Implementation of Elliptic Curve Cryptography in Binary Field

[摘要] Currently, there is a steadily increasing demand of information security, caused by a surge in information flow. There are many ways to create a secure information channel, one of which is to use cryptography. In this paper, we discuss the implementation of elliptic curves over the binary field for cryptography. We use the simplified version of the ECIES (Elliptic Curve Integrated Encryption Scheme). The ECIES encrypts a plaintext by masking the original message using specified points on the curve. The encryption process is done by separating the plaintext into blocks. Each block is then separately encrypted using the encryption scheme.

[发布机构] Algebra Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha no. 10, Bandung; 40132, Indonesia^1

[效力级别] 化学

[关键词] Binary fields;Elliptic curve;Elliptic curve cryptography;Encryption schemes;Information channels;Information flows;Plaintext