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On the class 1
Mingyuan Xia,Gang Liu +1 more
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TLDR
In this article, an infinite family of 1 is obtained, that is, 1 ( υ ) ≠ ∅ for υ ɛ N = N 1 U N 2 U N 3 whereAbout:
This article is published in Acta Mathematica Scientia.The article was published on 1995-01-01. It has received 5 citations till now.read more
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A family of C-partitions and T-matrices
Mingyuan Xia,Tianbing Xia +1 more
TL;DR: In this article, Combin et al. give the definition of C-partitions in an abelian group and consider the relation between C-parts, supplementary difference sets and T-matrices.
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New constructions of Hadamard matrices
Ka Hin Leung,Koji Momihara +1 more
TL;DR: A number of new infinite families of Hadamard matrices of order 4(uv+1) are obtained by applying the Wallis-Whiteman array or the Kharaghani array to the difference families constructed.
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Some new results on transition probability
TL;DR: In this paper, the basic properties of stationary transition probability of Markov processes on a general measurable space (E, ℰ), such as the continuity, maximum probability, zero point, positive probability set, standardization, were studied.
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New constructions of Hadamard matrices
Ka Hin Leung,Koji Momihara +1 more
TL;DR: In this article, the Wallis-Whiteman array or the Kharaghani array are applied to the difference families of the Hadamard matrices to obtain new infinite families of Hadamards.
Journal ArticleDOI
A new family of Hadamard matrices of order 4(2q2+1)
TL;DR: By applying the Wallis-Whiteman array, this paper obtains Hadamard matrices of order $4(2q^2+1)$ for the aforementioned $q$'s.
References
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Journal ArticleDOI
Some infinite classes of special Williamson matrices and difference sets
TL;DR: There exist Hadamard matrices of special Williamson kind and difference sets of order 4 × 32r × (p1r1···pnrn)4 for any integer n ⩾ 1, primes p1, …, pn, and all nonnegative integers r, r1,…, rn.
A survey of base sequences, disjoint complementary sequences and OD(4t; t, t, t, t)
TL;DR: In this article, Cohen et al. survey the existence of base sequences, disjoint complementary sequences and OD(4t; T, T, t, tT, T T ) with zero non-periodic (periodic) autocorrelation function.
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Supplementary difference sets and Jacobi sums
TL;DR: It is proved that D1,…, D n become n−{q:u1∝, u2 ∼”, …, un∝;λ} supplementary difference sets if and only if the following equations are satisfied.
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A family of supplementary difference sets
TL;DR: In this paper, a family of m − ( ν, k, λ) supplementary difference sets with parameters ν = 2 mf + 1, where ν is a prime and f is odd, k = mf and λ = m (mf −1)/2.
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Nonexistence of certain supplementary difference sets
TL;DR: In this paper, it was shown that the parameters of supplementary difference sets in any cyclic group G with a subgroup of index 2 can be restricted, which includes all cyclic groups of even orders.