Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Marco Timpanella"'
Autor:
Marco Timpanella, Giovanni Zini
Publikováno v:
Designs, Codes and Cryptography.
In this paper we consider a family $\mathcal{F}$ of $16$-dimensional $\mathbb{F}_q$-linear rank metric codes in $\mathbb{F}_q^{8\times8}$, arising from the polynomial $x^{q^s}+\delta x^{q^{4+s}}\in\mathbb{F}_{q^8}[x]$. Examples of MRD codes in $\math
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8447573816e8b8b2f52d5e42dad0e68d
https://doi.org/10.1007/s10623-022-01179-0
https://doi.org/10.1007/s10623-022-01179-0
Autor:
Daniele Bartoli, Marco Timpanella
Perfect nonlinear (PN) functions over a finite field, whose study is also motivated by practical applications to Cryptography, have been the subject of several recent papers where the main problems, such as effective constructions and non-existence r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c806de7b71bb254b7cee05f15e2e32e
https://hdl.handle.net/11391/1547915
https://hdl.handle.net/11391/1547915
Publikováno v:
Bartoli, D, Bonini, M & Timpanella, M 2022 ' Minimal codewords in Norm-Trace codes ' arXiv . https://doi.org/10.48550/arXiv.2211.02329
Aalborg University
Aalborg University
In this paper, we consider the affine variety codes obtained evaluating the polynomials $by=a_kx^k+\dots+a_1x+a_0$, $b,a_i\in\mathbb{F}_{q^r}$, at the affine $\F_{q^r}$-rational points of the Norm-Trace curve. In particular, we investigate the weight
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::7a36711981c01eb6b4c531ea01126a93
https://vbn.aau.dk/da/publications/4fc3a935-0711-4c51-81bb-31d32e1c0025
https://vbn.aau.dk/da/publications/4fc3a935-0711-4c51-81bb-31d32e1c0025
Publikováno v:
Applicable Algebra in Engineering, Communication and Computing. 34:201-210
In this note we investigate minimal linear codes arising from Hermitian varieties and quadrics. We study their parameters and formulate some open problems about their weight distribution.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e888c47534e0ca06405b6b9c2f640b1
https://doi.org/10.1007/s00200-021-00500-z
https://doi.org/10.1007/s00200-021-00500-z
Publikováno v:
Journal of Algebra. 566:374-404
Let C be an irreducible plane curve of PG ( 2 , K ) where K is an algebraically closed field of characteristic p ≥ 0 . A point Q ∈ C is an inner Galois point for C if the projection π Q from Q is Galois. Assume that C has two different inner Gal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9924a1ae2a9d8eb53c7c7e6e765ddc99
https://doi.org/10.1016/j.jalgebra.2020.08.024
https://doi.org/10.1016/j.jalgebra.2020.08.024
Publikováno v:
IEEE Transactions on Information Theory. 66:3547-3554
Hermitian functional and differential codes are AG-codes defined on a Hermitian curve. To ensure good performance, the divisors defining such AG-codes have to be carefully chosen, exploiting the rich combinatorial and algebraic properties of the Herm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36c96e7c639409467a0f2de8833aaa34
https://doi.org/10.1109/tit.2019.2950207
https://doi.org/10.1109/tit.2019.2950207
Publikováno v:
Finite Fields and Their Applications. 84:102109
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3b4c8f7b7b55538523efcb19fd9b9ee
https://doi.org/10.1016/j.ffa.2022.102109
https://doi.org/10.1016/j.ffa.2022.102109
Autor:
Marco Timpanella, Stefano Lia
Publikováno v:
Applicable Algebra in Engineering, Communication and Computing.
In Beelen and Montanucci (Finite Fields Appl 52:10–29, 2018) and Giulietti and Korchmáros (Math Ann 343:229–245, 2009), Weierstrass semigroups at points of the Giulietti–Korchmáros curve $${\mathcal {X}}$$ X were investigated and the sets of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b46275824169ddce38d0c94a7a5cb625
https://doi.org/10.1007/s00200-021-00519-2
https://doi.org/10.1007/s00200-021-00519-2
Autor:
Daniele Bartoli, Marco Timpanella
Publikováno v:
Journal of Algebraic Combinatorics. 52:187-213
Planar functions have deep applications in different areas of mathematics. We give a generalization of planar functions, and we obtain construction and classification results concerning these new objects. More in detail, for a prime power \(q=p^r\) a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eda5c4a2018811db48b30362f9eeb64a
https://doi.org/10.1007/s10801-019-00899-2
https://doi.org/10.1007/s10801-019-00899-2
Autor:
Daniele Bartoli, Marco Timpanella
The single trivariate representation proposed in [C. Beierle, C. Carlet, G. Leander, L. Perrin, A Further Study of Quadratic APN Permutations in Dimension Nine, arXiv:2104.08008] of the two sporadic quadratic APN permutations in dimension 9 found by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0fa3cadb8c3a31ff5990ae8f79509a73