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Načrti, kode, grafi in kriptografija - interdisciplinarni pristop v analizi določenih diskretnih struktur / Designs, codes, graphs and cryptography an interdisciplinary approach in analysis of certain discrete structures

Naziv

Tittle

Načrti, kode, grafi in kriptografija - interdisciplinarni pristop v analizi določenih diskretnih struktur / Designs, codes, graphs and cryptography an interdisciplinary approach in analysis of certain discrete structures

Akronim

Acronim

BI-HR/18-19-013

Opis

Description

(SI) V okviru projekta bomo študirali LDPC kode konstruirane iz kombinatoričnih načrtov in njihove geodetske grafe. Dobljene strukture bodo analizirane glede na njihove grupe avtomorfizmov in druge strukturne lastnosti (geometrijske, algebraične). Dobljene kode, načrti, funkcije in grafi bodo primerjani z poprej znanimi strukturami. Kot rezultat predlaganega raziskovalnega dela pričakujemo konstrukcije kod z dobrimi lastnostmi, po možnosti boljšimi kot trenutno poznane kode in konstrukcije različnih kombinatoričnih struktur in sorodnih objektov. 
(EN) The proposed research will be focused on construction of codes and combinatorial structures, such as combinatorial designs, various types of graphs, for example strongly regular graphs and divisible design graphs, and finding relations between obtained codes, combinatorial structures and certain families of cryptographically significant functions such as bent functions and their modifications. Codes will be constructed directly from the obtained combinatorial structures, and vice versa. The LDPC codes constructed from combinatorial designs and their geodetic graphs will be studied.

Trajanje

Duration

01/01/2018 - 31/12/2019

Vodja projekta

Project Leader

dr. Enes Pasalic

Sodelujoče organizacije

Participating organizations

University of Rijeka (Tehnički fakultet)

Oddelek

Department

Oddelek za matematiko IAM
Univerza na Primorskem

Inštitut Andrej Marušič
UP IAM

Muzejski trg 2
6000 Koper
Slovenija

tel.: +386 (0)5 611 75 91
fax.: +386 (0)5 611 75 92
e-mail: info@iam.upr.si
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