The proposed PhD project will be a continuation of research done by Jim Barthel in computational number theory and public key cryptography in the context of the PRIDE project. A possible research starting point for this PhD project is the practical evaluation of a combination of graph-based techniques with number-theoretic problems like the “simultaneous Chinese Remainder Theorem” or integer factorisation and generalizations thereof, especially practical evaluations of possible algorithms for the “Decisional Simultaneous Chinese Remaindering” problem is of interest. Suggestions for other interesting research topics in computational number theory or public key cryptography can also be discussed
Requirements:
Master-degree in Computer Science or Applied Mathematics; Proven interest in computational number theory or public key cryptography is required; Commitment, team spirit, a critical mind, and motivation are skills that are more than welcome; Language: English is a must, French/German in addition would be an asset; Willingness to inscribe as PhD-student at the University of Luxembourg
Text:
Doctoral researcher (PhD candidate) in Computer Science The proposed PhD project will be a continuation of research done by Jim Barthel in computational number theory and public key cryptography in the context of the PRIDE project. A possible research starting point for this PhD project is the practical evaluation of a combination of graph-based techniques with number-theoretic problems like the “simultaneous Chinese Remainder Theorem” or integer factorisation and generalizations thereof, especially practical evaluations of possible algorithms for the “Decisional Simultaneous Chinese Remaindering” problem is of interest. Suggestions for other interesting research topics in computational number theory or public key cryptography can also be discussed Master-degree in Computer Science or Applied Mathematics; Proven interest in computational number theory or public key cryptography is required; Commitment, team spirit, a critical mind, and motivation are skills that are more than welcome; Language: English is a must, French/German in addition would be an asset; Willingness to inscribe as PhD-student at the University of Luxembourg
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