Constructions of skew Hadamard difference families
نویسندگان
چکیده
منابع مشابه
Cyclotomic constructions of skew Hadamard difference sets
Article history: Received 12 January 2011 Available online xxxx
متن کاملConstructions 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...
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...
متن کاملConstructions of strongly regular Cayley graphs and skew Hadamard difference sets from cyclotomic classes
In this paper, we give a construction of strongly regular Cayley graphs and a construction of skew Hadamard difference sets. Both constructions are based on choosing cyclotomic classes in finite fields, and they generalize the constructions given by Feng and Xiang [10, 12]. Three infinite families of strongly regular graphs with new parameters are obtained. The main tools that we employed are i...
متن کاملConstructions of partitioned difference families
Partitioned difference families (PDFs) arise from constructions of optimum constant composition codes. In this paper, a number of infinite classes of PDFs are constructed, based on known cyclotomic difference families in GF(q). A general approach which obtains PDFs from difference packings and coverings in abelian group is also presented. c © 2007 Elsevier Ltd. All rights reserved.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2019
ISSN: 0195-6698
DOI: 10.1016/j.ejc.2018.09.007