RETRACTED ARTICLE: Performance improvement of elliptic curve cryptography system using low power, high speed 16 × 16 Vedic multiplier based on reversible logic

Multipliers act as processors and take on the notable work of many computing frameworks. The speed of the processor is profoundly affected by the speed of their multipliers. In order to improve the system speed, faster and more efficient multipliers should be used. A Vedic multiplier is one of the best solution that can be used to perform multiplications at a faster rate by eliminating the steps that are not needed in usual multiplication process. Power consumption is another critical issue in embedded systems that cannot be ignored. Reversible logic has become notable in the recent years because of its potential to reduce power utilization, which is a major concern in digital design. In this work, a high-speed 16 × 16 Vedic multiplier was designed using Urdhva Tiryagbhyam (UT) sutra, which is derived from Vedic mathematics. This is a simple structure as well as an unbeatable combination for creating any complex multiplication operations for services where speed is of prime importance. This work also proposes a new method based on Elliptic Curve Cryptography (ECC) system for encryption and decryption using Vedic multiplication. By using Vedic Multiplication in ECC the processing time is perfectly reduced. The proposed Elliptic curve cryptography method is much faster than other elliptic curve cryptographic algorithms. Compared to other cryptographic techniques, the key size required to provide equivalent security is small in ECC.