Geodesic
A review about public cryptography protocols based on RSA or elliptic curves
Rendiconto della Accademia delle scienze fisiche e matematiche, Série 4, Tome 86 (2019) no. 1, pp. 123-146

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We provide the basic definitions regarding computational complexity theory and review some basic cryptography protocols based on RSA or elliptic curves. These protocols summarize the history of the last fifty years in cryptography and are actually ubiquitous in applications, as for example SSL (secure socket layers), smartcards, creation of a bitcoin wallet etc. Since it is known they are in the polynomial class for the Shor’s algorithm, the possible development of quantum computers, needed to run such algorithm, will represent a dramatic shift in cryptography research and in applications. 
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     author = {Corbo Esposito, Antonio and Tirelli, Cristian},
     title = {A review about public cryptography protocols based on {RSA} or elliptic curves},
     journal = {Rendiconto della Accademia delle scienze fisiche e matematiche},
     pages = {123--146},
     publisher = {mathdoc},
     volume = {Ser. 4, 86},
     number = {1},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RASFM_2019_4_86_1_a2/}
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Corbo Esposito, Antonio; Tirelli, Cristian. A review about public cryptography protocols based on RSA or elliptic curves. Rendiconto della Accademia delle scienze fisiche e matematiche, Série 4, Tome 86 (2019) no. 1, pp. 123-146. http://geodesic.mathdoc.fr/item/RASFM_2019_4_86_1_a2/