待补充 Related Message Attack 可攻击特征 当Alice 使用同一公钥对两个具有某种线性关系的消息 M1 与 M2 进行加密,并将加密后的消息 C1,C2 发送给了 Bob 时,我们就可能可以获得对应的消息 M1 与 M2。这里我们假设模数为 N,两者之间的线性关系如下 $$ M_1 \equiv f(M_2) \bmod N $$ ...
内容提示: A New Related Message Attack on RSAOded Yacobi 1 and Yacov Yacobi 21Department of Mathematics, University of California San Diego,9500 Gilman Drive, La Jolla, CA 92093, USAoyacobi@math.ucsd.edu,2Microsoft Research, One Microsoft Way, Redmond, WA 98052, USAyacov@microsoft.comAbstract...
[0] # find root < 2^kbits with factor >= n^0.5 return diff def related_message_attack(c1, c2, diff, e, n): PRx.<x> = PolynomialRing(Zmod(n)) g1 = x^e - c1 g2 = (x+diff)^e - c2 def gcd(g1, g2): while g2: g1, g2 = g2, g1 % g2 return g1.monic() ...
待补充 Related Message Attack 可攻击特征 当Alice 使用同一公钥对两个具有某种线性关系的消息 M1 与 M2 进行加密,并将加密后的消息 C1,C2 发送给了 Bob 时,我们就可能可以获得对应的消息 M1 与 M2。这里我们假设模数为 N,两者之间的线性关系如下 $$ M_1 \equiv f(M_2) \bmod N $$ ...
A New Related Message Attack on RSA - Yacobi, Yacobi - 2005 () Citation Context ...ghly relevant in practise, as it is common that the apriori knowledge of the adversary on a message flow translates into a known relationship between the incoming messages. For example, as pointed in =-=...
related. We specialize our definitions to the ring of integers modulo N, a product of two primes (the “RSA ring”). All the congruences in this paper are taken mudulo N. A New Related Message Attack on RSA 3 Definition 1. Let h be a polynomial defined over the ring of ...
第五关:Related Message Attack [ ]Generating challenge5 [ ]n=0xf2e5339236455e2bc1b1bd12e45b9341a3b223ddb02dec11c880fa4aa8835df9e463e4c446292cd5a2fe19b10017856654b6d6c3f3a94a95807712329f7dae2e1e6506094d5d2f9c8a05c35cbf3366330996db9bff930fe566016d5e850e232057d419292ce30df9c135d56ef1bb72c388...
Franklin-Reiter Related Message Attack Coppersmith's Short Pad Attack Partial Key Exposure Attack ... 感兴趣的朋友可以查看文末的参考资料,这里就不展开了。值得一提的是这种情况的危害相对于前面选择过小的私钥指数情形而言相对较轻一些,即便选取了较小的公钥指数,距离成功的攻击也有不少的计算量。现实中私钥...
Hastad’s Broadcast Attack Franklin-Reiter Related Message Attack Coppersmith’s Short Pad Attack Partial Key Exposure Attack … 感兴趣的朋友可以查看文末的参考资料,这里就不展开了。值得一提的是这种情况的危害相对于前面选择过小的私钥指数情形而言相对较轻一些,即便选取了较小的公钥指数,距离成功的攻击也有...
这里的攻击是有方法名称的,即Related Message Attack 在e=3的情况下,我们可以利用rsa padding得到明文 根据之前第一步的推导,我们得到了 我们将式子变形为 移项得到 根据立方差公式,我们又有 联立 我们将式子1左右同乘aM2-b,将式子2左右同乘3b 然后即可得到如下式子 ...