Difference between revisions of "83Plus:BCALLs:80A2"
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| − | [[Category:83Plus:BCALLs:By Name:Math| | + | [[Category:83Plus:BCALLs:By Name:Cryptography|SigModR]] [[Category:83Plus:BCALLs:By Name:Math:Big Integer|SigModR]] [[Category:83Plus:BCALLs:By Name:Math|SigModR]] [[Category:83Plus:BCALLs:By Name|SigModR]] [[Category:83Plus:BCALLs:By Address|80A2 - SigModR]] |
| − | [[Category:83Plus:BCALLs:By Name| | + | |
| − | [[Category:83Plus:BCALLs:By Address|80A2 - | + | |
== Synopsis == | == Synopsis == | ||
| − | '''Official Name:''' Rabin | + | '''Official Name:''' SigModR |
| + | |||
| + | '''Other Name:''' Rabin | ||
'''BCALL Address:''' 80A2 | '''BCALL Address:''' 80A2 | ||
| Line 10: | Line 10: | ||
=== Inputs === | === Inputs === | ||
| − | * HL | + | * HL points to the signature, a [[83Plus:OS:Big_Integers|big integer]] |
| − | * | + | * [[83Plus:RAM:8000|8000]] holds the modulus, another big integer |
=== Outputs === | === Outputs === | ||
| − | * | + | * [[83Plus:RAM:8478|OP1-OP6]] hold the plaintext, a big integer |
=== Destroys === | === Destroys === | ||
| − | * | + | * All registers |
| − | * 8100h | + | * [[83Plus:RAM:8100|8100h]]: 130-byte area which the multiplication routine uses to store its result |
| − | * 8182h | + | * [[83Plus:RAM:8182|8182h]]: 65-byte area used as the first argument to the multiplication routine |
| − | * 81C3h | + | * [[83Plus:RAM:81C3|81C3h]]: 65-byte area used as the second argument to the multiplication routine |
== Comments == | == Comments == | ||
| Line 26: | Line 26: | ||
== Example == | == Example == | ||
| − | B_CALL | + | B_CALL [[83Plus:BCALLs:809F|SetupAppPubKey]] ;loads the modulus into 8000h |
| − | ld de,tempSwapArea | + | ld de,[[83Plus:RAM:82A5|tempSwapArea]] |
push de | push de | ||
ld hl,myInt | ld hl,myInt | ||
| Line 33: | Line 33: | ||
ldir ;copy large int to RAM | ldir ;copy large int to RAM | ||
pop hl ;address of large int to square | pop hl ;address of large int to square | ||
| − | B_CALL | + | B_CALL SigModR ;square it |
;8100h should now contain the number 3412h^2 mod the 0104 key. | ;8100h should now contain the number 3412h^2 mod the 0104 key. | ||
;Since the n of the public key is significantly larger, the answer is simply | ;Since the n of the public key is significantly larger, the answer is simply | ||
| Line 39: | Line 39: | ||
;8100h: 04 44 51 97 0A | ;8100h: 04 44 51 97 0A | ||
;(the integer A975144h) | ;(the integer A975144h) | ||
| − | + | myInt: | |
| − | myInt: | + | |
db 2,12h,34h | db 2,12h,34h | ||
| − | myIntEnd: | + | myIntEnd: |
Latest revision as of 09:57, 30 March 2005
Synopsis
Official Name: SigModR
Other Name: Rabin
BCALL Address: 80A2
Squares a large integer modulo n.
Inputs
- HL points to the signature, a big integer
- 8000 holds the modulus, another big integer
Outputs
- OP1-OP6 hold the plaintext, a big integer
Destroys
- All registers
- 8100h: 130-byte area which the multiplication routine uses to store its result
- 8182h: 65-byte area used as the first argument to the multiplication routine
- 81C3h: 65-byte area used as the second argument to the multiplication routine
Comments
This BCALL takes a large integer pointed to by HL and squares it modulo n. The OS uses this to decrypt the Rabin encrypted MD5 hash of an app.
Example
B_CALL SetupAppPubKey ;loads the modulus into 8000h ld de,tempSwapArea push de ld hl,myInt ld bc,myIntEnd-myInt ldir ;copy large int to RAM pop hl ;address of large int to square B_CALL SigModR ;square it ;8100h should now contain the number 3412h^2 mod the 0104 key. ;Since the n of the public key is significantly larger, the answer is simply ;3412h^2. So the contents of memory after this BCALL are ;8100h: 04 44 51 97 0A ;(the integer A975144h) myInt: db 2,12h,34h myIntEnd:
