Although the outcomes of open-flap debridement alone were not investigated, the application of EMD alone appeared to yield less PD reduction and CAL gain compared to GTR therapy in the treatment of deep, non-contained intrabony defects.
In this paper we construct infinite families of non-linear maximum rank distance codes by using the setting of bilinear forms of a finite vector space. We also give a geometric description of such codes by using the cyclic model for the field reduction of finite geometries and we show that these families contain the non-linear maximum rank distance codes recently provided by Cossidente, Marino and Pavese.
Starting with carefully chosen sets of points in the Desarguesian affine plane AG(2, q 2 ) and using an idea first formulated by E. Shult, several infinite families of translation ovoids of the Hermitian surface are constructed. Various connections with locally Hermitian 1-spreads of Q − (5, q) and semifield spreads of P G(3, q) are also discussed. Finally, geometric characterization results are developed for the translation ovoids arising in the so-called classical and semiclassical settings.Mathematics Subject Classification (2002): 51E20, 51A50
The size of large minimal blocking sets is bounded by the Bruen-Thas upper bound. The bound is sharp when q is a square. Here the bound is improved if q is a non-square. On the other hand, we present some constructions of reasonably large minimal blocking sets in planes of non-prime order. The construction can be regarded as a generalization of Buekenhout's construction of unitals. For example, if q is a cube, then our construction gives minimal blocking sets of size q 4=3 þ 1 or q 4=3 þ 2. Density results for the spectrum of minimal blocking sets in Galois planes of non-prime order is also presented. The most attractive case is when q is a square, where we show that there is a minimal blocking set for any size from the interval ½4q log q; q ffiffi ffi q p À q þ 2 ffiffi ffi q p . #
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