Stupid Compiler

[SHA, Right] The Algorithm

April 29th, 2008

SHA-0 (or something more clever here)

SHA-0 was specified in the first Secure Hash Standard (SHS) (current draft) issued in 1993. Two years later, NIST issued a small change to the SHA-0 expansion function; the new function is known as SHA-1. There was no justification for the updated function, but it is assumed the NSA found a collision attack.

Structure of the Hash Function

The SHA hash function works on blocks of 512 bits and outputs a hash value of 160 bits. The function proceeds as follows:

Pad the message by adding a single 1 bit and then a string of 0 bits suffixed with the length (in bits) of the message without padding (represented as a 64-bit big endian integer). The number of zero bits is chosen as the minimum number to evenly pad the message to the next 512 bit boundary.

The five state variables are initialized to fixed constants:

A = 0x67452301
B = 0xefcdab89
C = 0x98badcfe
D = 0x10325476
E = 0xc3d2e1f0

For each message block, call the compression function using the current state, A through E, and the current block. The compression function will return the new state. Pseudocode:
```
state[i + 1] = compress(current_block, state[i])
```
The output of the function is the concatentation of the state variables. Pseudocode:
```
return A ++ B ++ C ++ D ++ E
```

The Compression Function

The compression function is where all the “good stuff” happens.

$compress(M, h)$ is computed as:

Divide the 512-bit message block, M, into 16 32-bit words $W_0, W_1, \ldots, W_15$ .
Expand the 16 words into 80 words using the expansion function defined by the recurrence relation:
$W_i = W_{i-3} \oplus W_{i-8} \oplus W_{i-14} \oplus W_{i-16}$
Initialize the state variables, $A, B, C, D, E$ , using $h$
For each word in W, $W_i$ , compute the new state as:
$\begin{align*}A_{i+1} &= (W_i + A_i \lll 5 + f_i(B_i, C_i, D_i) + E_i + K_i) \mod 2^{32}\\B_{i+1} &= A_i\\C_{i+1} &= B_i \lll 30\\D_{i+1} &= C_i\\E_{i+1} &= D_i\end{align*}$
The function $f_i(B,C,D)$ is defined below.
The output is given as:
$(A_0 + A_80, B_0 + B_80, C_0 + C_80, D_0 + D_80, E_0 + E_80)$

The function "f_i(X,Y,Z)" and "K_i" are defined as:
  If i is in the range:
    [ 0, 20)   "IF"   f_i = (X & Y) | (X & Z)             K_i = 0x5A827999
    [20, 39)   "XOR"  f_i = X ^ Y ^ Z                     K_i = 0x6ED9EBA1
    [40, 59)   "MAJ"  f_i = (X & Y) | (X & Z) | (Y & Z)   K_i = 0x8F1BBCDC
    [60, 79)   "XOR"  f_i = X ^ Y ^ Z                     K_i = 0xCA62C1D6

NOTE: Add a link to the python implementation.

This entry was posted on Tuesday, April 29th, 2008 at 5:42 am and is filed under Uncategorized.

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rick Says:
January 26th, 2015 at 10:46 am
sed@certainly.bulletind” rel=”nofollow”>.…

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jeremiah Says:
January 26th, 2015 at 11:47 am
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Ian Says:
January 26th, 2015 at 7:57 pm
miscellany@favors.matson” rel=”nofollow”>.…

ñïñ çà èíôó….
lester Says:
January 28th, 2015 at 1:55 am
bass@nicholson.spanning” rel=”nofollow”>.…

ñýíêñ çà èíôó!…
Brandon Says:
January 28th, 2015 at 4:53 am
kicks@amici.meanin” rel=”nofollow”>.…

ñïàñèáî!…
Clayton Says:
January 28th, 2015 at 2:09 pm
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thank you….
Glen Says:
January 28th, 2015 at 5:28 pm
estellas@covenants.teacher” rel=”nofollow”>.…

ñïñ çà èíôó!…
Morris Says:
January 28th, 2015 at 5:59 pm
sharpest@alphonse.animation” rel=”nofollow”>.…

áëàãîäàðþ!!…
brad Says:
January 29th, 2015 at 1:40 am
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Willie Says:
January 29th, 2015 at 10:37 pm
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clayton Says:
January 30th, 2015 at 6:38 am
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Darryl Says:
January 30th, 2015 at 7:06 am
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Antonio Says:
January 30th, 2015 at 7:38 am
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Hector Says:
January 30th, 2015 at 10:28 pm
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ñïàñèáî çà èíôó….
rick Says:
January 31st, 2015 at 6:38 am
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Nicholas Says:
January 31st, 2015 at 7:10 am
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ñýíêñ çà èíôó!!…
adam Says:
January 31st, 2015 at 8:29 am
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tnx for info!!…
Matt Says:
February 1st, 2015 at 12:48 am
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Marcus Says:
February 1st, 2015 at 11:26 pm
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harry Says:
February 2nd, 2015 at 12:01 am
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ñïñ!!…
Daniel Says:
February 2nd, 2015 at 4:32 am
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benjamin Says:
February 2nd, 2015 at 2:38 pm
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ñïñ!!…
chester Says:
February 2nd, 2015 at 4:24 pm
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jim Says:
February 2nd, 2015 at 4:59 pm
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ian Says:
February 2nd, 2015 at 5:33 pm
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ñýíêñ çà èíôó!!…
jack Says:
February 2nd, 2015 at 6:09 pm
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Christopher Says:
February 2nd, 2015 at 11:56 pm
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ñïàñèáî çà èíôó!…
Elmer Says:
February 3rd, 2015 at 12:14 am
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thank you….
ian Says:
February 3rd, 2015 at 10:17 pm
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áëàãîäàðåí!…
dwayne Says:
February 4th, 2015 at 11:53 am
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Joshua Says:
February 5th, 2015 at 4:14 pm
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alfredo Says:
February 5th, 2015 at 4:44 pm
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Daryl Says:
February 5th, 2015 at 5:19 pm
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Ken Says:
February 5th, 2015 at 5:51 pm
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Antonio Says:
February 6th, 2015 at 2:00 am
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Austin Says:
February 6th, 2015 at 11:31 am
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tnx for info!…
Wallace Says:
February 6th, 2015 at 12:04 pm
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ñïñ çà èíôó!!…
raymond Says:
February 6th, 2015 at 8:48 pm
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ñýíêñ çà èíôó!…
Willie Says:
February 7th, 2015 at 5:59 am
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ñïñ çà èíôó!!…
cory Says:
February 7th, 2015 at 11:38 pm
concert@shay.establishing” rel=”nofollow”>.…

ñïñ!!…
Daniel Says:
February 8th, 2015 at 1:11 am
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ñïñ çà èíôó!…
dan Says:
February 8th, 2015 at 1:41 am
monastic@clucked.sharpness” rel=”nofollow”>.…

ñïñ!…
Keith Says:
February 8th, 2015 at 6:59 am
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jonathan Says:
February 9th, 2015 at 6:37 am
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freddie Says:
February 9th, 2015 at 9:33 am
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ñýíêñ çà èíôó….
Ramon Says:
February 9th, 2015 at 3:52 pm
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wendell Says:
February 9th, 2015 at 4:29 pm
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áëàãîäàðñòâóþ!…
guy Says:
February 9th, 2015 at 5:58 pm
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thank you….
Tommy Says:
February 9th, 2015 at 8:55 pm
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ian Says:
February 9th, 2015 at 9:31 pm
major@kapnek.selfless” rel=”nofollow”>.…

ñýíêñ çà èíôó!!…
don Says:
February 10th, 2015 at 10:40 am
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isaac Says:
February 10th, 2015 at 10:41 pm
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tnx!…
Jamie Says:
February 11th, 2015 at 4:51 am
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Melvin Says:
February 11th, 2015 at 5:27 am
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ñïñ çà èíôó!!…
Alex Says:
February 11th, 2015 at 9:47 am
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Armando Says:
February 12th, 2015 at 2:30 am
rainier@miniatures.seldom” rel=”nofollow”>.…

áëàãîäàðåí!…
Jessie Says:
February 12th, 2015 at 9:11 pm
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douglas Says:
February 13th, 2015 at 5:38 am
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ñýíêñ çà èíôó!…
Orlando Says:
February 13th, 2015 at 6:04 am
yugoslav@drudgery.slaked” rel=”nofollow”>.…

ñýíêñ çà èíôó!!…
Maurice Says:
February 13th, 2015 at 1:48 pm
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ñïàñèáî….
neil Says:
February 13th, 2015 at 2:19 pm
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tnx for info!!…
norman Says:
February 13th, 2015 at 2:51 pm
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Everett Says:
February 13th, 2015 at 3:11 pm
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Gene Says:
February 13th, 2015 at 3:41 pm
joaquin@brodbeck.affirms” rel=”nofollow”>.…

ñïñ çà èíôó!!…
Guy Says:
February 13th, 2015 at 10:07 pm
mullers@rose.jordas” rel=”nofollow”>.…

tnx for info!!…

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[SHA, Right] The Algorithm

SHA-0 (or something more clever here)

Structure of the Hash Function

The Compression Function

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