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Projects / Programmes source: ARRS

Mathematical modelling and encryption: from theoretical concepts to real-life applications

Periods
January 1, 2019 - December 31, 2024
Research activity

Code Science Field Subfield
1.01.00  Natural sciences and mathematics  Mathematics   
1.07.00  Natural sciences and mathematics  Computer intensive methods and applications   

Code Science Field
P001  Natural sciences and mathematics  Mathematics 
Keywords
cryptography, linear algebra, abstract algebra, discrete mathematics, blockchain, sensors, IoT, interdisciplinary, encryption
Evaluation (rules)
source: COBISS
Points
9,878.91
A''
1,400.11
A'
3,640.05
A1/2
5,335.67
CI10
5,578
CImax
196
h10
34
A1
33.27
A3
33.06
Data for the last 5 years (citations for the last 10 years) on September 30, 2022; A3 for period 2016-2020
Data for ARRS tenders ( 04.04.2019 – Programme tender , archive )
Database Linked records Citations Pure citations Average pure citations
WoS  516  6,759  5,482  10.62 
Scopus  544  7,877  6,453  11.86 
Researchers (18)
no. Code Name and surname Research area Role Period No. of publications
1.  36182  PhD Michael David Burnard  Forestry, wood and paper technology  Researcher  2019 - 2022  135 
2.  37552  PhD Nastja Cepak  Mathematics  Researcher  2019 - 2022  15 
3.  35452  PhD Nina Chiarelli  Mathematics  Researcher  2019 - 2022  29 
4.  34384  PhD Karla Ferjančič  Mathematics  Researcher  2019 - 2022  20 
5.  24999  PhD Boštjan Frelih  Mathematics  Researcher  2019 - 2022  14 
6.  36609  PhD Samir Hodžić  Computer science and informatics  Researcher  2019  27 
7.  32518  PhD Ademir Hujdurović  Mathematics  Researcher  2019 - 2022  91 
8.  06734  PhD Dušanka Janežič  Computer intensive methods and applications  Researcher  2019 - 2022  490 
9.  35727  Olga Kaliada    Technician  2019 
10.  50985  PhD Miklos Kresz  Computer science and informatics  Researcher  2019 - 2022  83 
11.  51980  Sadmir Kudin  Mathematics  Junior researcher  2019 - 2022 
12.  31274  PhD Andreja Kutnar  Forestry, wood and paper technology  Researcher  2019 - 2022  358 
13.  27777  PhD Enes Pasalic  Mathematics  Principal Researcher  2019 - 2022  124 
14.  32026  PhD Rok Požar  Mathematics  Researcher  2019  37 
15.  50461  PhD Jakub Michal Sandak  Forestry, wood and paper technology  Researcher  2019 - 2022  218 
16.  38064  PhD Matthew John Schwarzkopf  Forestry, wood and paper technology  Researcher  2019 - 2022  84 
17.  50984  PhD Vaclav Sebera  Forestry, wood and paper technology  Researcher  2019  64 
18.  27559  PhD Vito Vitrih  Mathematics  Researcher  2019 - 2022  109 
Organisations (2)
no. Code Research organisation City Registration number No. of publications
1.  1669  University of Primorska, Andrej Marušič Insitute  Koper  1810014007  10,005 
2.  2790  University of Primorska, Faculty of mathematics, Natural Sciences and Information Technologies  Koper  1810014009  17,706 
Abstract
The core of this program is mathematics at its purest, encompassing abstract algebra, linear algebra, and discrete mathematics with cryptology as a bridge to applied mathematics. It is through cryptology, which has in recent years become deeply embedded in many aspects of society, that the most abstract mathematical ideas find a fruitful reflection in real-life applications where security remains an imperative. Continued advances in cryptology are required to expand robust security measures for data storage, transmission, and verification. Indeed, as digital technologies advance and become more widespread the data they collect, create, process, and store the demand for security is increasing dramatically. The novelty of this research program is its approach to advancing the state of the art in cryptology research and while embedding new advances in connected fields by leveraging IoT, blockchain, and discrete mathematics. The program is divided into four interdisciplinary working groups that create a pathway for the mathematical advances developed in the program to rapidly find use in real-life applications, including computer aided engineering, data analysis, built environments.
Significance for science
This program is a critical step in advancing cryptology that is rapidly transferring those advances into real-life applications. The advances in mathematics pursued in this program, while focused primarily in cryptology, rely on several disciplines of discrete mathematics which will be investigated at theoretical and applied levels. As mathematics is a fundamental component of all sciences, any progress, whether incremental or breakthrough, can have major impacts across many fields of science. This program is expected to enhance data security and encryption measures in general, and improve data security in science, engineering, buildings, and for the internet of things.
Significance for Slovenia
Society and the economy are propelled by curiosity and scientific discovery. Key aspects of society, such as personal security and privacy in a highly-connected digitally driven world, rely on continued advances in mathematics and cryptology. Likewise, economic growth is now heavily reliant on digital technologies like connected devices and the internet of things. Rapid advancement in these areas often sacrifice security when mathematical solutions are available. Similarly, challenges to the economic status quo – such as digital currencies – have delivered key security technologies, such as blockchain, which is already having a wide impact beyond currency alternatives. This program will ensure a strong link between advances in mathematics, scientific research, and deployed systems. These formalised links will make security measures and privacy a priority for new developments that will affect a wide spectrum of social and economic issues.
Most important scientific results Interim report
Most important socioeconomically and culturally relevant results Interim report
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