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Pregled bibliografske jedinice broj: 986700

Designs over finite fields by difference methods


Buratti, Marco; Nakić, Anamari
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)


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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:

Avatar Url Anamari Nakić (autor)

Poveznice na cjeloviti tekst rada:

doi

Citiraj ovu publikaciju:

Buratti, Marco; Nakić, Anamari
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)
Buratti, M. & Nakić, A. (2019) Designs over finite fields by difference methods. Finite fields and their applications, 57 (1), 128-138 doi:.org/10.1016/j.ffa.2019.02.006.
@article{article, author = {Buratti, Marco and Naki\'{c}, Anamari}, year = {2019}, pages = {128-138}, DOI = {doi.org/10.1016/j.ffa.2019.02.006}, keywords = {Difference family, Design over a finite field, Group divisible design over a finite field}, journal = {Finite fields and their applications}, doi = {doi.org/10.1016/j.ffa.2019.02.006}, volume = {57}, number = {1}, issn = {1071-5797}, title = {Designs over finite fields by difference methods}, keyword = {Difference family, Design over a finite field, Group divisible design over a finite field} }
@article{article, author = {Buratti, Marco and Naki\'{c}, Anamari}, year = {2019}, pages = {128-138}, DOI = {doi.org/10.1016/j.ffa.2019.02.006}, keywords = {Difference family, Design over a finite field, Group divisible design over a finite field}, journal = {Finite fields and their applications}, doi = {doi.org/10.1016/j.ffa.2019.02.006}, volume = {57}, number = {1}, issn = {1071-5797}, title = {Designs over finite fields by difference methods}, keyword = {Difference family, Design over a finite field, Group divisible design over a finite field} }

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


Citati:





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