DES is the workhorse of cryptography algorithms, but it's long been time to replace the 19-year-old standard. The recent design of a $1M machine that could recover a DES key in 3.5 hours only confirmed what everybody knew--DES's key size is far too small.
From the outset, DES was trusted only because it survived the scrutiny of the NSA. Experts trusted DES because it was a published standard, and because it survived 20 years of intensive scrutiny by cryptographers around the world. Cryptography is like that: Confidence in an algorithm grows as group after group fails to break it.
Recently, candidates that can be considered serious DES replacements are emerging, although none have yet taken widespread hold. Triple-DES is the conservative approach; IDEA (used in PGP) is the most promising new algorithm. And there are a bevy of unpatented also-rans: RC4 (once a trade secret of RSA Data Security, but now publicly available on the Internet), SAFER, and my own Blowfish.
I first presented Blowfish at the Cambridge Algorithms Workshop; see "Description of a New Variable-Length Key, 64-bit Block Cipher (Blowfish)," Fast Software Encryption, R. Anderson, ed., Lecture Notes in Computer Science #809 (Springer-Verlag, 1994) and in DDJ ("The Blowfish Encryption Algorithm," April 1994). From the start, Blowfish was intended to be a completely free--unpatented, unlicensed, and uncopyrighted--alternative to DES. Since then it has been analyzed, and we've begun to see its application in both public and private systems. In this article, I'll present new Blowfish code, as well as updates on the algorithm's security.
Blowfish is a block cipher that encrypts data in 8-byte blocks. The algorithm consists of two parts: a key-expansion part and a data-encryption part. Key expansion converts a variable-length key of at most 56 bytes (448 bits) into several subkey arrays totaling 4168 bytes. (Note that the description presented here differs slightly from the one in the April 1994 DDJ, specifically in steps 5 and 6 of the subkey-generation algorithm.)
Blowfish has 16 rounds. Each round consists of a key-dependent permutation and a key- and data-dependent substitution. All operations are XORs and additions on 32-bit words. The only additional operations are four indexed-array data lookups per round.
Subkeys. Blowfish uses many subkeys, which must be precomputed before any data encryption or decryption. The P-array consists of 18 32-bit subkeys: P1, P2,..., P18. There are also four 32-bit S-boxes with 256 entries each: S1,0, S1,1,..., S1,255; S2,0, S2,1,..., S2,255; S3,0, S3,1,..., S3,255; S4,0, S4,1,..., S4,255.
Encryption and decryption. Blowfish has 16 rounds. The input is a 64-bit data element, x. Divide x into two 32-bit halves: xL, xR. Then, for i=1 to 16:
Function F. For Function F, divide xL into four 8-bit quarters: a, b, c, and d. Then, F(xL)=((S1,a+S2,b mod 232) XOR S3,c)+S4,d mod 232.
Decryption is exactly the same as encryption, except that P1, P2,..., P18 are used in the reverse order.
Generating the subkeys. The subkeys are calculated using the Blowfish algorithm:
C code. Listings One and Two present C code for Blowfish that has been improved and corrected over that published in April 1994. Listing Three provides sample test vectors for the code.
When I first presented Blowfish, DDJ sponsored a cryptanalysis contest. I am pleased to present the most interesting submissions here.
John Kelsey developed an attack that could break 3-round Blowfish, but was unable to extend it. This attack exploits the F function and the fact that addition mod 232 and XOR do not commute. Vikramjit Singh Chhabra looked at ways of efficiently implementing a brute-force keysearch machine.
Serge Vaudenay examined a simplified variant of Blowfish, with the S-boxes known and not key dependent. For this variant, a differential attack can recover the P-array with 28r+1 chosen plaintexts (r is the number of rounds). This attack is impossible for 8-round Blowfish and higher, since more plaintext is required than can possibly be generated with a 64-bit block cipher.
For certain weak keys that generate weak S-boxes (the odds of getting them randomly are 1 in 214), the same attack requires only 24r+1 chosen plaintexts to recover the P-array (again, assuming the S-boxes are known). With unknown S-boxes, this attack can detect whether a weak key is being used, but cannot determine what it is (neither the S-boxes, the P-array, nor the key itself). This attack only works against reduced-round variants; it is completely ineffective against 16-round Blowfish.
Even so, the discovery of weak keys in Blowfish is significant. A weak key is one for which two entries for a given S-box are identical. There is no way to check for weak keys before doing the key expansion. If you are worried about it, you have to do the key expansion and check for identical S-box entries after you generate a Blowfish key. I don't think it's necessary, though.
As of yet, no one has developed an attack that breaks Blowfish. Even so, more cryptanalysis is required before pronouncing the algorithm secure. I invite you to continue analyzing the algorithm.
Copyright © 1995, Dr. Dobb's JournalDescription of Blowfish
After the 16th round, swap xL and xR again to undo the last swap. Then, xR=xR XOR P17 and xL=xL XOR P18. Finally, recombine xL and xR to get the ciphertext.
In total, 521 iterations are required to generate all required subkeys. Applications can store the subkeys rather than execute this derivation process multiple times.
(less the initial 3): P1=0x243f6a88, P2=0x85a308d3, P3=0x13198a2e, P4=0x03707344, and so on.Cryptanalysis of Blowfish
Conclusion
Listing One
/*********************blowfish.h********************/
/* $Id: blowfish.h,v 1.3 1995/01/23 12:38:02 pr Exp pr $*/
#define MAXKEYBYTES 56 /* 448 bits */
#define bf_N 16
#define noErr 0
#define DATAERROR -1
#define KEYBYTES 8
#define subkeyfilename "Blowfish.dat"
#define UWORD_32bits unsigned long
#define UWORD_16bits unsigned short
#define UBYTE_08bits unsigned char
/* choose a byte order for your hardware. ABCD - big endian - motorola */
#ifdef ORDER_ABCD
union aword {
UWORD_32bits word;
UBYTE_08bits byte [4];
struct {
unsigned int byte0:8;
unsigned int byte1:8;
unsigned int byte2:8;
unsigned int byte3:8;
} w;
};
#endif /* ORDER_ABCD */
/* DCBA - little endian - intel */
#ifdef ORDER_DCBA
union aword {
UWORD_32bits word;
UBYTE_08bits byte [4];
struct {
unsigned int byte3:8;
unsigned int byte2:8;
unsigned int byte1:8;
unsigned int byte0:8;
} w;
};
#endif /* ORDER_DCBA */
/* BADC - vax */
#ifdef ORDER_BADC
union aword {
UWORD_32bits word;
UBYTE_08bits byte [4];
struct {
unsigned int byte1:8;
unsigned int byte0:8;
unsigned int byte3:8;
unsigned int byte2:8;
} w;
};
#endif /* ORDER_BADC */
short opensubkeyfile(void);
unsigned long F(unsigned long x);
void Blowfish_encipher(unsigned long *xl, unsigned long *xr);
void Blowfish_decipher(unsigned long *xl, unsigned long *xr);
short InitializeBlowfish(unsigned char key[], short keybytes);
Listing Two
/*********************blowfish.c*********************/
/* TODO: test with zero length key */
/* TODO: test with a through z as key and plain text */
/* TODO: make this byte order independent */
#include <stdio.h> /* used for debugging */
#ifdef MACINTOSH
#include <Types.h> /* FIXME: do we need this? */
#endif
#include "blowfish.h"
#include "bf_tab.h" /* P-box P-array, S-box */
#define S(x,i) (bf_S[i][x.w.byte##i])
#define bf_F(x) (((S(x,0) + S(x,1)) ^ S(x,2)) + S(x,3))
#define ROUND(a,b,n) (a.word ^= bf_F(b) ^ bf_P[n])
inline
void Blowfish_encipher(UWORD_32bits *xl, UWORD_32bits *xr)
{
union aword Xl;
union aword Xr;
Xl.word = *xl;
Xr.word = *xr;
Xl.word ^= bf_P[0];
ROUND (Xr, Xl, 1); ROUND (Xl, Xr, 2);
ROUND (Xr, Xl, 3); ROUND (Xl, Xr, 4);
ROUND (Xr, Xl, 5); ROUND (Xl, Xr, 6);
ROUND (Xr, Xl, 7); ROUND (Xl, Xr, 8);
ROUND (Xr, Xl, 9); ROUND (Xl, Xr, 10);
ROUND (Xr, Xl, 11); ROUND (Xl, Xr, 12);
ROUND (Xr, Xl, 13); ROUND (Xl, Xr, 14);
ROUND (Xr, Xl, 15); ROUND (Xl, Xr, 16);
Xr.word ^= bf_P[17];
*xr = Xl.word;
*xl = Xr.word;
}
void Blowfish_decipher(UWORD_32bits *xl, UWORD_32bits *xr)
{
union aword Xl;
union aword Xr;
Xl = *xl;
Xr = *xr;
Xl.word ^= bf_P[17];
ROUND (Xr, Xl, 16); ROUND (Xl, Xr, 15);
ROUND (Xr, Xl, 14); ROUND (Xl, Xr, 13);
ROUND (Xr, Xl, 12); ROUND (Xl, Xr, 11);
ROUND (Xr, Xl, 10); ROUND (Xl, Xr, 9);
ROUND (Xr, Xl, 8); ROUND (Xl, Xr, 7);
ROUND (Xr, Xl, 6); ROUND (Xl, Xr, 5);
ROUND (Xr, Xl, 4); ROUND (Xl, Xr, 3);
ROUND (Xr, Xl, 2); ROUND (Xl, Xr, 1);
Xr.word ^= bf_P[0];
*xl = Xr.word;
*xr = Xl.word;
}
/* FIXME: Blowfish_Initialize() ??? */
short InitializeBlowfish(UBYTE_08bits key[], short keybytes)
{
short i; /* FIXME: unsigned int, char? */
short j; /* FIXME: unsigned int, char? */
UWORD_32bits data;
UWORD_32bits datal;
UWORD_32bits datar;
union aword temp;
/* fprintf (stderr, "0x%x 0x%x ", bf_P[0], bf_P[1]); /* DEBUG */
/* fprintf (stderr, "%d %d\n", bf_P[0], bf_P[1]); /* DEBUG */
j = 0;
for (i = 0; i < bf_N + 2; ++i) {
temp.word = 0;
temp.w.byte0 = key[j];
temp.w.byte1 = key[(j+1)%keybytes];
temp.w.byte2 = key[(j+2)%keybytes];
temp.w.byte3 = key[(j+3)%keybytes];
data = temp.word;
bf_P[i] = bf_P[i] ^ data;
j = (j + 4) % keybytes;
}
datal = 0x00000000;
datar = 0x00000000;
for (i = 0; i < bf_N + 2; i += 2) {
Blowfish_encipher(&datal, &datar);
bf_P[i] = datal;
bf_P[i + 1] = datar;
}
for (i = 0; i < 4; ++i) {
for (j = 0; j < 256; j += 2) {
Blowfish_encipher(&datal, &datar);
bf_S[i][j] = datal;
bf_S[i][j + 1] = datar;
}
}
return 0;
}
=============== bf_tab.h ==============
/* bf_tab.h: Blowfish P-box and S-box tables */
static UWORD_32bits bf_P[bf_N + 2] = {
0x243f6a88, 0x85a308d3, 0x13198a2e, 0x03707344,
0xa4093822, 0x299f31d0, 0x082efa98, 0xec4e6c89,
0x452821e6, 0x38d01377, 0xbe5466cf, 0x34e90c6c,
0xc0ac29b7, 0xc97c50dd, 0x3f84d5b5, 0xb5470917,
0x9216d5d9, 0x8979fb1b,
};
static UWORD_32bits bf_S[4][256] = {
0xd1310ba6, 0x98dfb5ac, 0x2ffd72db, 0xd01adfb7,
0xb8e1afed, 0x6a267e96, 0xba7c9045, 0xf12c7f99,
0x24a19947, 0xb3916cf7, 0x0801f2e2, 0x858efc16,
0x636920d8, 0x71574e69, 0xa458fea3, 0xf4933d7e,
0x0d95748f, 0x728eb658, 0x718bcd58, 0x82154aee,
0x7b54a41d, 0xc25a59b5, 0x9c30d539, 0x2af26013,
0xc5d1b023, 0x286085f0, 0xca417918, 0xb8db38ef,
0x8e79dcb0, 0x603a180e, 0x6c9e0e8b, 0xb01e8a3e,
0xd71577c1, 0xbd314b27, 0x78af2fda, 0x55605c60,
0xe65525f3, 0xaa55ab94, 0x57489862, 0x63e81440,
0x55ca396a, 0x2aab10b6, 0xb4cc5c34, 0x1141e8ce,
0xa15486af, 0x7c72e993, 0xb3ee1411, 0x636fbc2a,
0x2ba9c55d, 0x741831f6, 0xce5c3e16, 0x9b87931e,
0xafd6ba33, 0x6c24cf5c, 0x7a325381, 0x28958677,
0x3b8f4898, 0x6b4bb9af, 0xc4bfe81b, 0x66282193,
0x61d809cc, 0xfb21a991, 0x487cac60, 0x5dec8032,
0xef845d5d, 0xe98575b1, 0xdc262302, 0xeb651b88,
0x23893e81, 0xd396acc5, 0x0f6d6ff3, 0x83f44239,
0x2e0b4482, 0xa4842004, 0x69c8f04a, 0x9e1f9b5e,
0x21c66842, 0xf6e96c9a, 0x670c9c61, 0xabd388f0,
0x6a51a0d2, 0xd8542f68, 0x960fa728, 0xab5133a3,
0x6eef0b6c, 0x137a3be4, 0xba3bf050, 0x7efb2a98,
0xa1f1651d, 0x39af0176, 0x66ca593e, 0x82430e88,
0x8cee8619, 0x456f9fb4, 0x7d84a5c3, 0x3b8b5ebe,
0xe06f75d8, 0x85c12073, 0x401a449f, 0x56c16aa6,
0x4ed3aa62, 0x363f7706, 0x1bfedf72, 0x429b023d,
0x37d0d724, 0xd00a1248, 0xdb0fead3, 0x49f1c09b,
0x075372c9, 0x80991b7b, 0x25d479d8, 0xf6e8def7,
0xe3fe501a, 0xb6794c3b, 0x976ce0bd, 0x04c006ba,
0xc1a94fb6, 0x409f60c4, 0x5e5c9ec2, 0x196a2463,
0x68fb6faf, 0x3e6c53b5, 0x1339b2eb, 0x3b52ec6f,
0x6dfc511f, 0x9b30952c, 0xcc814544, 0xaf5ebd09,
0xbee3d004, 0xde334afd, 0x660f2807, 0x192e4bb3,
0xc0cba857, 0x45c8740f, 0xd20b5f39, 0xb9d3fbdb,
0x5579c0bd, 0x1a60320a, 0xd6a100c6, 0x402c7279,
0x679f25fe, 0xfb1fa3cc, 0x8ea5e9f8, 0xdb3222f8,
0x3c7516df, 0xfd616b15, 0x2f501ec8, 0xad0552ab,
0x323db5fa, 0xfd238760, 0x53317b48, 0x3e00df82,
0x9e5c57bb, 0xca6f8ca0, 0x1a87562e, 0xdf1769db,
0xd542a8f6, 0x287effc3, 0xac6732c6, 0x8c4f5573,
0x695b27b0, 0xbbca58c8, 0xe1ffa35d, 0xb8f011a0,
0x10fa3d98, 0xfd2183b8, 0x4afcb56c, 0x2dd1d35b,
0x9a53e479, 0xb6f84565, 0xd28e49bc, 0x4bfb9790,
0xe1ddf2da, 0xa4cb7e33, 0x62fb1341, 0xcee4c6e8,
0xef20cada, 0x36774c01, 0xd07e9efe, 0x2bf11fb4,
0x95dbda4d, 0xae909198, 0xeaad8e71, 0x6b93d5a0,
0xd08ed1d0, 0xafc725e0, 0x8e3c5b2f, 0x8e7594b7,
0x8ff6e2fb, 0xf2122b64, 0x8888b812, 0x900df01c,
0x4fad5ea0, 0x688fc31c, 0xd1cff191, 0xb3a8c1ad,
0x2f2f2218, 0xbe0e1777, 0xea752dfe, 0x8b021fa1,
0xe5a0cc0f, 0xb56f74e8, 0x18acf3d6, 0xce89e299,
0xb4a84fe0, 0xfd13e0b7, 0x7cc43b81, 0xd2ada8d9,
0x165fa266, 0x80957705, 0x93cc7314, 0x211a1477,
0xe6ad2065, 0x77b5fa86, 0xc75442f5, 0xfb9d35cf,
0xebcdaf0c, 0x7b3e89a0, 0xd6411bd3, 0xae1e7e49,
0x00250e2d, 0x2071b35e, 0x226800bb, 0x57b8e0af,
0x2464369b, 0xf009b91e, 0x5563911d, 0x59dfa6aa,
0x78c14389, 0xd95a537f, 0x207d5ba2, 0x02e5b9c5,
0x83260376, 0x6295cfa9, 0x11c81968, 0x4e734a41,
0xb3472dca, 0x7b14a94a, 0x1b510052, 0x9a532915,
0xd60f573f, 0xbc9bc6e4, 0x2b60a476, 0x81e67400,
0x08ba6fb5, 0x571be91f, 0xf296ec6b, 0x2a0dd915,
0xb6636521, 0xe7b9f9b6, 0xff34052e, 0xc5855664,
0x53b02d5d, 0xa99f8fa1, 0x08ba4799, 0x6e85076a,
0x4b7a70e9, 0xb5b32944, 0xdb75092e, 0xc4192623,
0xad6ea6b0, 0x49a7df7d, 0x9cee60b8, 0x8fedb266,
0xecaa8c71, 0x699a17ff, 0x5664526c, 0xc2b19ee1,
0x193602a5, 0x75094c29, 0xa0591340, 0xe4183a3e,
0x3f54989a, 0x5b429d65, 0x6b8fe4d6, 0x99f73fd6,
0xa1d29c07, 0xefe830f5, 0x4d2d38e6, 0xf0255dc1,
0x4cdd2086, 0x8470eb26, 0x6382e9c6, 0x021ecc5e,
0x09686b3f, 0x3ebaefc9, 0x3c971814, 0x6b6a70a1,
0x687f3584, 0x52a0e286, 0xb79c5305, 0xaa500737,
0x3e07841c, 0x7fdeae5c, 0x8e7d44ec, 0x5716f2b8,
0xb03ada37, 0xf0500c0d, 0xf01c1f04, 0x0200b3ff,
0xae0cf51a, 0x3cb574b2, 0x25837a58, 0xdc0921bd,
0xd19113f9, 0x7ca92ff6, 0x94324773, 0x22f54701,
0x3ae5e581, 0x37c2dadc, 0xc8b57634, 0x9af3dda7,
0xa9446146, 0x0fd0030e, 0xecc8c73e, 0xa4751e41,
0xe238cd99, 0x3bea0e2f, 0x3280bba1, 0x183eb331,
0x4e548b38, 0x4f6db908, 0x6f420d03, 0xf60a04bf,
0x2cb81290, 0x24977c79, 0x5679b072, 0xbcaf89af,
0xde9a771f, 0xd9930810, 0xb38bae12, 0xdccf3f2e,
0x5512721f, 0x2e6b7124, 0x501adde6, 0x9f84cd87,
0x7a584718, 0x7408da17, 0xbc9f9abc, 0xe94b7d8c,
0xec7aec3a, 0xdb851dfa, 0x63094366, 0xc464c3d2,
0xef1c1847, 0x3215d908, 0xdd433b37, 0x24c2ba16,
0x12a14d43, 0x2a65c451, 0x50940002, 0x133ae4dd,
0x71dff89e, 0x10314e55, 0x81ac77d6, 0x5f11199b,
0x043556f1, 0xd7a3c76b, 0x3c11183b, 0x5924a509,
0xf28fe6ed, 0x97f1fbfa, 0x9ebabf2c, 0x1e153c6e,
0x86e34570, 0xeae96fb1, 0x860e5e0a, 0x5a3e2ab3,
0x771fe71c, 0x4e3d06fa, 0x2965dcb9, 0x99e71d0f,
0x803e89d6, 0x5266c825, 0x2e4cc978, 0x9c10b36a,
0xc6150eba, 0x94e2ea78, 0xa5fc3c53, 0x1e0a2df4,
0xf2f74ea7, 0x361d2b3d, 0x1939260f, 0x19c27960,
0x5223a708, 0xf71312b6, 0xebadfe6e, 0xeac31f66,
0xe3bc4595, 0xa67bc883, 0xb17f37d1, 0x018cff28,
0xc332ddef, 0xbe6c5aa5, 0x65582185, 0x68ab9802,
0xeecea50f, 0xdb2f953b, 0x2aef7dad, 0x5b6e2f84,
0x1521b628, 0x29076170, 0xecdd4775, 0x619f1510,
0x13cca830, 0xeb61bd96, 0x0334fe1e, 0xaa0363cf,
0xb5735c90, 0x4c70a239, 0xd59e9e0b, 0xcbaade14,
0xeecc86bc, 0x60622ca7, 0x9cab5cab, 0xb2f3846e,
0x648b1eaf, 0x19bdf0ca, 0xa02369b9, 0x655abb50,
0x40685a32, 0x3c2ab4b3, 0x319ee9d5, 0xc021b8f7,
0x9b540b19, 0x875fa099, 0x95f7997e, 0x623d7da8,
0xf837889a, 0x97e32d77, 0x11ed935f, 0x16681281,
0x0e358829, 0xc7e61fd6, 0x96dedfa1, 0x7858ba99,
0x57f584a5, 0x1b227263, 0x9b83c3ff, 0x1ac24696,
0xcdb30aeb, 0x532e3054, 0x8fd948e4, 0x6dbc3128,
0x58ebf2ef, 0x34c6ffea, 0xfe28ed61, 0xee7c3c73,
0x5d4a14d9, 0xe864b7e3, 0x42105d14, 0x203e13e0,
0x45eee2b6, 0xa3aaabea, 0xdb6c4f15, 0xfacb4fd0,
0xc742f442, 0xef6abbb5, 0x654f3b1d, 0x41cd2105,
0xd81e799e, 0x86854dc7, 0xe44b476a, 0x3d816250,
0xcf62a1f2, 0x5b8d2646, 0xfc8883a0, 0xc1c7b6a3,
0x7f1524c3, 0x69cb7492, 0x47848a0b, 0x5692b285,
0x095bbf00, 0xad19489d, 0x1462b174, 0x23820e00,
0x58428d2a, 0x0c55f5ea, 0x1dadf43e, 0x233f7061,
0x3372f092, 0x8d937e41, 0xd65fecf1, 0x6c223bdb,
0x7cde3759, 0xcbee7460, 0x4085f2a7, 0xce77326e,
0xa6078084, 0x19f8509e, 0xe8efd855, 0x61d99735,
0xa969a7aa, 0xc50c06c2, 0x5a04abfc, 0x800bcadc,
0x9e447a2e, 0xc3453484, 0xfdd56705, 0x0e1e9ec9,
0xdb73dbd3, 0x105588cd, 0x675fda79, 0xe3674340,
0xc5c43465, 0x713e38d8, 0x3d28f89e, 0xf16dff20,
0x153e21e7, 0x8fb03d4a, 0xe6e39f2b, 0xdb83adf7,
0xe93d5a68, 0x948140f7, 0xf64c261c, 0x94692934,
0x411520f7, 0x7602d4f7, 0xbcf46b2e, 0xd4a20068,
0xd4082471, 0x3320f46a, 0x43b7d4b7, 0x500061af,
0x1e39f62e, 0x97244546, 0x14214f74, 0xbf8b8840,
0x4d95fc1d, 0x96b591af, 0x70f4ddd3, 0x66a02f45,
0xbfbc09ec, 0x03bd9785, 0x7fac6dd0, 0x31cb8504,
0x96eb27b3, 0x55fd3941, 0xda2547e6, 0xabca0a9a,
0x28507825, 0x530429f4, 0x0a2c86da, 0xe9b66dfb,
0x68dc1462, 0xd7486900, 0x680ec0a4, 0x27a18dee,
0x4f3ffea2, 0xe887ad8c, 0xb58ce006, 0x7af4d6b6,
0xaace1e7c, 0xd3375fec, 0xce78a399, 0x406b2a42,
0x20fe9e35, 0xd9f385b9, 0xee39d7ab, 0x3b124e8b,
0x1dc9faf7, 0x4b6d1856, 0x26a36631, 0xeae397b2,
0x3a6efa74, 0xdd5b4332, 0x6841e7f7, 0xca7820fb,
0xfb0af54e, 0xd8feb397, 0x454056ac, 0xba489527,
0x55533a3a, 0x20838d87, 0xfe6ba9b7, 0xd096954b,
0x55a867bc, 0xa1159a58, 0xcca92963, 0x99e1db33,
0xa62a4a56, 0x3f3125f9, 0x5ef47e1c, 0x9029317c,
0xfdf8e802, 0x04272f70, 0x80bb155c, 0x05282ce3,
0x95c11548, 0xe4c66d22, 0x48c1133f, 0xc70f86dc,
0x07f9c9ee, 0x41041f0f, 0x404779a4, 0x5d886e17,
0x325f51eb, 0xd59bc0d1, 0xf2bcc18f, 0x41113564,
0x257b7834, 0x602a9c60, 0xdff8e8a3, 0x1f636c1b,
0x0e12b4c2, 0x02e1329e, 0xaf664fd1, 0xcad18115,
0x6b2395e0, 0x333e92e1, 0x3b240b62, 0xeebeb922,
0x85b2a20e, 0xe6ba0d99, 0xde720c8c, 0x2da2f728,
0xd0127845, 0x95b794fd, 0x647d0862, 0xe7ccf5f0,
0x5449a36f, 0x877d48fa, 0xc39dfd27, 0xf33e8d1e,
0x0a476341, 0x992eff74, 0x3a6f6eab, 0xf4f8fd37,
0xa812dc60, 0xa1ebddf8, 0x991be14c, 0xdb6e6b0d,
0xc67b5510, 0x6d672c37, 0x2765d43b, 0xdcd0e804,
0xf1290dc7, 0xcc00ffa3, 0xb5390f92, 0x690fed0b,
0x667b9ffb, 0xcedb7d9c, 0xa091cf0b, 0xd9155ea3,
0xbb132f88, 0x515bad24, 0x7b9479bf, 0x763bd6eb,
0x37392eb3, 0xcc115979, 0x8026e297, 0xf42e312d,
0x6842ada7, 0xc66a2b3b, 0x12754ccc, 0x782ef11c,
0x6a124237, 0xb79251e7, 0x06a1bbe6, 0x4bfb6350,
0x1a6b1018, 0x11caedfa, 0x3d25bdd8, 0xe2e1c3c9,
0x44421659, 0x0a121386, 0xd90cec6e, 0xd5abea2a,
0x64af674e, 0xda86a85f, 0xbebfe988, 0x64e4c3fe,
0x9dbc8057, 0xf0f7c086, 0x60787bf8, 0x6003604d,
0xd1fd8346, 0xf6381fb0, 0x7745ae04, 0xd736fccc,
0x83426b33, 0xf01eab71, 0xb0804187, 0x3c005e5f,
0x77a057be, 0xbde8ae24, 0x55464299, 0xbf582e61,
0x4e58f48f, 0xf2ddfda2, 0xf474ef38, 0x8789bdc2,
0x5366f9c3, 0xc8b38e74, 0xb475f255, 0x46fcd9b9,
0x7aeb2661, 0x8b1ddf84, 0x846a0e79, 0x915f95e2,
0x466e598e, 0x20b45770, 0x8cd55591, 0xc902de4c,
0xb90bace1, 0xbb8205d0, 0x11a86248, 0x7574a99e,
0xb77f19b6, 0xe0a9dc09, 0x662d09a1, 0xc4324633,
0xe85a1f02, 0x09f0be8c, 0x4a99a025, 0x1d6efe10,
0x1ab93d1d, 0x0ba5a4df, 0xa186f20f, 0x2868f169,
0xdcb7da83, 0x573906fe, 0xa1e2ce9b, 0x4fcd7f52,
0x50115e01, 0xa70683fa, 0xa002b5c4, 0x0de6d027,
0x9af88c27, 0x773f8641, 0xc3604c06, 0x61a806b5,
0xf0177a28, 0xc0f586e0, 0x006058aa, 0x30dc7d62,
0x11e69ed7, 0x2338ea63, 0x53c2dd94, 0xc2c21634,
0xbbcbee56, 0x90bcb6de, 0xebfc7da1, 0xce591d76,
0x6f05e409, 0x4b7c0188, 0x39720a3d, 0x7c927c24,
0x86e3725f, 0x724d9db9, 0x1ac15bb4, 0xd39eb8fc,
0xed545578, 0x08fca5b5, 0xd83d7cd3, 0x4dad0fc4,
0x1e50ef5e, 0xb161e6f8, 0xa28514d9, 0x6c51133c,
0x6fd5c7e7, 0x56e14ec4, 0x362abfce, 0xddc6c837,
0xd79a3234, 0x92638212, 0x670efa8e, 0x406000e0,
0x3a39ce37, 0xd3faf5cf, 0xabc27737, 0x5ac52d1b,
0x5cb0679e, 0x4fa33742, 0xd3822740, 0x99bc9bbe,
0xd5118e9d, 0xbf0f7315, 0xd62d1c7e, 0xc700c47b,
0xb78c1b6b, 0x21a19045, 0xb26eb1be, 0x6a366eb4,
0x5748ab2f, 0xbc946e79, 0xc6a376d2, 0x6549c2c8,
0x530ff8ee, 0x468dde7d, 0xd5730a1d, 0x4cd04dc6,
0x2939bbdb, 0xa9ba4650, 0xac9526e8, 0xbe5ee304,
0xa1fad5f0, 0x6a2d519a, 0x63ef8ce2, 0x9a86ee22,
0xc089c2b8, 0x43242ef6, 0xa51e03aa, 0x9cf2d0a4,
0x83c061ba, 0x9be96a4d, 0x8fe51550, 0xba645bd6,
0x2826a2f9, 0xa73a3ae1, 0x4ba99586, 0xef5562e9,
0xc72fefd3, 0xf752f7da, 0x3f046f69, 0x77fa0a59,
0x80e4a915, 0x87b08601, 0x9b09e6ad, 0x3b3ee593,
0xe990fd5a, 0x9e34d797, 0x2cf0b7d9, 0x022b8b51,
0x96d5ac3a, 0x017da67d, 0xd1cf3ed6, 0x7c7d2d28,
0x1f9f25cf, 0xadf2b89b, 0x5ad6b472, 0x5a88f54c,
0xe029ac71, 0xe019a5e6, 0x47b0acfd, 0xed93fa9b,
0xe8d3c48d, 0x283b57cc, 0xf8d56629, 0x79132e28,
0x785f0191, 0xed756055, 0xf7960e44, 0xe3d35e8c,
0x15056dd4, 0x88f46dba, 0x03a16125, 0x0564f0bd,
0xc3eb9e15, 0x3c9057a2, 0x97271aec, 0xa93a072a,
0x1b3f6d9b, 0x1e6321f5, 0xf59c66fb, 0x26dcf319,
0x7533d928, 0xb155fdf5, 0x03563482, 0x8aba3cbb,
0x28517711, 0xc20ad9f8, 0xabcc5167, 0xccad925f,
0x4de81751, 0x3830dc8e, 0x379d5862, 0x9320f991,
0xea7a90c2, 0xfb3e7bce, 0x5121ce64, 0x774fbe32,
0xa8b6e37e, 0xc3293d46, 0x48de5369, 0x6413e680,
0xa2ae0810, 0xdd6db224, 0x69852dfd, 0x09072166,
0xb39a460a, 0x6445c0dd, 0x586cdecf, 0x1c20c8ae,
0x5bbef7dd, 0x1b588d40, 0xccd2017f, 0x6bb4e3bb,
0xdda26a7e, 0x3a59ff45, 0x3e350a44, 0xbcb4cdd5,
0x72eacea8, 0xfa6484bb, 0x8d6612ae, 0xbf3c6f47,
0xd29be463, 0x542f5d9e, 0xaec2771b, 0xf64e6370,
0x740e0d8d, 0xe75b1357, 0xf8721671, 0xaf537d5d,
0x4040cb08, 0x4eb4e2cc, 0x34d2466a, 0x0115af84,
0xe1b00428, 0x95983a1d, 0x06b89fb4, 0xce6ea048,
0x6f3f3b82, 0x3520ab82, 0x011a1d4b, 0x277227f8,
0x611560b1, 0xe7933fdc, 0xbb3a792b, 0x344525bd,
0xa08839e1, 0x51ce794b, 0x2f32c9b7, 0xa01fbac9,
0xe01cc87e, 0xbcc7d1f6, 0xcf0111c3, 0xa1e8aac7,
0x1a908749, 0xd44fbd9a, 0xd0dadecb, 0xd50ada38,
0x0339c32a, 0xc6913667, 0x8df9317c, 0xe0b12b4f,
0xf79e59b7, 0x43f5bb3a, 0xf2d519ff, 0x27d9459c,
0xbf97222c, 0x15e6fc2a, 0x0f91fc71, 0x9b941525,
0xfae59361, 0xceb69ceb, 0xc2a86459, 0x12baa8d1,
0xb6c1075e, 0xe3056a0c, 0x10d25065, 0xcb03a442,
0xe0ec6e0e, 0x1698db3b, 0x4c98a0be, 0x3278e964,
0x9f1f9532, 0xe0d392df, 0xd3a0342b, 0x8971f21e,
0x1b0a7441, 0x4ba3348c, 0xc5be7120, 0xc37632d8,
0xdf359f8d, 0x9b992f2e, 0xe60b6f47, 0x0fe3f11d,
0xe54cda54, 0x1edad891, 0xce6279cf, 0xcd3e7e6f,
0x1618b166, 0xfd2c1d05, 0x848fd2c5, 0xf6fb2299,
0xf523f357, 0xa6327623, 0x93a83531, 0x56cccd02,
0xacf08162, 0x5a75ebb5, 0x6e163697, 0x88d273cc,
0xde966292, 0x81b949d0, 0x4c50901b, 0x71c65614,
0xe6c6c7bd, 0x327a140a, 0x45e1d006, 0xc3f27b9a,
0xc9aa53fd, 0x62a80f00, 0xbb25bfe2, 0x35bdd2f6,
0x71126905, 0xb2040222, 0xb6cbcf7c, 0xcd769c2b,
0x53113ec0, 0x1640e3d3, 0x38abbd60, 0x2547adf0,
0xba38209c, 0xf746ce76, 0x77afa1c5, 0x20756060,
0x85cbfe4e, 0x8ae88dd8, 0x7aaaf9b0, 0x4cf9aa7e,
0x1948c25c, 0x02fb8a8c, 0x01c36ae4, 0xd6ebe1f9,
0x90d4f869, 0xa65cdea0, 0x3f09252d, 0xc208e69f,
0xb74e6132, 0xce77e25b, 0x578fdfe3, 0x3ac372e6,
};
Listing Three
************** TEST VECTORS ***********************************
This is a test vector.
Plaintext is "BLOWFISH".
The key is "abcdefghijklmnopqrstuvwxyz".
#define PL 0x424c4f57l
#define PR 0x46495348l
#define CL 0x324ed0fel
#define CR 0xf413a203l
static char keey[]="abcdefghijklmnopqrstuvwxyz";
This is another test vector.
The key is "Who is John Galt?"
#define PL 0xfedcba98l
#define PR 0x76543210l
#define CL 0xcc91732bl
#define CR 0x8022f684l
