GF(3)上多位自收缩序列的模型与分析

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1、AbstraetA、animPort阴tkind、eqleneeofp、eudo一random、equenee、，Sell’-shrinking、equeneeattraetscxtensiveattentionreeontly.Inthi、paper，basedonSelf-shrinkingsoquene。(refCren-ee!1」)andMulti一self-shrinking、equenee(rcfcrenee【3」)overGF(2)，themodelofmulti一self-、hrinkingscqueneoi、rceonstruet

2、cdovcrGF(3).Itseonstruetioni、asfollows:Leta阅=(a。，al，aZ，…)bean二一sequoneegenerated饰anLFSRofIcngthno二rGF(3).W七dividethebit、ofaOOintothefollowinggroup，:a。，al，aZ)(a3，a4，as(a3、，a3、+1，a3、+2Ifa3、=0，thebitsofaOOwillbedisearded;Ifa3、=1，a3、+一15taken;Ifa3、=2，a3、+215taken，andalsonamotheout

3、put一sequenee200=(;。，:1，:2，…)Multi一self-shrinkingsequeneeoverGF(3).Aeeordingtothetheoryoffinitefieldsandrundistribution，wediseusstheperiodandlineareomple劝tyofMSS3一sequeneeandgetsomemaineonelusions:Conelusion1MSS3一sequene。之co15balaneedandthePeriodsatisfiesp(:oo)】2x3几一‘，p(zco)全3[

4、“/3J:Thelineareomplexitysatisfies3L“/3」一‘2x3[“/3J一‘.InlastPart，we

5、diseusssomcsPeeialeasesofseqleneesbasedongeneralPrimitivepolynomialsoverGF(3)andgiveeonjeetures.Keywords:multi一self-shrinkingsequenee;Period;lineareomPI翻ty:Primitivetri-nomial:Primitivequarternomial;run丫目录第一章基础知识号1.l引言51.2基础理论·······...................................……第二章多位自收

6、缩序列..................................……号2.1多位自收缩序列的模型..........................……互2.2多位自收缩序列的性质.........................……互2.2.1周期..……，..............................……且2.2.2线性复杂度..............................……第三章基于本原三项式的多位自收缩序列.........……第四章基于本原四项式的多位自收缩序列.........……第五章基于一般本原

7、多项式的多位自收缩序列的特例第六章几种自收缩序列的性质的比较...............……参考文献....................……，............................……后记............................……，......................……附录(l):TerminologyandNotation................……附录(2):已完成文章......................................……二25致谢..............

8、............................................……二26第一章基础知识扒.1引言