Degrees:
2015
Doctorate Mathematical sciences
Number theory
Publications resulting from Research
An efficient multivariate threshold ring signature scheme, with Dung Hoang Duong and Le Van Luyen, submitted.
A multivariate blind ring signature scheme, with Dung H. Duong and Willy Susilo, The Computer Journal, bxz128https://doi.org/10.1093/comjnl/bxz128
Choosing subfields for LUOV and LRainbow Signature Scheme, with Dung Hoang Duong and Le Van Luyen, IET Information Security, 2019
https://digital-library.theiet.org/content/journals/10.1049/iet-ifs.2018.5288?crawler=redirect
Computation of triangular integral bases, with Jens Dietrich Bauch, Thirteenth Algorithmic Number Theory Symposium ANTS-XIII proceeding.
The size function for cyclic cubic fields, with Peng Tian, Int. J. Number Theory 14, 399 (2018).
https://doi.org/10.1142/S1793042118500276
https://arxiv.org/abs/1609.02858
The size function of quadratic extensions of complex quadratic fields, Journal de théorie des nombres de Bordeaux, 29 no. 1 (2017), p. 243-259.
http://jtnb.cedram.org/jtnb-bin/item?id=JTNB_2017__29_1_243_0
https://arxiv.org/abs/1504.01045
Computing dimensions of spaces of Arakelov divisors of number fields, Int. J. Number Theory, March 2017, Vol. 13, No. 02: pp. 487-512
DOI: http://dx.doi.org/10.1142/S1793042117500270
http://arxiv.org/abs/1506.04540
Well-Rounded Lattices for Coset Coding in MIMO Wiretap Channels, with Oliver W. Gnilke, Amaro Barreal, Alex Karrila, David A. Karpuk and Camilla Hollanti, 26th International Telecommunication Networks and Applications Conference, ITNAC 2016., p. 289-294.
http://ieeexplore.ieee.org/document/7606856/?reload=true
https://arxiv.org/abs/1609.07666
Well-Rounded Lattices for Reliability and Security in Rayleigh Fading SISO Channels, with O. W. Gnilke, A. Karrila and C. Hollanti, Information Theory Workshop (ITW), 2016 IEEE, 359-363
http://ieeexplore.ieee.org/document/7606856/?reload=true
https://arxiv.org/pdf/1605.00419v1.pdf
On reduced Arakelov divisors of real quadratic fields, Acta Arith. 3483 (2016), 297-315.
https://www.impan.pl/shop/onepagecheckout/
http://arxiv.org/abs/1412.5043
A generalization of reduced Arakelov divisors of a number field, Journal of Number Theory 167 (2016) 104 - 117.
http://www.sciencedirect.com/science/article/pii/S0022314X16300531
A multivariate blind ring signature scheme, with Dung H. Duong and Willy Susilo, The Computer Journal, bxz128https://doi.org/10.1093/comjnl/bxz128
Choosing subfields for LUOV and LRainbow Signature Scheme, with Dung Hoang Duong and Le Van Luyen, IET Information Security, 2019
https://digital-library.theiet.org/content/journals/10.1049/iet-ifs.2018.5288?crawler=redirect
Computation of triangular integral bases, with Jens Dietrich Bauch, Thirteenth Algorithmic Number Theory Symposium ANTS-XIII proceeding.
The size function for cyclic cubic fields, with Peng Tian, Int. J. Number Theory 14, 399 (2018).
https://doi.org/10.1142/S1793042118500276
https://arxiv.org/abs/1609.02858
The size function of quadratic extensions of complex quadratic fields, Journal de théorie des nombres de Bordeaux, 29 no. 1 (2017), p. 243-259.
http://jtnb.cedram.org/jtnb-bin/item?id=JTNB_2017__29_1_243_0
https://arxiv.org/abs/1504.01045
Computing dimensions of spaces of Arakelov divisors of number fields, Int. J. Number Theory, March 2017, Vol. 13, No. 02: pp. 487-512
DOI: http://dx.doi.org/10.1142/S1793042117500270
http://arxiv.org/abs/1506.04540
Well-Rounded Lattices for Coset Coding in MIMO Wiretap Channels, with Oliver W. Gnilke, Amaro Barreal, Alex Karrila, David A. Karpuk and Camilla Hollanti, 26th International Telecommunication Networks and Applications Conference, ITNAC 2016., p. 289-294.
http://ieeexplore.ieee.org/document/7606856/?reload=true
https://arxiv.org/abs/1609.07666
Well-Rounded Lattices for Reliability and Security in Rayleigh Fading SISO Channels, with O. W. Gnilke, A. Karrila and C. Hollanti, Information Theory Workshop (ITW), 2016 IEEE, 359-363
http://ieeexplore.ieee.org/document/7606856/?reload=true
https://arxiv.org/pdf/1605.00419v1.pdf
On reduced Arakelov divisors of real quadratic fields, Acta Arith. 3483 (2016), 297-315.
https://www.impan.pl/shop/onepagecheckout/
http://arxiv.org/abs/1412.5043
A generalization of reduced Arakelov divisors of a number field, Journal of Number Theory 167 (2016) 104 - 117.
http://www.sciencedirect.com/science/article/pii/S0022314X16300531
2025
Please see the attached file
2025