Abstract: This work focuses on secure communication for visually impaired individuals by integrating Braille encoding with elliptic curve cryptography. We propose a novel encryption algorithm that leverages elliptic curves defined over the ring $$A_{3}$$= $$ \frac{\mathbb{F}_{2^{d}}[X]}{(X^{3})} $$ as described in, [1]. The algorithm introduces a matrix-based encoding scheme that utilizes points on the elliptic curve $$Ea,b(A_{3})$$ to encode information. It combines a password with a symmetric key to enhance security, exploiting the algebraic structure of these matrices. We illustrate the method with a concrete example of an encrypted message and provide a security analysis. The core security challenge addressed is the difficulty of recovering the password and private sub-key, which depends on the computational hardness of identifying the corresponding elliptic curve points. This methodology can be applied in conjunction with Computational Intelligence (CI) techniques, such as neural networks, fuzzy logic, and genetic algorithms.

Keywords: Finite ring, Elliptic curve, Braille code, Cryptography

Pages: 136-144

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