Search Results - "Bartoli, Daniele"

On the Classification of Low-Degree Ovoids of Q(4,q) by Bartoli, Daniele, Durante, Nicola

“…Ovoids of the non-degenerate quadric Q (4, q ) of PG(4, q ) have been studied since the end of the’ 80s. They are rare objects and, beside the classical…”
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Ovoids of Q(6, q) of low degree by Bartoli, Daniele, Durante, Nicola, Grimaldi, Giovanni Giuseppe

“…Ovoids of the parabolic quadric Q (6,  q ) of PG ( 6 , q ) have been largely studied in the last 40 years. They can only occur if q is an odd prime power and…”
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On a generalization of planar functions by Bartoli, Daniele, Timpanella, Marco

“…Planar functions have deep applications in different areas of mathematics. We give a generalization of planar functions, and we obtain construction and…”
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Algebraic Constructions of Complete m-Arcs by Bartoli, Daniele, Micheli, Giacomo

“…Let m be a positive integer, q be a prime power, and PG(2, q ) be the projective plane over the finite field F q . Finding complete m -arcs in PG(2, q ) of…”
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On the classification of low-degree ovoids of Q+(5,q) by Bartoli, Daniele, Durante, Nicola, Grimaldi, Giovanni Giuseppe

“…Ovoids of the Klein quadric Q + ( 5 , q ) of PG ( 5 , q ) have been studied in the last 40 years, also because of their connection with spreads of PG ( 3 , q )…”
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New MRD codes from linear cutting blocking sets by Bartoli, Daniele, Marino, Giuseppe, Neri, Alessandro

“…Minimal rank-metric codes or, equivalently, linear cutting blocking sets are characterized in terms of the second generalized rank weight, via their connection…”
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Investigating rational perfect nonlinear functions by Bartoli, Daniele, Timpanella, Marco

“…Perfect nonlinear (PN) functions over a finite field, whose study is also motivated by practical applications to Cryptography, have been the subject of several…”
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On certain self-orthogonal AG codes with applications to Quantum error-correcting codes by Bartoli, Daniele, Montanucci, Maria, Zini, Giovanni

“…In this paper a construction of quantum codes from self-orthogonal algebraic geometry codes is provided. Our method is based on the CSS construction as well as…”
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On a conjecture on APN permutations by Bartoli, Daniele, Timpanella, Marco

“…The single trivariate representation proposed in [C. Beierle, C. Carlet, G. Leander, L. Perrin, A Further Study of Quadratic APN Permutations in Dimension…”
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On the exceptionality of rational APN functions by Bartoli, Daniele, Fatabbi, Giuliana, Ghiandoni, Francesco

“…We investigate APN functions which can be represented as rational functions and we provide non-existence results exploiting the connection between these…”
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Minimal codewords in Norm-Trace codes by Bartoli, Daniele, Bonini, Matteo, Timpanella, Marco

“…In this paper, we consider the affine variety codes obtained evaluating the polynomials b y = a k x k + … + a 1 x + a 0 , b , a i ∈ F q r , at the affine F q r…”
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Low c-differential uniformity for functions modified on subfields by Bartoli, Daniele, Calderini, Marco, Riera, Constanza, Stănică, Pantelimon

“…In this paper, we construct some piecewise defined functions, and study their c -differential uniformity. As a by-product, we improve upon several prior…”
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An inductive construction of minimal codes by Bartoli, Daniele, Bonini, Matteo, Güneş, Burçin

“…We provide new families of minimal codes in any characteristic, useful for the construction of secret sharing schemes. Also, an inductive construction of…”
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On the weight distribution of some minimal codes by Bartoli, Daniele, Bonini, Matteo, Timpanella, Marco

“…Minimal codes are a class of linear codes which gained interest in the last years, thanks to their connections to secret sharing schemes. In this paper we…”
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Explicit maximal and minimal curves of Artin–Schreier type from quadratic forms by Bartoli, Daniele, Quoos, Luciane, Saygı, Zülfükar, Yılmaz, Emrah Sercan

“…In this note we present explicit examples of maximal and minimal curves over finite fields in odd characteristic. The curves are of Artin–Schreier type and the…”
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Minimal Linear Codes in Odd Characteristic by Bartoli, Daniele, Bonini, Matteo

“…In this paper, we generalize constructions in two recent works of Ding, Heng, and Zhou to any field <inline-formula> <tex-math notation="LaTeX">\mathbb…”
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On construction and (non)existence of c-(almost) perfect nonlinear functions by Bartoli, Daniele, Calderini, Marco

“…Functions with low differential uniformity have relevant applications in cryptography. Recently, functions with low c-differential uniformity attracted lots of…”
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On the classification of exceptional scattered polynomials by Bartoli, Daniele, Montanucci, Maria

“…Let f(X)∈Fqr[X] be a q-polynomial. If the Fq-subspace U={(xqt,f(x))|x∈Fqn} defines a maximum scattered linear set, then we call f(X) a scattered polynomial of…”
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More on the DLW conjectures by Bartoli, Daniele, Bonini, Matteo

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Linear maximum rank distance codes of exceptional type by Bartoli, Daniele, Zini, Giovanni, Zullo, Ferdinando

“…Scattered polynomials of a given index over finite fields are intriguing rare objects with many connections within mathematics. Of particular interest are the…”
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