Elliptic Curve Cryptography 2
Elliptic Curve Cryptography Security
Week 5-1
Discussion 1
Thank you for your insightful post. It is in no doubt that there has been a prolonged
debate on whether elliptic curve cryptography algorithm has a backdoor to random number
generators. The algorithm, however, remains secure since the few vulnerabilities that have
appeared in the side-channel have been tactfully mitigated. Although quantum attacks loom over
ECC, they are yet to be available (Bauer, 2016). Additionally, it is a common vulnerability for
all cryptographic algorithms to have their keys broken. History has shown that ECC is both
theoretically secured and properly implemented. However, there are cases that require proper
security testing and implementation especially with the exponent growth of technology. The
major question is whether the algorithm will stand the test of time as hackers and technology get
more sophisticated. Will it stand out to secure IoT, blockchain, and other applications in the era
of quantum computing?
Discussion 2
Many applications, smart cards, blockchain and even smart cards have successfully
implemented ECC. The major influencing factors being minimal resource utilization, shorter
key-lengths, and its performance that rivals that of RSA and other cryptographic algorithms.
ECC is one of the algorithms that have highly complicated security solutions (Stolbikova,
2016). While RSA is the first algorithm to use public ke generation, ECC has gained popularity
over the past few decades. To this end, it is the best known algorithm for solving ECDLP
problem within sub-exponential time. As an example, RSA algorithm needs 2048 bit-key size in

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