Now, we have to select a number ‘d’ within the range of ‘n’. The sender will be encrypting the message with receiver’s public key and the receiver will decrypt its private key. Key generation is an important part where we have to generate both public key and private key. They are also used in several integer factorization algorithms based on elliptic curves that have applications in cryptography, such as Lenstra elliptic curve factorization. Indirectly, they can be used for encryption by combining the key agreement with a symmetric encryption scheme. ECC requires smaller keys compared to non-ECC cryptography (based on plain Galois fields) to provide equivalent security.Elliptic curves are applicable for key agreement, digital signatures, pseudo-random generators and other tasks. Elliptic curve cryptography ( ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields.
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