Pregled bibliografske jedinice broj: 986700
Designs over finite fields by difference methods
Designs over finite fields by difference methods // Finite fields and their applications, 57 (2019), 1; 128-138 doi:.org/10.1016/j.ffa.2019.02.006 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 986700 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Designs over finite fields by difference methods
Autori
Buratti, Marco ; Nakić, Anamari
Izvornik
Finite fields and their applications (1071-5797) 57
(2019), 1;
128-138
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Difference family ; Design over a finite field ; Group divisible design over a finite field
Sažetak
One of the very first results about designs over finite fields, by S. Thomas, is the existence of a cyclic 2- design over F_2 for every integer n coprime with 6. Here, by means of difference methods, we reprove and improve a little bit this result showing that it is true, more generally, for every odd n. In this way, we also find the first infinite family of non- trivial cyclic group divisible designs over F_2.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-6732 - Kombinatorički objekti i kodovi (COCo) (Crnković, Dean, HRZZ ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Anamari Nakić
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus