منابع مشابه
Labelings of Lee and Hamming spaces
The labeling of the Hamming Space (Z2; dh) by the rotation group Z4 and its coordinate-wise extension to Z 2 give rise to the concept of Z4-linearity. Attempts to extend this concept have been done in di4erent ways. We deal with a natural extension question: Is there any pattern of a cyclic group G labeling of Zm with the Hamming or Lee metric? The answer is no. Actually, we show here that Lee ...
متن کاملsome properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولHypermetric Spaces and the Hamming Cone
where / ^ 0, F is a proper subset of {1, 2, . . . , n) and the symbol 1_ is used for "exclusive or": i JL j £ V means i G V, j £ V or i (? V,j(z V. The metrics (2) are extreme rays of the metric cone and are called Hamming rays. The convex hull of these rays is called the Hamming cone Hn and we call d Hamming, if d Ç Hn. Such metrics are also called L-embeddable (e.g., [2]) or addressable (e.g....
متن کاملGood coverings of Hamming spaces with spheres
The covering radius problem has been considered by many authors (e.g. [ 1, 5, 61). Finally, let t(n, k) be the minimum possible covering radius for an (n, k) code and k(n, p) the minimum possible dimension of a code with covering radius p. The study of t(n, k) was initiated by Karpovsky. For a survey of these questions, see ]41. The main goal of this paper is to find good linear coverings. The ...
متن کاملDistinguishing labelings of group action on vector spaces and graphs
Suppose Γ is a group acting on a set X . A k-labeling of X is a mapping c : X → {1, 2, . . . , k}. A labeling c of X is distinguishing (with respect to the action of Γ) if for any g ∈ Γ, g 6= idX , there exists an element x ∈ X such that c(x) 6= c(g(x)). The distinguishing number, DΓ(X), of the action of Γ on X is the minimum k for which there is a k-labeling which is distinguishing. This paper...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2003
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(02)00454-5