That’s why, even with a public key, it’s extremely computationally intensive to calculate the private key without knowing the prime factors. Looks simple, right? Now imagine doing that with a number over 100 digits long. The mathematics behind the RSA algorithm is beyond the scope of this blog, but the crux is that RSA’s security depends on the immense difficulty of factoring very large numbers into their composite primes.įor those who need a refresher, factoring a number like 20 looks like this: The mathematics behind ECC and RSA are so complex, they can only be solved using computers. The message can only be decrypted with the private key, which takes the random-appearing number and applies a different algorithm that essentially “undoes” the original. The public key encrypts a message by applying a mathematical algorithm to transform it into a very large, random-appearing number. Public key encryption has two components, a public key and a private key. Thus, for a cryptographic algorithm to be effective and secure, it must be easy to encrypt a message, but nearly impossible to decrypt without the decryption key.īoth ECC and RSA are public key encryption algorithms that leverage highly advanced mathematical functions. At their most basic, robust cryptographic algorithms are “trapdoor functions.” While falling through a trapdoor is very easy, getting back out is very difficult because trapdoors only swing in one direction. What is the Difference Between ECC and RSA?īefore discussing the differences between ECC and RSA, it’s important to understand how public-key cryptographic algorithms work. ECC is an alternative to Rivest-Shamir-Adleman (RSA) encryption, which was first released in 1977.Ĭontinue reading to learn more about elliptic curve cryptography and why it’s considered the most secure form of encryption. It provides a secure way to perform cryptographic operations such as key exchange, digital signatures and encryption. Strengthen your organization with zero-trust security and policiesĪchieve industry compliance and audit reporting including SOX and FedRAMPĮlliptic Curve Cryptography (ECC) is a form of public-key cryptography that is based on the mathematics of elliptic curves. Restrict secure access to authorized users with RBAC and policies Initiate secure remote access with RDP, SSH and other common protocols Manage and protect SSH keys and digital certificates across your tech stack Securely manage applications and services for users, teams and nodes Protect critical infrastructure, CI/CD pipelines and eliminate secret sprawlĪchieve visibility, control and security across the entire organization Securely share passwords and sensitive information with users and teamsĮnable passwordless authentication for fast, secure access to applications Seamlessly and quickly strengthen SAML-compliant IdPs, AD and LDAP Protect and manage your organization's passwords, metadata and files
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