一类p元序列集的相关性和线性复杂度的分析.pdf
一类p元序列集的相关性和线性复杂度的分析pdf,一类p元序列集的相关性和线性复杂度的分析48大学数学第26卷s10≤i≤p"-1s"=/s"(t)10≤≤"-2),s"(1)=m1r(d+x02))2 fi(x)=trk(x+ Xixx∈Fp,y∈Fp4,(xy)= trk/xy+ yi(.,nt(YixtrA(x+ yiyfi(x)f1(x)/7,87n=2h,p"≠2mod3),C(y)=Xyxn1()y Fpn oCry)1+2Pp2(p2-2)/(p2-pRi. (tp(D+2(p-1p(1+2D(p--2)1p"-p2tr1(8)/=s"(t)02), s(t)=tri(tri(d+ Yia2p-17')Tsy"-2,0≤i,x三a,a=1-a,b=》-ka2(1)(t+ t) =tri(a+tip4-1)(2·pk-1)(t+vsi(t-str1/a(1-a)a+(Y2-8a1)ttri(ax+ 6Rii(tL0,Y2≠ya=0,b≠0gcd(2·p-1,p-1)=1,FR4(t)X b)=-1/0994-2010ChinaAcademicJouRnalElectronicPublishingHouse.Allrightsreservedhttp://www.cnki.netL,Ri i(t)P-pL≠0≠0gcd(2·p"-1,p-1=1,7≡(2·p2-1)(modp-1)Ri (t)Xax 6x2'ph8,8FCFR;(v=∑)=-1,∈F22kD(D=p⊥Ri j (y)p2p2(p2-2p2-n5R:;(T1+2·pbp2(p-2)(p2=p")6KLS()a′(t)=triltrk(d+yiatri/trk(x+ Yip)7/=n1//x+x十tri/(x+ yiLx(1+yi x∑/xy(xy3+y2+y+¥)C(x=/xy ( iy+y+ y+ 8)4j为,中(x)①(x)yr≠p'r(≡p'r(modp"-1),ged(r, P-1=1, p=p(modp -1),994-2010ChinaAdderlialornaypectonitptuhieHouseAllrightsreservedhttp://www.cnki.net大学数学第26卷三/xΦ(x)Ls(sEΦ(x)Xin(y)吗(y)ACB={a+bla∈A,b∈BrP‘,r<≤r≤(y)=(xy3+y+y+Y)=(Yy3+y2+y+y/7yi2+k0,p2,2·p1:p=(YD=C、=Q{0(3rs+1)s-1.3r,≤3·(p-1)<∏(3-+1)DN1≤≤o(i)Y=0LS(st)=h(i)Y2≠0k·4≤LS(s)s·Ⅱ(3(i)Y=0(y)=(入+1可(y)(A+1)=0LS(s")=k·1(x+1)(i)Y≠0吗(y)=(Yy3+y2+y+y)0,p2,(3x-1)AE!A 1lp 2sAs A Dp+s, yp十994-2010ChinaacademicjournalelectronicBoli33a-isepal3an.preserved.5ttowww.cnkinet(y)=Ⅱ(I(3r,+1≤入-1,1r=N1≤s≤叫=V(3)1)∑
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