103
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Frederick Kin Hing Phoa

2012-05-11
13:00:00 - 14:40:00

103 , Mathematics Research Center Building (ori. New Math. Bldg.)

The research of developing a general methodology for the construction of good nonregular designs has been very active in the last decade. Recent researches indicate that nonregular designs constructed from Quaternary codes are very promising in this regard. This talk explores the properties and uses of Quaternary codes toward the construction of nonregular designs. Some theoretical results are obtained regarding the aliasing structure of Quaternary-code designs. In addition, a mathematical expres- sion via Trigonometric approach is introduced, which can facilitate a systematic under- standing of Quaternary-code designs. Optimal (1=4)th-, (1=8)th- and (1=16)th-fractions Quaternary-code designs, constructed under the maximum resolution, minimum aber- ration and maximum projectivity criteria, are reported in this talk. Finally, some recent theoretical results regarding to the fundamental properties and design structure peri- odicity of a general Quaternary-code design are stated.