. The boomerang attack is a variant of differential cryptanalysis which combines two differentials for …

28-04-2020 | Original Paper

### On the RLWE/PLWE equivalence for cyclotomic number fields

We study the equivalence between the ring learning with errors and polynomial learning with errors problems for cyclotomic number fields, namely: we prove that both problems are equivalent via a polynomial noise increase as long as the number of …

27-04-2020 | Original Paper