## Micheli, Giacomo

Compute Distance To:
 Author ID: micheli.giacomo Published as: Micheli, Giacomo; Micheli, G.
 Documents Indexed: 30 Publications since 2014 Co-Authors: 22 Co-Authors with 25 Joint Publications 295 Co-Co-Authors
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### Co-Authors

 4 single-authored 8 Ferraguti, Andrea 5 Schnyder, Reto 4 Weger, Violetta 2 Amadio Guidi, Federico 1 Bartoli, Daniele 1 Dotti, Edoardo 1 Dukes, Austin 1 Goldfeld, Dorian Morris 1 Hart, Daniel 1 Heath-Brown, Roger 1 Khathuria, Karan 1 Kim, Dohoon 1 Lindqvist, Sofia 1 Neri, Alessandro 1 Pascual-Perez, Guillermo 1 Petit, Christophe 1 Quek, Yuxuan 1 Schiavina, Michele 1 Schipani, Davide 1 Schraven, Severin 1 Vettori, Paolo 1 Zini, Giovanni 1 Zullo, Ferdinando
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### Serials

 3 Designs, Codes and Cryptography 2 IEEE Transactions on Information Theory 2 Journal of Number Theory 2 Applicable Algebra in Engineering, Communication and Computing 2 Advances in Mathematics of Communications 1 Bulletin of the Australian Mathematical Society 1 Mathematics of Computation 1 Acta Arithmetica 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series A 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 SIAM Journal on Discrete Mathematics 1 Linear Algebra and its Applications 1 Finite Fields and their Applications 1 The Quarterly Journal of Mathematics 1 International Journal of Number Theory 1 SIAM Journal on Applied Algebra and Geometry
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### Fields

 26 Number theory (11-XX) 9 Information and communication theory, circuits (94-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Geometry (51-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX)

### Citations contained in zbMATH Open

23 Publications have been cited 100 times in 61 Documents Cited by Year
Full classification of permutation rational functions and complete rational functions of degree three over finite fields. Zbl 1477.11196
Ferraguti, Andrea; Micheli, Giacomo
2020
On the Mertens-Cesàro theorem for number fields. Zbl 1337.11071
Ferraguti, Andrea; Micheli, Giacomo
2016
Irreducible polynomials over finite fields produced by composition of quadratics. Zbl 07083114
Heath-Brown, David Rodney; Micheli, Giacomo
2019
Constructions of locally recoverable codes which are optimal. Zbl 1433.94129
Micheli, Giacomo
2020
Exceptional scatteredness in prime degree. Zbl 1466.11092
Ferraguti, Andrea; Micheli, Giacomo
2021
On sets of irreducible polynomials closed by composition. Zbl 1409.11123
Ferraguti, Andrea; Micheli, Giacomo; Schnyder, Reto
2016
Cryptanalysis of a noncommutative key exchange protocol. Zbl 1361.94045
Micheli, Giacomo
2015
Irreducible compositions of degree two polynomials over finite fields have regular structure. Zbl 1442.11163
Ferraguti, Andrea; Micheli, Giacomo; Schnyder, Reto
2018
On the selection of polynomials for the DLP quasi-polynomial time algorithm for finite fields of small characteristic. Zbl 1439.11297
Micheli, Giacomo
2019
On the density of coprime $$m$$-tuples over holomorphy rings. Zbl 1348.11088
Micheli, Giacomo; Schnyder, Reto
2016
A practical cryptanalysis of $${\mathrm {walnutdsa}^{\mathrm {TM}}}$$. Zbl 1385.94043
Hart, Daniel; Kim, DoHoon; Micheli, Giacomo; Pascual-Perez, Guillermo; Petit, Christophe; Quek, Yuxuan
2018
$$r$$-fat linearized polynomials over finite fields. Zbl 07501778
Bartoli, Daniele; Micheli, Giacomo; Zini, Giovanni; Zullo, Ferdinando
2022
A general construction for monoid-based knapsack protocols. Zbl 1300.94085
Micheli, Giacomo; Schiavina, Michele
2014
On the existence of infinite, non-trivial $$F$$-sets. Zbl 1377.11008
Ferraguti, Andrea; Micheli, Giacomo
2016
Full orbit sequences in affine spaces via fractional jumps and pseudorandom number generation. Zbl 1460.37085
Guidi, Federico Amadio; Lindqvist, Sofia; Micheli, Giacomo
2019
The density of shifted and affine Eisenstein polynomials. Zbl 1407.11134
Micheli, Giacomo; Schnyder, Reto
2016
The density of unimodular matrices over integrally closed subrings of function fields. Zbl 1376.11079
Micheli, G.; Schnyder, R.
2016
Eisenstein polynomials over function fields. Zbl 1411.11122
Dotti, Edoardo; Micheli, Giacomo
2016
New lower bounds for permutation codes using linear block codes. Zbl 1446.94199
Micheli, Giacomo; Neri, Alessandro
2020
Linear spanning sets for matrix spaces. Zbl 1321.15034
Micheli, G.; Rosenthal, J.; Vettori, P.
2015
Cryptanalysis of the CLR-cryptosystem. Zbl 1439.11298
Micheli, Giacomo; Weger, Violetta
2019
Fractional jumps: complete characterisation and an explicit infinite family. Zbl 1445.11081
2018
On canonical subfield preserving polynomials. Zbl 1370.11133
Micheli, Giacomo; Schipani, Davide
2014
$$r$$-fat linearized polynomials over finite fields. Zbl 07501778
Bartoli, Daniele; Micheli, Giacomo; Zini, Giovanni; Zullo, Ferdinando
2022
Exceptional scatteredness in prime degree. Zbl 1466.11092
Ferraguti, Andrea; Micheli, Giacomo
2021
Full classification of permutation rational functions and complete rational functions of degree three over finite fields. Zbl 1477.11196
Ferraguti, Andrea; Micheli, Giacomo
2020
Constructions of locally recoverable codes which are optimal. Zbl 1433.94129
Micheli, Giacomo
2020
New lower bounds for permutation codes using linear block codes. Zbl 1446.94199
Micheli, Giacomo; Neri, Alessandro
2020
Irreducible polynomials over finite fields produced by composition of quadratics. Zbl 07083114
Heath-Brown, David Rodney; Micheli, Giacomo
2019
On the selection of polynomials for the DLP quasi-polynomial time algorithm for finite fields of small characteristic. Zbl 1439.11297
Micheli, Giacomo
2019
Full orbit sequences in affine spaces via fractional jumps and pseudorandom number generation. Zbl 1460.37085
Guidi, Federico Amadio; Lindqvist, Sofia; Micheli, Giacomo
2019
Cryptanalysis of the CLR-cryptosystem. Zbl 1439.11298
Micheli, Giacomo; Weger, Violetta
2019
Irreducible compositions of degree two polynomials over finite fields have regular structure. Zbl 1442.11163
Ferraguti, Andrea; Micheli, Giacomo; Schnyder, Reto
2018
A practical cryptanalysis of $${\mathrm {walnutdsa}^{\mathrm {TM}}}$$. Zbl 1385.94043
Hart, Daniel; Kim, DoHoon; Micheli, Giacomo; Pascual-Perez, Guillermo; Petit, Christophe; Quek, Yuxuan
2018
Fractional jumps: complete characterisation and an explicit infinite family. Zbl 1445.11081
2018
On the Mertens-Cesàro theorem for number fields. Zbl 1337.11071
Ferraguti, Andrea; Micheli, Giacomo
2016
On sets of irreducible polynomials closed by composition. Zbl 1409.11123
Ferraguti, Andrea; Micheli, Giacomo; Schnyder, Reto
2016
On the density of coprime $$m$$-tuples over holomorphy rings. Zbl 1348.11088
Micheli, Giacomo; Schnyder, Reto
2016
On the existence of infinite, non-trivial $$F$$-sets. Zbl 1377.11008
Ferraguti, Andrea; Micheli, Giacomo
2016
The density of shifted and affine Eisenstein polynomials. Zbl 1407.11134
Micheli, Giacomo; Schnyder, Reto
2016
The density of unimodular matrices over integrally closed subrings of function fields. Zbl 1376.11079
Micheli, G.; Schnyder, R.
2016
Eisenstein polynomials over function fields. Zbl 1411.11122
Dotti, Edoardo; Micheli, Giacomo
2016
Cryptanalysis of a noncommutative key exchange protocol. Zbl 1361.94045
Micheli, Giacomo
2015
Linear spanning sets for matrix spaces. Zbl 1321.15034
Micheli, G.; Rosenthal, J.; Vettori, P.
2015
A general construction for monoid-based knapsack protocols. Zbl 1300.94085
Micheli, Giacomo; Schiavina, Michele
2014
On canonical subfield preserving polynomials. Zbl 1370.11133
Micheli, Giacomo; Schipani, Davide
2014
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### Cited by 99 Authors

 15 Micheli, Giacomo 6 Bartoli, Daniele 6 Ferraguti, Andrea 4 Zullo, Ferdinando 3 Hou, Xiang-Dong 3 Mesnager, Sihem 3 Schnyder, Reto 3 Weger, Violetta 3 Zini, Giovanni 2 Bereg, Sergey N. 2 Chen, Ruikai 2 Kahrobaei, Delaram 2 Malouf, Brian 2 Mérai, László 2 Montanucci, Maria 2 Morales, Linda 2 Ostafe, Alina 2 Shparlinski, Igor E. 2 Stanley, Thomas R. 2 Sudborough, Ivan Hal 1 Adekoya, Adebayo Felix 1 Ahmadi, Omran 1 Albrecht, Martin R. 1 Amadio Guidi, Federico 1 Anastasiadis, M. 1 Arias-de-Reyna, Juan 1 Bai, Shi 1 Benedetto, Robert L. 1 Bhaintwal, Maheshanand 1 Blokhuis, Aart 1 Bostan, Alin 1 Calderini, Marco 1 Chatzis, N. 1 Csajbók, Bence 1 De Boeck, Maarten 1 Di Crescenzo, Giovanni 1 Ding, Zhiguo 1 Dotti, Edoardo 1 Draziotis, Konstantinos A. 1 Ducas, Léo 1 Dukes, Austin 1 Fernández Gallardo, Pablo 1 Fernández Pérez, José Luis 1 Flores, Ramón J. 1 Gao, Xinwei 1 Göloğlu, Faruk 1 Gomez-Perez, Domingo 1 Gupta, Indivar 1 Heath-Brown, Roger 1 Heyman, Randell 1 Hindes, Wade 1 Ingram, Patrick 1 Jones, Rafe 1 Kant Dubey, Manish 1 Khathuria, Karan 1 Khodjaeva, Matluba 1 Kleinjung, Thorsten 1 Koberda, Thomas 1 Kotov, Matvei 1 Lieb, Julia 1 Lindqvist, Sofia 1 Liu, Jian 1 López-Ramos, Juan Antonio 1 Ma, Shilin 1 Manes, Michelle 1 Martineau, Sébastien 1 Marynych, Alexander V. 1 McGown, Kevin J. 1 Menshov, Anton 1 Napolitano, Vito 1 Nimbe, Peter 1 Pandey, Atul 1 Pellikaan, Ruud 1 Polverino, Olga 1 Rajput, Charul 1 Raschel, Kilian 1 Reis, Lucas 1 Rhodes, Devon 1 Rosenthal, Joachim 1 Santonastaso, Paolo 1 Schipani, Davide 1 Shokri, Khosro Monsef 1 Shpilrain, Vladimir 1 Silverman, Joseph Hillel 1 Sittinger, Brian D. 1 Sze, Christopher 1 Szőnyi, Tamás 1 Tang, Deng 1 Timpanella, Marco 1 Tucker, Thomas John 1 Ushakov, Alexander S. 1 Van de Voorde, Geertrui 1 Vettori, Paolo 1 Wanner, Mathias 1 Wesolowski, Benjamin 1 Weyori, Benjamin Asubam 1 Young, Marley 1 Zhao, Changan 1 Zieve, Michael E.
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### Cited in 31 Serials

 10 Finite Fields and their Applications 9 Designs, Codes and Cryptography 3 Linear Algebra and its Applications 3 Applicable Algebra in Engineering, Communication and Computing 2 Journal of Algebra 2 Journal of Combinatorial Theory. Series A 2 Transactions of the American Mathematical Society 2 Revista Matemática Iberoamericana 2 International Journal of Number Theory 2 Advances in Mathematics of Communications 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Discrete Mathematics 1 International Journal of Theoretical Physics 1 Information Processing Letters 1 Mathematics of Computation 1 Acta Arithmetica 1 Journal of Number Theory 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Journal of Symbolic Computation 1 Journal of the American Mathematical Society 1 SIAM Journal on Discrete Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Electronic Communications in Probability 1 Integers 1 Journal of Algebra and its Applications 1 Mathematics in Computer Science 1 Asian-European Journal of Mathematics 1 Cryptography and Communications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
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### Cited in 15 Fields

 46 Number theory (11-XX) 24 Information and communication theory, circuits (94-XX) 9 Geometry (51-XX) 7 Algebraic geometry (14-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Combinatorics (05-XX) 4 Field theory and polynomials (12-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Group theory and generalizations (20-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX)