Applicable Algebra in Engineering, Communication and Computing

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

Self-dual cyclic codes over of length 4n

For any odd positive integer n, we express cyclic codes over $${\mathbb {Z}}_4$$Z4 of length 4n in a new way. Based on the expression of each cyclic code $${\mathcal {C}}$$C, we provide an efficient encoder and determine the type of $${\mathcal …

24-04-2020 | Original Paper

Hamming distance of repeated-root constacyclic codes of length over

Let p be an odd prime, and $$\delta$$δ be an arbitrary unit of the finite chain ring $${\mathbb {F}}_{p^m}+u{\mathbb {F}}_{p^m} \,\, (u^2=0)$$Fpm+uFpm(u2=0). The Hamming distances of all $$\delta$$δ-constacyclic codes of length $$2p^s$$2ps over …

Additional information

Title

Applicable Algebra in Engineering, Communication and Computing

Publisher

Springer Berlin Heidelberg

Coverage

Volume 8/1997 - Volume 31/2020

Print ISSN

0938-1279

Electronic ISSN

1432-0622

DOI

https://doi.org/10.1007/200.1432-0622

Journal ID

200