Abstract: An elliptic curve multiplication method comprises three stages. In the first stage, randomly selected point representations are stored in variables. In the second stage, a right-to-left loop is executed that modifies the variable values in dependency of a multiplier. In the last stage, the result is calculated from the modified variable values.

Abstract: Method for the encryption of data as well as a corresponding decryption method are set forth. In order to guarantee a secure transmission of data with relatively little effort, an encryption method is provided in which a key vector with a second length is generated from a secret key information vector with a short length and a public matrix with a size corresponding to the first length times a second length, which is greater than the first size, and in which an encryption vector is formed by means of a first encryption method from a data vector with a third length, which is less than or equal to the second length, and the key vector.

Abstract: An elliptic curve multiplication method comprises three stages. In the first stage, randomly selected point representations are stored in variables. In the second stage, a right-to-left loop is executed that modifies the variable values in dependency of a multiplier. In the last stage, the result is calculated from the modified variable values.