Naslov
Searching for Hadamard Partitioned Difference Families

Autori
Nakić, Anamari

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, kratko priopćenje, znanstveni

Izvornik
Combinatorics 2018 / - , 2018, 1-1

Skup
Combinatorics 2018 conference

Mjesto i datum
Arco, Italija, 03.06.2018. - 09.06.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Hadamard Partitioned Difference Families

Sažetak
A (G, [k_1, ..., k_t], lambda) partitioned difference family (PDF) is a partition of an additive group G into sets (it blocks) of sizes k_1, ..., k_t, with the property that every non- zero element of G is covered lambda times by the list of differences of the blocks. This notion was introduced for the construction of optimal constant composition codes. If G has order 2*lambda, we speak of a Hadamard PDF. The importance of PDFs with this property lies in the fact that each of them gives rise to an infinite class of PDFs in suitable supergroups of G. If D is a Hadamard difference set in a group $G$ of order 4u^2, then {; ; D, G\setminus D}; ; is clearly a Hadamard (G, [2u^2-u, 2u^2+u], 2u^2)- PDF. Some work in progress on the hard task of finding Hadamard PDFs which are not of the above form is presented.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA