Efficient Signature Scheme Using Extended Chaotic Maps for Medical Imaging Records

Digital security issues such as medical records, diagnostic certificates, medical images, etc. in the medical community have gradually been paid attention to. Nowadays, encrypting and signing electronic medical records including medical imaging records still have to rely on time-consuming exponential computations. Generally, medical image files are often larger and quite different from electronic medical text record file in characteristic, size and format. Recently, the chaotic map operation has been discovered to be superior to modular exponential or scalar multiplications on an elliptic curve. The extended chaotic maps also provide the characteristics of semigroup, commutative property, and the discrete logarithm problem, and thus are suitable for the development of asymmetric cryptosystems. This study develops a signature scheme based on extended chaotic maps that is suitable for medical imaging records. The proposed signature scheme not only provides the properties of digital signatures, including authentication, unforgeability and non-repudiation, but also is more efficient than the related signature mechanism used in medical institutions today.