凱撒大帝的征討之路

題目

凱撒大帝在出征之路上留下了這樣一串字符，你能通過這串字符得到FLAG并提交嗎？

lnixoa{1x2azz7w8axyva7y1z2320vxy6v97v9a}

我的解答：

凱撒密碼

qsnctf{1c2fee7b8fcdaf7d1e2320acd6a97a9f}

PigPig

題目

這是什么密碼呢？得到的結(jié)果請加上qsnctf{}后提交。

我的解答：

豬圈密碼：http://moersima.00cha.net/zhuquan.asp

在線解碼即可。

解個方程

題目

用簡單的數(shù)學(xué)知識來解個方程吧！

歡迎來到青少年CTF，領(lǐng)取你的題目，進(jìn)行解答吧！這是一道數(shù)學(xué)題！！
    p = 289354660472309271657353248544706260479
    q = 57125200079323286870829810458555200169
    e = 65537
    d = ?
    

我的解答：

簡單的求d

import gmpy2
from Crypto.Util.number import *

p = 289354660472309271657353248544706260479
q = 57125200079323286870829810458555200169
e = 65537
phi = (p-1)*(q-1)
d = gmpy2.invert(e,phi)
print(d)
#7367969462435284192140853832508961738271951882284082089327925279892469405169

qsnctf{e30479db5bcd4d6384722647fb42c886}

ez_log

題目

from Crypto.Util.number import *
from random import *
flag=b'key{xxxxxxx}'
m=bytes_to_long(flag)
p=3006156660704242356836102321001016782090189571028526298055526061772989406357037170723984497344618257575827271367883545096587962708266010793826346841303043716776726799898939374985320242033037
g=3
c=pow(g,m,p)
print(f'c=',c)

    c=1357929686817757691458037658075453080147729946004559669716645300464681796023905740479827097068963012085529251008676406361905862646171082203012568824221846102704498507134119427563694774055882

我的解答：

簡單的離散，sage直接梭

from Crypto.Util.number import *
import gmpy2
p=3006156660704242356836102321001016782090189571028526298055526061772989406357037170723984497344618257575827271367883545096587962708266010793826346841303043716776726799898939374985320242033037
c=1357929686817757691458037658075453080147729946004559669716645300464681796023905740479827097068963012085529251008676406361905862646171082203012568824221846102704498507134119427563694774055882

g=3
flag = discrete_log(Mod(c,p),Mod(g,p))
print(long_to_bytes(flag))
#key{uDujFo}
#qsnctf{82bbfdce553f48eb936b3a6c2b3771b1}

ezrsa

題目

from Crypto.Util.number import *
flag = b'qsnctf{xxx-xxxx-xxxx-xxxx-xxxxxxxxx}'
m = bytes_to_long(flag)
p = getPrime(512)
q = getPrime(512)
r = getPrime(512)
n = p * q * r
leak = p * q
e = 0x10001
c = pow(m, e, n)
print(f'c = {c}')
print(f'n = {n}')
print(f'leak = {leak}')
# c = 173595148273920891298949441727054328036798235134009407863895058729356993814829340513336567479145746034781201823694596731886346933549577879568197521436900228804336056005940048086898794965549472641334237175801757569154295743915744875800647234151498117718087319013271748204766997008772782882813572814296213516343420236873651060868227487925491016675461540894535563805130406391144077296854410932791530755245514034242725719196949258860635915202993968073392778882692892
# n = 1396260492498511956349135417172451037537784979103780135274615061278987700332528182553755818089525730969834188061440258058608031560916760566772742776224528590152873339613356858551518007022519033843622680128062108378429621960808412913676262141139805667510615660359775475558729686515755127570976326233255349428771437052206564497930971797497510539724340471032433502724390526210100979700467607197448780324427953582222885828678441579349835574787605145514115368144031247
# leak = 152254254502019783796170793516692965417859793325424454902983763285830332059600151137162944897787532369961875766745853731769162511788354655291037150251085942093411304833287510644995339391240164033052417935316876168953838783742499485868268986832640692657031861629721225482114382472324320636566226653243762620647

我的解答：

這題已經(jīng)是老生常談了。直接在模r下算即可。

from Crypto.Util.number import *
import gmpy2
c = 173595148273920891298949441727054328036798235134009407863895058729356993814829340513336567479145746034781201823694596731886346933549577879568197521436900228804336056005940048086898794965549472641334237175801757569154295743915744875800647234151498117718087319013271748204766997008772782882813572814296213516343420236873651060868227487925491016675461540894535563805130406391144077296854410932791530755245514034242725719196949258860635915202993968073392778882692892
n = 1396260492498511956349135417172451037537784979103780135274615061278987700332528182553755818089525730969834188061440258058608031560916760566772742776224528590152873339613356858551518007022519033843622680128062108378429621960808412913676262141139805667510615660359775475558729686515755127570976326233255349428771437052206564497930971797497510539724340471032433502724390526210100979700467607197448780324427953582222885828678441579349835574787605145514115368144031247
leak = 152254254502019783796170793516692965417859793325424454902983763285830332059600151137162944897787532369961875766745853731769162511788354655291037150251085942093411304833287510644995339391240164033052417935316876168953838783742499485868268986832640692657031861629721225482114382472324320636566226653243762620647
e=65537
r = n//leak

phi = r-1
d = gmpy2.invert(e,phi)
m = pow(c,d,r)
print(long_to_bytes(m))
#qsnctf{12ff81e0-7646-4a96-a7eb-6a509ec01c9e}

四重加密

題目

簡單的加密相信大家都會，請將最后的答案格式改為：qsnctf{flag}

我的解答：

壓縮包密碼base解碼:qsnctf

zcye{mxmemtxrzt_lzbha_kwmqzec}|key=hello

HTML解碼

zcye{mxmemtxrzt_lzbha_kwmqzec}|key=hello

維吉尼亞解碼

synt{yqitbfqnoi_xsxwp_wpifoqv}

ROT13解碼

flag{ldvgosdabv_kfkjc_jcvsbdi}

factor1

題目

import gmpy2
import hashlib
from Crypto.Util.number import *

p = getPrime(512)
q = getPrime(512)
d = getPrime(256)
e = gmpy2.invert(d, (p**2 - 1) * (q**2 - 1))
flag = "qsnctf{" + hashlib.md5(str(p + q).encode()).hexdigest() + "}"
print(e)
print(p * q)
# 4602579741478096718172697218991734057017874575484294836043557658035277770732473025335441717904100009903832353915404911860888652406859201203199117870443451616457858224082143505393843596092945634675849883286107358454466242110831071552006337406116884147391687266536283395576632885877802269157970812862013700574069981471342712011889330292259696760297157958521276388120468220050600419562910879539594831789625596079773163447643235584124521162320450208920533174722239029506505492660271016917768383199286913178821124229554263149007237679675898370759082438533535303763664408320263258144488534391712835778283152436277295861859
# 78665180675705390001452176028555030916759695827388719494705803822699938653475348982551790040292552032924503104351703419136483078949363470430486531014134503794074329285351511023863461560882297331218446027873891885693166833003633460113924956936552466354566559741886902240131031116897293107970411780310764816053

我的解答：

Wiener's Attack求d，然后根據(jù)n e d分解p q

import gmpy2
import libnum
import hashlib
import random

def continuedFra(x, y):
    cf = []
    while y:
        cf.append(x // y)
        x, y = y, x % y
    return cf
def gradualFra(cf):
    numerator = 0
    denominator = 1
    for x in cf[::-1]:
        numerator, denominator = denominator, x * denominator + numerator
    return numerator, denominator
def solve_pq(a, b, c):
    par = gmpy2.isqrt(b * b - 4 * a * c)
    return (-b + par) // (2 * a), (-b - par) // (2 * a)
def getGradualFra(cf):
    gf = []
    for i in range(1, len(cf) + 1):
        gf.append(gradualFra(cf[:i]))
    return gf

def wienerAttack(e, n):
    cf = continuedFra(e, n)
    gf = getGradualFra(cf)
    for d, k in gf:
        if k == 0: continue
        if (e * d - 1) % k != 0:
            continue
        phi = (e * d - 1) // k
        p, q = solve_pq(1, n - phi + 1, n)
        if p * q == n:
            return d

e=4602579741478096718172697218991734057017874575484294836043557658035277770732473025335441717904100009903832353915404911860888652406859201203199117870443451616457858224082143505393843596092945634675849883286107358454466242110831071552006337406116884147391687266536283395576632885877802269157970812862013700574069981471342712011889330292259696760297157958521276388120468220050600419562910879539594831789625596079773163447643235584124521162320450208920533174722239029506505492660271016917768383199286913178821124229554263149007237679675898370759082438533535303763664408320263258144488534391712835778283152436277295861859
n=78665180675705390001452176028555030916759695827388719494705803822699938653475348982551790040292552032924503104351703419136483078949363470430486531014134503794074329285351511023863461560882297331218446027873891885693166833003633460113924956936552466354566559741886902240131031116897293107970411780310764816053

d=wienerAttack(e, n**2)

print('d=',d)

k = e * d - 1

r = k
t = 0
while True:
    r = r // 2
    t += 1
    if r % 2 == 1:
        break
 
success = False
 
for i in range(1, 101):
    g = random.randint(0, n)
    y = pow(g, r, n)
    if y == 1 or y == n - 1:
        continue
 
    for j in range(1, t):
        x = pow(y, 2, n)
        if x == 1:
            success = True
            break
        elif x == n - 1:
            continue
        else:
            y = x
 
    if success:
        break
    else:
        continue
 
if success:
    p = libnum.gcd(y - 1, n)
    q = n // p
    print ('P: ' + '%s' % p)
    print ('Q: ' + '%s' % q)
    hash_result = hashlib.md5(str(p + q).encode()).hexdigest()

    print(b'qsnctf{' + hash_result.encode() + b'}')
else:
    print ('Cannot compute P and Q')
#qsnctf{8072e8b2982bc729cc74ef58f1abc862}
   

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