K.T. Arasu
(Department of Mathematics and Statistics,
Wright State University)
Some New Results on Pseudo-random Arrays
Abstract
Arrays whose two-dimensional auto-correlation functions having desirable
correlation properties have found applications in spectrometry, acoustics
and crytography for encrypting two-dimensional arrays such as images. As
pointed out by I.M.Chakravarti, Gates and Azais, such arrays are applicable
in the design of experiments where a plant competes with neighbors of the
same type and a second type. This talk will deal with some new constructions
of such arrays. We shall call them: perfect arrays. Several new families
of these have been constructed by the speaker (joint work with Warwick
de Launey in the quaternary case, with John Dillon and Kevin Player in
the binary/ternary case). There are certain variations of these in the
literature. We shall give a brief overview of this subject matter. The
exciting news is our settling a few recent conjectures of Lin and Gong
on perfect ternary sequences.
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