$B@>BR2p(B

1. $B0E9f3X(B: $B%G!<%?$*$h$SDL?.$N%;%-%e%j%F%#$rJ]$D$NJ}K!$KHf$Y$F0B2A$G$"$kE@$,CmL\$5$l$k!%(B $B8=:_$N0E9f5;=Q$rMxMQ$9$k$H!$DL?.2s@~$rMxMQ$7$?EjI<$dEE;R8=6b$J$I$,!$0B2A$+$D0BA4$KH$7$F$[$7$$!%!K(B
2. $B%9%?!<%j%s%03NN(J,I[B2(B: $B%G%#%8%?%k=pL>$,$D$$$F$$$kJ8=q$r!H(Bmeet-in-the-middle attack$B!I$G56B$$7$h$&$H$7$?$H$-$K!$56B$$,@.8y$9$k3NN($O!$%9%?!<%j%s%0?t$rMQ$$$?@j5rJ,I[$K=>$&!J%9%?!<%j%s%0?t$OFs9`78?t$HF1MM$J4pK\E*$J?t$G$"$k!K!%(B $B$3$NJ,I[$r3HD%$7$?J,I[4X?tB2$r3+H/$7$F$$$k!%(B $BB2$N$&$A$N0l$D$O!$?75-O??t8!Dj$KMxMQ$G$-$k!%(B

1.	$B!V8x=00E9f7O$NpJs=hM}!Y(B $BBh(B24$B4,(B 4$B9f!$(B1983, pp. 547-552.
2.	$B!V8x3+800E9f7O(B RSA $B$H8x3+80G[I[7O(B PKDS$B!W!$EZ5o!&>.;3JT!X%3%s%T%e!<%?!&%;%-%e%j%F%#!Y!$6&N)=PHG!$(B1986.
3.	$B!H(BOccupancy with two types of balls$B!I(B, Annals of the Institute of Statistical Mathematics, Vol. 40, No. 1, 1988, pp. 77-91 ($B6&Cx(B).
4.	$B!VFs
5.	$B!H(BProbability to meet in the middle$B!I(B, Journal of Cryptology, Vol. 2, No. 1, 1990, pp. 13-22 ($B6&Cx(B).
6.	$B!V(BFEAL $B$N6/EY;n83!W!XEE;R>pJsDL?.3X2q5;=Q8&5fJs9p!Y(B Vol. 90, No. 460 (ISEC90-50), 1991, pp. 43-45.
7.	$B!V?75-O??t8!Dj$N8!=PNO!W!X1~MQE}7W3X!Y(B Vol. 24, No. 11, 1995 ($B6&Cx(B).
8.	$B!X%W%m%0%i%`8@8l(B Fortran$B!Y!$(BJIS X 3001, $BF\|K\5,3J6(2q!$(B1994 ($B6&Cx(B).

9.	$B!V0E9f!W!XBgF\|K\I42JA4=q!Y(B $BBh(B1$B4,!$>.3X4[!$(B1984, pp. 877-878.
10.	$B!V0E9f!W!$W"@%7r$[$+4FLu!X%3%s%T%e!<%?4pACM}O@%O%s%I%V%C%/!Y(B I$B!$4]A1!$(B1984, pp. 711-753.

	$B$R$H$DLa$k(B
	$B@>B $B$KLa$k(B

NISHIMURA, Kazuo$B!!(Bnishimura@komazawa-u.ac.jp

$B@>BR2p(B