$B9)A!Bg$NDMK\$G$9(B.

In article <6c06ccb9-299c-4f72-a06a-33b5be64602b@t10g2000yqg.googlegroups.com>
KyokoYoshida <kyokoyoshida123@gmail.com> writes:
> [0]={x^2+x+1+f(x)$B!&(B0;f(x)$B":(BR[x]}={x^2+x+1;f(x)$B":(BR[x]}={x^2+x+1}$B$H$J$k!#(B

$B$=$l$O4V0c$$(B.
 [0] = { 0 + f(x)(x^2+x+1) ; f(x) $B":(B R[x] } $B$G$9(B.
 
> $B=>$C$F(B,{(x^2+x+1)(f(x)+1);f(x)$B":(BR[x]}$B!b(B{x^2+x+1}$B$J$N$G(B
> [x^2 + x + 1]=[0]$B$H$O8@$($J$$$H;W$&$N$G$9$,!"!"!"(B

 [x^2+x+1] = { x^2+x+1 + f(x)(x^2+x+1) ; f(x)$Bch$(D??(B[x] }
 = { 0 + (f(x) + 1)(x^2+x+1) ; f(x)$Bch$(D??(B[x] }
 = { 0 + f(x)(x^2+x+1) ; f(x)$Bch$(D??(B[x] }
 = [0]

> In article <100611124903.M0222224@ras1.kit.ac.jp>
> Tsukamoto Chiaki <chiaki@kit.ac.jp> writes:
> > $BJ#AG?tBN(B C $B$NCf$N(B z^2 + z + 1 = 0
> > $B$rK~$?$985(B z $B$KhK!$NDj5A(B)
> =$BN&(B([aa'x^2+(aa'-aa'+ab'+a'b)x+aa'-aa'+bb'])
> =$BN&(B([aa'(x^2+x+1)+(-aa'+ab'+a'b)x-aa'+bb'])
> =$B&5(B([aa'(x^2+x+1)]+[(-aa'+ab'+a'b)x-aa'+bb']) ($B"hN`$N2CK!$NDj5A(B)

$B$3$3$^$G$O$^$"NI$$(B.

> =$B&5(B({x^2+x+1+f(x)(aa');f(x)$B":(BR[x]}+[(-aa'+ab'+a'b)x-aa'+bb']) ($B"hN`$NDj5A(B)

 [aa'(x^2+x+1)]
 = { aa'(x^2+x+1) + f(x)(x^2+x+1) ; f(x)$Bch$(D??(B[x] }
 = { 0 + (f(x) + aa')(x^2+x+1) ; f(x)$Bch$(D??(B[x] }
 = { 0 + f(x)(x^2+x+1) ; f(x)$Bch$(D??(B[x] }
 = [0]

$B$G$9(B. $B$@$+$i(B

  = $BN&(B([(-aa'+ab'+a'b)x-aa'+bb'])

> $B$G$3$3$+$i$O(B{x^2+x+1+f(x)(aa');f(x)$B":(BR[x]}=[0]$B$,@.N)$D$N$+$J$H$b;W$$$^$7$?$,(B

$B$=$l$O(B [aa'(x^2+x+1)] $B$r=q$-49$($k$H$3$m$G4V0c$C$F$$$^$9$+$i(B
$BBLL\$G$9$,(B, $B7k2L$H$7$F$O(B

> =$BN&(B([0]+[(-aa'+ab'+a'b)x-aa'+bb'])
> =$B&5(B([0+(-aa'+ab'+a'b)x-aa'+bb']) ($B"hN`$N2CK!$NDj5A(B)
> =$BN&(B([(-aa'+ab'+a'b)x-aa'+bb'])
> =(-aa'+ab'+a'b)$B&X(B+(-aa'+bb')($B"h&5$NDj5A(B)

$B$H$J$j$^$9(B.

> $B$H$J$j(B,(-aa'+bb')+b'b$B&X(B'$B$K$J$C$F$/$l$^$;$s!#(B
> 
> $B2?=h$,4V0c$C$F$$$k$N$G$7$g$&$+(B?

$BBt;34V0c$C$F$$$^$9$M(B.
-- 
$BDMK\@i=)(B@$B?tM}!&<+A3ItLg(B.$B4pHW2J3X7O(B.$B5~ET9)7]A!0]Bg3X(B
Tsukamoto, C. : chiaki@kit.ac.jp