How to resolve the algorithm MD5/Implementation step by step in the Lua programming language
How to resolve the algorithm MD5/Implementation step by step in the Lua programming language
Table of Contents
Problem Statement
The purpose of this task to code and validate an implementation of the MD5 Message Digest Algorithm by coding the algorithm directly (not using a call to a built-in or external hashing library). For details of the algorithm refer to MD5 on Wikipedia or the MD5 definition in IETF RFC (1321).
The solutions shown here will provide practical illustrations of bit manipulation, unsigned integers, working with little-endian data. Additionally, the task requires an attention to details such as boundary conditions since being out by even 1 bit will produce dramatically different results. Subtle implementation bugs can result in some hashes being correct while others are wrong. Not only is it critical to get the individual sub functions working correctly, even small errors in padding, endianness, or data layout will result in failure. In addition, intermediate outputs to aid in developing an implementation can be found here. The MD5 Message-Digest Algorithm was developed by RSA Data Security, Inc. in 1991.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm MD5/Implementation step by step in the Lua programming language
Source code in the lua programming language
-- shift amounts
local s = {
7, 12, 17, 22, 7, 12, 17, 22, 7, 12, 17, 22, 7, 12, 17, 22,
5, 9, 14, 20, 5, 9, 14, 20, 5, 9, 14, 20, 5, 9, 14, 20,
4, 11, 16, 23, 4, 11, 16, 23, 4, 11, 16, 23, 4, 11, 16, 23,
6, 10, 15, 21, 6, 10, 15, 21, 6, 10, 15, 21, 6, 10, 15, 21
}
-- constants
local K = {
0xd76aa478, 0xe8c7b756, 0x242070db, 0xc1bdceee,
0xf57c0faf, 0x4787c62a, 0xa8304613, 0xfd469501,
0x698098d8, 0x8b44f7af, 0xffff5bb1, 0x895cd7be,
0x6b901122, 0xfd987193, 0xa679438e, 0x49b40821,
0xf61e2562, 0xc040b340, 0x265e5a51, 0xe9b6c7aa,
0xd62f105d, 0x02441453, 0xd8a1e681, 0xe7d3fbc8,
0x21e1cde6, 0xc33707d6, 0xf4d50d87, 0x455a14ed,
0xa9e3e905, 0xfcefa3f8, 0x676f02d9, 0x8d2a4c8a,
0xfffa3942, 0x8771f681, 0x6d9d6122, 0xfde5380c,
0xa4beea44, 0x4bdecfa9, 0xf6bb4b60, 0xbebfbc70,
0x289b7ec6, 0xeaa127fa, 0xd4ef3085, 0x04881d05,
0xd9d4d039, 0xe6db99e5, 0x1fa27cf8, 0xc4ac5665,
0xf4292244, 0x432aff97, 0xab9423a7, 0xfc93a039,
0x655b59c3, 0x8f0ccc92, 0xffeff47d, 0x85845dd1,
0x6fa87e4f, 0xfe2ce6e0, 0xa3014314, 0x4e0811a1,
0xf7537e82, 0xbd3af235, 0x2ad7d2bb, 0xeb86d391,
}
local function leftRotate(x, c)
return (x << c) | (x >> (32-c))
end
local function getInt(byteArray, n)
return (byteArray[n+3]<<24) + (byteArray[n+2]<<16) + (byteArray[n+1]<<8) + byteArray[n]
end
--- converts 32bit integer n to a little endian hex representation
-- @tparam integer n
local function lE(n)
local s = ''
for i = 0, 3 do
s = ('%s%02x'):format(s, (n>>(i*8))&0xff)
end
return s
end
--- md5
-- @tparam string message
local function md5(message)
local a0, b0, c0, d0 = 0x67452301, 0xefcdab89, 0x98badcfe, 0x10325476
local bytes = {message:byte(1, -1)}
-- insert 1 bit (and the rest of the byte)
table.insert(bytes, 0x80)
-- pad with zeros until we have *just enough*
local p = #bytes%64
if p > 56 then
p = p - 64
end
for _ = p+1, 56 do
table.insert(bytes, 0)
end
-- insert the initial message length, in little-endian
local len = ((#message)<<3)&0xffffffffffffffff -- length in bits
for i = 0, 7 do
table.insert(bytes, (len>>(i*8))&0xff)
end
for i = 0, #bytes//64-1 do
local a, b, c, d = a0, b0, c0, d0
for j = 0, 63 do
local F, g
-- permutate
if j <= 15 then
F = (b & c) | (~b & d)
g = j
elseif j <= 31 then
F = (d & b) | (~d & c)
g = (5*j + 1) & 15
elseif j <= 47 then
F = b ~ c ~ d
g = (3*j + 5) & 15
else
F = c ~ (b | ~d)
g = (7*j) & 15
end
F = (F + a + K[j+1] + getInt(bytes, i*64+g*4+1))&0xffffffff
-- shuffle
a = d
d = c
c = b
b = (b + leftRotate(F, s[j+1]))&0xffffffff
end
-- update internal state
a0 = (a0 + a)&0xffffffff
b0 = (b0 + b)&0xffffffff
c0 = (c0 + c)&0xffffffff
d0 = (d0 + d)&0xffffffff
end
-- lua doesn't support any other byte strings. Could convert to a wacky string but this is more printable.
return lE(a0)..lE(b0)..lE(c0)..lE(d0)
end
local demo = {
[""] = "d41d8cd98f00b204e9800998ecf8427e",
["a"] = "0cc175b9c0f1b6a831c399e269772661",
["abc"] = "900150983cd24fb0d6963f7d28e17f72",
["message digest"] = "f96b697d7cb7938d525a2f31aaf161d0",
["abcdefghijklmnopqrstuvwxyz"] = "c3fcd3d76192e4007dfb496cca67e13b",
["ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"] = "d174ab98d277d9f5a5611c2c9f419d9f",
["12345678901234567890123456789012345678901234567890123456789012345678901234567890"] = "57edf4a22be3c955ac49da2e2107b67a",
}
for k, v in pairs(demo) do
local m = md5(k)
print(("%s [%2s] <== \"%s\""):format(m, m==v and 'OK' or '', k))
end
f96b697d7cb7938d525a2f31aaf161d0 [OK] <== "message digest"
d174ab98d277d9f5a5611c2c9f419d9f [OK] <== "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
c3fcd3d76192e4007dfb496cca67e13b [OK] <== "abcdefghijklmnopqrstuvwxyz"
d41d8cd98f00b204e9800998ecf8427e [OK] <== ""
900150983cd24fb0d6963f7d28e17f72 [OK] <== "abc"
57edf4a22be3c955ac49da2e2107b67a [OK] <== "12345678901234567890123456789012345678901234567890123456789012345678901234567890"
0cc175b9c0f1b6a831c399e269772661 [OK] <== "a"
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