Two different constructions are given of a rank 8 arc-transitive graph with 165 vertices and valency 8, whose automorphism group is M11. One involves 3-subsets of an 11-set while the other involves 4-subsets of a 12-set, and the constructions are linked with the Witt designs on 11, 12 and 24 points. Four different constructions are given of a rank 9 arc-transitive graph with 55 vertices and val...

We show how to use the elements of a sharply k-transitive permutation group of degree n to form error-correcting codes, as suggested by Blake [1], presenting suitable decoding algorithms for these codes. In particular, we concentrate on using the Mathieu group M12 to form a (12,95040,8)-code to correct three errors. The algorithm we give for this code differs from that given by Cohen and Deza [2].

In the previous centuries, a lot of energies were expended on the scientific knowledge of the Castle Hill, Buda, declared a part of the World Heritage, however only few scientist carried out researches on the hydrogeology of the Hill and out of them only the results of Kessler’s studies survived in a systematized form. The author has been dealing with the hydrologic and hydrogeologic investigat...

BACKGROUND Acute Hill-Sachs reduction represents a potential alternative method to remplissage for the treatment of an engaging Hill-Sachs lesion. This study biomechanically compared the stabilizing effects of an acute Hill-Sachs reduction technique and remplissage. METHODS Six cadaveric shoulders were tested. For the acute Hill-Sachs lesion, a unique model was used to create a 30% defect, co...

introduction: the 2×2 model is the newest model of perfectionism that has been raised several hypotheses about the compatibility’s level of different types of perfectionism. the main aim of this study is to test these hypotheses. methods : a hundred and ninety eight ma students were selected through a cluster random sampling and were divided into four groups based on perfectionism’s types with ...