Existing bounds on the minimum weight d of the dual 7-ary code of a projective plane of order 49 show that this must be in the range of 75 < d < 99. We use combinatorial arguments to improve this range to 87 < d < 99, noting that the upper bound can be taken to be 91 if the plane has a Baer subplane, as in the desarguesian case. A brief survey of known results for the minimum weight of the dual...

In ring theory, the notion of annihilator is an important tool for studying the structures. Many characterizations and structure theorems can be derived by using this notion. On the other hand, certain classes of rings (e.g., Baer rings and Rickart rings) are defined by considering annihilators ideals. In the present work, we introduce a class of rings which is close to the class of Rickart rin...

We determine the minimum weight of the ternary dual codes of each of the four projective planes of order 9, and of the seven affine planes of order 9. The proof includes a construction of a word of small, sometimes minimal, weight in the dual code of any plane of square order containing a Baer subplane. Dedicated to S. S. Shrikhande

Toluene is a major industrial solvent and substance of abuse which is ototoxic in rats as shown by both behavioral testing and measurement of brainstem auditory evoked response (BAER) thresholds. The objective of this investigation was to examine the morphological (hair cell loss) and functional (BAER threshold elevations) changes resulting from toluene administration. In the preliminary experi...