Some elliptic curve based crypto-compression schemes for medical images

Abstract: In this paper, we propose two lossless crypto-compression schemes based on Elliptic Curve (EC) for the security of medical images. Pixels values are computed as elements of a finite field Fq. For compression, these elements are grouped in blocks in an appropriate manner. After transforming these blocks into points of an elliptic curve, two EC-based encryption schemes are applied. We obtain two crypto-compression schemes which compared to some existing systems, offer better performances in terms of compression rate, image quality and execution time.

Keywords: Image, Crypto-compression schemes, Elliptic Curve Cryptography, Discrete Logarithm Problem (DLP).