منابع مشابه
A Hadamard matrix of order 428 ∗
Four Turyn type sequences of lengths 36, 36, 36, 35 are found by a computer search. These sequences give new base sequences of lengths 71, 71, 36, 36 and are used to generate a number of new T -sequences. The first order of many new Hadamard matrices constructible using these new T -sequences is 428.
متن کاملSkew Hadamard Difference Sets from Dickson Polynomials of Order 7
Skew Hadamard difference sets have been an interesting topic of study for over 70 years. For a long time, it had been conjectured the classical Paley difference sets (the set of nonzero quadratic residues in Fq where q ≡ 3 mod 4) were the only example in Abelian groups. In 2006, the first author and Yuan disproved this conjecture by showing that the image set of D5(x2, u) is a new skew 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 کاملCyclotomic constructions of skew Hadamard difference sets
Article history: Received 12 January 2011 Available online xxxx
متن کاملAn Infinite Family of Skew Hadamard Matrices
It has been conjectured that iϊ-matrices and even skew iJ-matrices always exist for n divisible by 4. Constructions of both types of matrices have been given for particular values of n and also for various infinite classes of values (see [1] for the pertinent references). In [1] D. Blatt and G. Szekeres constructed for the first time a skew ίf-matrix of order 52. Their construction is summarize...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1971
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700047079