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(crypto) added 2 Challs (beginner&easy)
Added beginner: rotten-salad easy: babyrsa
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name: "babyrsa" | ||
author: "souvlakia" | ||
category: crypto | ||
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description: | | ||
Fundamentals of RSA. Can you decrypt the message? | ||
value: 500 | ||
type: dynamic | ||
extra: | ||
initial: 500 | ||
minimum: 50 | ||
decay: 25 | ||
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flags: | ||
- GTBQ{g0tt4_l0v3_GCD_&_mult1_Pr1me_rs4} | ||
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files: | ||
- public/source.py | ||
- public/output.txt | ||
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tags: | ||
- crypto | ||
- beginner | ||
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state: visible | ||
version: "0.1" |
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n = 136129039934906799245883537600820362325696322589710411590186897335243686579104762065743976573291702750635108717889410733229115423708058508480236948810672363347991651420293334839308943729580241028725894733461551038888847568419901086597954491530529868885698368322552732418869647636401840431554294300907359920151 | ||
v = 145336505618051732550698474645594181799147590575859902257619187994378559013363268655950104864569764056670639713801017855616689453650198563048002837724039970159502938997236965318015229229549970355881337278281585150146306096405515477715640494716527445680613383929607132555875322057128548552200870650696580132521 | ||
w = 20612907913751940701434586234377070995512938354700166339929030278278014092311579879497093885185859184642701850534088712075806695131108284229597532840569152216986793187613838685954549359681582763903398538637932366747956519457275203090897430583637500207802799220582108236286968780561616121115054842835633027356029114516812021084434276111757860109305675350998033334000574804620501872783275490902197769254918685821157170228694510593644625793650591298037557438014165246072463794441871325588124086650937138575432899096783647585355882931580034904138718605575594187984051923588891709878571484103146803169259247375536859708763 | ||
c2 = 40999996801873802742121997119730707835375659336586118409913738383370584468803123294259818676510856232905858635994052230030123318196378107746038600276544711492946157137781760844236859181993407369879174109744518026199170698597057199969985775158762539533164627602726855551347620475705167278122876349988039969692 | ||
c3 = 3139944035622906500446122298196738357051827709726750721775633031452787107263389042610582535666920737943985088630120852223041567466431979061050093583701100302275054497243398106197255754467807652090694088800711075375412435711585892522866917133467033013010802142851893437909298773235587564677457793658655780592766302182404628855729480554049343600184461607330760299602586313139207785995916257882342396276534435829220426449740533729325143603438108068736676574488481496262952017763353301317940181413229422681271004713688641645933690837569274536827363723993636423240827193221091820001434531563287145275345624041360425385072 |
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from Crypto.Util.number import getPrime, bytes_to_long, long_to_bytes | ||
from secret import FLAG | ||
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def encrypt(m:str, e, n): # encrypt message with public key | ||
m=m.encode() # convert to bytes | ||
m=bytes_to_long(m) # convert to integer | ||
return pow(m, e, n) | ||
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def decrypt(c:int, n, prime_factors:list): # decrypt message if we know the prime factors of n | ||
phi=1 | ||
for p in prime_factors: | ||
phi*=(p-1) | ||
d=pow(e, -1, phi) | ||
m=pow(c, d, n) | ||
return long_to_bytes(m).decode() | ||
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if __name__ == '__main__': | ||
e=65537 | ||
p=getPrime(512) | ||
q=getPrime(512) | ||
n=p*q | ||
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r=getPrime(512) | ||
v=q*r | ||
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k=getPrime(512) | ||
w=p*q*r*k | ||
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print(f'{n = }') | ||
print(f'{v = }') | ||
print(f'{w = }') | ||
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# print(f'c1 = {encrypt(FLAG, e, n)}') | ||
print(f'c2 = {encrypt(FLAG[:20], e, v)}') | ||
print(f'c3 = {encrypt(FLAG[20:], e, w)}') |
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n = 136129039934906799245883537600820362325696322589710411590186897335243686579104762065743976573291702750635108717889410733229115423708058508480236948810672363347991651420293334839308943729580241028725894733461551038888847568419901086597954491530529868885698368322552732418869647636401840431554294300907359920151 | ||
v = 145336505618051732550698474645594181799147590575859902257619187994378559013363268655950104864569764056670639713801017855616689453650198563048002837724039970159502938997236965318015229229549970355881337278281585150146306096405515477715640494716527445680613383929607132555875322057128548552200870650696580132521 | ||
w = 20612907913751940701434586234377070995512938354700166339929030278278014092311579879497093885185859184642701850534088712075806695131108284229597532840569152216986793187613838685954549359681582763903398538637932366747956519457275203090897430583637500207802799220582108236286968780561616121115054842835633027356029114516812021084434276111757860109305675350998033334000574804620501872783275490902197769254918685821157170228694510593644625793650591298037557438014165246072463794441871325588124086650937138575432899096783647585355882931580034904138718605575594187984051923588891709878571484103146803169259247375536859708763 | ||
c2 = 40999996801873802742121997119730707835375659336586118409913738383370584468803123294259818676510856232905858635994052230030123318196378107746038600276544711492946157137781760844236859181993407369879174109744518026199170698597057199969985775158762539533164627602726855551347620475705167278122876349988039969692 | ||
c3 = 3139944035622906500446122298196738357051827709726750721775633031452787107263389042610582535666920737943985088630120852223041567466431979061050093583701100302275054497243398106197255754467807652090694088800711075375412435711585892522866917133467033013010802142851893437909298773235587564677457793658655780592766302182404628855729480554049343600184461607330760299602586313139207785995916257882342396276534435829220426449740533729325143603438108068736676574488481496262952017763353301317940181413229422681271004713688641645933690837569274536827363723993636423240827193221091820001434531563287145275345624041360425385072 |
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FLAG='GTBQ{g0tt4_l0v3_GCD_&_mult1_Pr1me_rs4}' |
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from Crypto.Util.number import getPrime, bytes_to_long, long_to_bytes | ||
from secret import FLAG | ||
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def encrypt(m:str, e, n): # encrypt message with public key | ||
m=m.encode() # convert to bytes | ||
m=bytes_to_long(m) # convert to integer | ||
return pow(m, e, n) | ||
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def decrypt(c:int, n, prime_factors:list): # decrypt message if we know the prime factors of n | ||
phi=1 | ||
for p in prime_factors: | ||
phi*=(p-1) | ||
d=pow(e, -1, phi) | ||
m=pow(c, d, n) | ||
return long_to_bytes(m).decode() | ||
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if __name__ == '__main__': | ||
e=65537 | ||
p=getPrime(512) | ||
q=getPrime(512) | ||
n=p*q | ||
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r=getPrime(512) | ||
v=q*r | ||
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k=getPrime(512) | ||
w=p*q*r*k | ||
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print(f'{n = }') | ||
print(f'{v = }') | ||
print(f'{w = }') | ||
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# print(f'c1 = {encrypt(FLAG, e, n)}') | ||
print(f'c2 = {encrypt(FLAG[:20], e, v)}') | ||
print(f'c3 = {encrypt(FLAG[20:], e, w)}') |
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# Solution: | ||
- We can find all the factors one by one by getting the GCD of the moduli. | ||
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```python | ||
from Crypto.Util.number import bytes_to_long, long_to_bytes, GCD | ||
n = ... | ||
v = ... | ||
w = ... | ||
c2 = ... | ||
c3 = ... | ||
e = 65537 | ||
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def decrypt(c:int, n, prime_factors:list): # decrypt message if we know the prime factors of n | ||
phi=1 | ||
for p in prime_factors: | ||
phi*=(p-1) | ||
d=pow(e, -1, phi) | ||
m=pow(c, d, n) | ||
return long_to_bytes(m).decode() | ||
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q= GCD(n, v) | ||
p= n//q | ||
r= v//q | ||
k= w//(p*q*r) | ||
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print(decrypt(c2, v, [q,r]), end='') | ||
print(decrypt(c3, w, [p,q,r,k])) | ||
``` |
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from Crypto.Util.number import bytes_to_long, long_to_bytes, GCD | ||
n = 136129039934906799245883537600820362325696322589710411590186897335243686579104762065743976573291702750635108717889410733229115423708058508480236948810672363347991651420293334839308943729580241028725894733461551038888847568419901086597954491530529868885698368322552732418869647636401840431554294300907359920151 | ||
v = 145336505618051732550698474645594181799147590575859902257619187994378559013363268655950104864569764056670639713801017855616689453650198563048002837724039970159502938997236965318015229229549970355881337278281585150146306096405515477715640494716527445680613383929607132555875322057128548552200870650696580132521 | ||
w = 20612907913751940701434586234377070995512938354700166339929030278278014092311579879497093885185859184642701850534088712075806695131108284229597532840569152216986793187613838685954549359681582763903398538637932366747956519457275203090897430583637500207802799220582108236286968780561616121115054842835633027356029114516812021084434276111757860109305675350998033334000574804620501872783275490902197769254918685821157170228694510593644625793650591298037557438014165246072463794441871325588124086650937138575432899096783647585355882931580034904138718605575594187984051923588891709878571484103146803169259247375536859708763 | ||
c2 = 40999996801873802742121997119730707835375659336586118409913738383370584468803123294259818676510856232905858635994052230030123318196378107746038600276544711492946157137781760844236859181993407369879174109744518026199170698597057199969985775158762539533164627602726855551347620475705167278122876349988039969692 | ||
c3 = 3139944035622906500446122298196738357051827709726750721775633031452787107263389042610582535666920737943985088630120852223041567466431979061050093583701100302275054497243398106197255754467807652090694088800711075375412435711585892522866917133467033013010802142851893437909298773235587564677457793658655780592766302182404628855729480554049343600184461607330760299602586313139207785995916257882342396276534435829220426449740533729325143603438108068736676574488481496262952017763353301317940181413229422681271004713688641645933690837569274536827363723993636423240827193221091820001434531563287145275345624041360425385072 | ||
e = 65537 | ||
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def decrypt(c:int, n, prime_factors:list): # decrypt message if we know the prime factors of n | ||
phi=1 | ||
for p in prime_factors: | ||
phi*=(p-1) | ||
d=pow(e, -1, phi) | ||
m=pow(c, d, n) | ||
return long_to_bytes(m).decode() | ||
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q= GCD(n, v) | ||
p= n//q | ||
r= v//q | ||
k= w//(p*q*r) | ||
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print(decrypt(c2, v, [q,r]), end='') | ||
print(decrypt(c3, w, [p,q,r,k])) |
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name: "Rotten Salad" | ||
author: "souvlakia" | ||
category: crypto | ||
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description: | | ||
Caesar came up with a cipher to protect the salad recipe his cyber Chef made. Can you help Brutus decrypt it? | ||
value: 500 | ||
type: dynamic | ||
extra: | ||
initial: 500 | ||
minimum: 50 | ||
decay: 25 | ||
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flags: | ||
- GTBQ{3t_Tu_bRut3?} | ||
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files: | ||
- public/salad.txt | ||
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tags: | ||
- crypto | ||
- beginner | ||
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state: visible | ||
version: "0.1" |
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Vtx(t' ft!tw exv|%xM | ||
e$"t|#x !x))*vx | ||
ct'"x(t# v{xx(x | ||
V'|(% v'$*)$#( | ||
ZgUd0F)rg*rue*)FR2 |
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[salad](https://gchq.github.io/CyberChef/#recipe=ROT47(19)&input=Q2Flc2FyIFNhbGFkIFJlY2lwZToKUm9tYWluZSBsZXR0dWNlClBhcm1lc2FuIGNoZWVzZQpDcmlzcCBjcm91dG9ucwpHVEJRezN0X1R1X2JSdXQzP30&oenc=65001) |
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[salad](https://gchq.github.io/CyberChef/#recipe=ROT47_Brute_Force(100,0,true,'GTBQ%7B')&input=VnR4KHQnIGZ0IXR3IGV4dnwleE0KZSQidHwjeCAheCkpKnZ4CmN0JyJ4KHQjIHZ7eHgoeApWJ3woJSB2JyQqKSQjKApaZ1VkMEYpcmcqcnVlKilGUjI&oenc=65001) |