A new key exchange system over a 𝐺𝐹(3𝑝) for RGB/IoT

This article proposes a new key exchange system that concatenates the Discrete Logarithm Problem (DLP) using a hyperelliptic curve defined over a Galois field 𝐆𝐅(𝟑𝐧) and the Tree Parity Machine (TPM) neural synchronization. Furthermore, the proposed system is suitable for VLC indoor channels, since the transmitted information is encoded in three colors red, blue and green (RBG). Also, this system is appropriate for the IoT, since to make the exchange of keys, the system only needs to transmit two pairs of integers 𝒔𝒉𝑨 , 𝑶𝑨 and 𝒔𝒉𝑩 , 𝑶𝑩 . The security of the system is based on the concealment of the stimulus vector during the synchronization process and an improvement of 115% for 𝟏𝟎𝟎≤ 𝒕𝒔𝒚𝒏𝒄≤ 𝟒𝟎𝟎 is obtained when comparing this system with classical synchronization.