Sub-difference sets of Hadamard difference sets
نویسندگان
چکیده
منابع مشابه
Constructions of Hadamard Difference Sets
Using a spread of PG(3; p) and certain projective two-weight codes, we give a general construction of Hadamard diierence sets in groups H (Z p) 4 , where H is either the Klein 4-group or the cyclic group of order 4, and p is an odd prime. In the case p 3 (mod 4), we use an ovoidal bration of PG(3; p) to construct Hadamard diierence sets, this construction includes Xia's construction of Hadamard...
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Difference sets wi th pa rame te r s (v, k, 2) m a y exist even if there are no abelian (v, k, ,~) difference sets; we give the first k n o w n example of this s i tuat ion. This example gives rise to an infinite family of non -abe l i an difference sets w i th pa rameters (4t 2, 2t a t, t 2 t), where t = 2 q. 3 r5 . 1 0 ' , q, r, s >/0, and r > 0 ~ q > 0. N o abel ian difference sets w i th th...
متن کاملA Survey of Hadamard Difference Sets
difference set, Hadamard A (u,k,A) difference set is a k-element subset D of a group G of order u for which the multiset {dldl2: dl,d2 E D, dl =t= d2} contains each nonidentity element of G exactly A times. A Hadamard difference set (HDS) has parameters of the form (u,k, A) = (4N2,2N2_N, N2·N). The Hadamard parameters provide the richest source of known examples of difference sets. The central ...
متن کاملCyclotomic constructions of skew Hadamard difference sets
Article history: Received 12 January 2011 Available online xxxx
متن کاملA family of skew Hadamard difference sets
In 1933 a family of skew Hadamard difference sets was described by Paley using matrix language and was called the Paley–Hadamard difference sets in the literature. During the last 70 years, no new skew Hadamard difference sets were found. It was conjectured that there are no further examples of skew Hadamard difference sets. This conjecture was proved to be true for the cyclic case in 1954, and...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1990
ISSN: 0097-3165
DOI: 10.1016/0097-3165(90)90009-l