on,aclaofbinaryarrayswithzczproperty,basedonaclaofmutuallyorthogonaltwo-dimeionalcomplementarycodes,ispresented.besides,aclaofbinaryarrayswithlowcorrelationzoneisalsoobtained.thecorrlationfunctioofthesearraysarezeroorverylowwithinarectanglearoundtheorigin.itinotedthat,similarconceptandcotructioncabeeasilyextendedtothree-dimeionalorhigherdimeionalcodewithloworzerocorrelation.
basedontheautocorrelationpropertyofm-sequenceovergf(p),amethodforcotructingorthogonalsequencesetsovergaloisringisderivedbymakinguseofthetracefunction.itcanbesimplyrealizedbymeaoftwoshiftregisters.inordertodereadthesignalefficientlyatthereceiver,afastalgorithmforimplementingthebankofcorrelatorsisalsoderivedtodecreaseloaddramatically,byperforminggeneralizedfasthadamardtraformoftheblockofpermutedsamples.
astrictmathematicaldefinitionforlasequencesisestablished,andthelowerboundsonthelengthoflasequenceisderived.basedonthedefinitionoflasequences,severalalgorit
hmsarepresented,andthecotructionbasedonevolutionaryalgorithmisthebestitisshownthattheresultobtainedaremuchbetterthantheknownresults.moreover,thelengthofthemostnewlacodesreachesthelowerbounds.
thelczorzczsequencespresentedinthisthesisaresuitableforalicatioquasi-synchronouscdmasystemtoreduceoreliminatetheco-chaelinterference,and,therefore,toincreasethesystemcapacitysignificantly.