## RSA vs. ECDSA: What are the differences?

**RSA public key**comprises the composite number (n) and a public exponent (e). The public exponent is a number that has to satisfy two conditions. First, It must be a comprime to ϕ(n) when ϕ(n) is (p−1)(q−1). Second, the public exponent should be a small number, such as 65537.

**RSA private key**consists of the composite number (n) and a private component (d). The private component (d) is chosen so that it would leave a remainder of 1 when it is multiplied by the public exponent (e) and divided by ϕ(n).

**ECDSA private key**stands for the randomly selected integer (k), which doesn’t change as long as the cryptographic key pair is used.

**ECDSA public key**represents point Q and is derived from the private key (k) when it’s used in the equation Q=kP. Here, P stands for the predefined point within the elliptic curve.

**Encrypting data and digital signatures.**RSA can encrypt small amounts of data and secure symmetric encryption keys in bulk encryption.

**SSL/TLS certificates.**Because RSA is integrated into many cryptographic libraries, it’s a popular choice for server certificates and is often used to secure websites.

**Key exchange.**RSA can securely exchange cryptographic keys over an unsecured network.

**Software distribution.**With the help of RSA signatures, you can check if the software downloads are genuine and authentic and if they haven’t been tampered with since the developer released them.

**Digital signatures.**In fact, digital signatures are currently the primary use case for ECDSA, given that its shorter key length makes the signing process fast and efficient.

**Cryptocurrencies and blockchain.**ECDSA’s small key sizes make the algorithm a preferred choice for blockchain technology. It can handle digital signatures efficiently and quickly without requiring extensive storage space.

**Mobile applications.**Because of their size, ECDSA keys don’t require much storage and offer faster processing. These features are especially valued in mobile applications because they provide good performance without sacrificing security.

**Internet of Things devices (IoT).**IoT devices typically have lower computational capacity than a more demanding algorithm, such as RSA, would require. ECDSA is an optimal solution for securing connections and data exchange with IoT devices.

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