3-D plane based extended Shamir’s secret sharing

Secret sharing scheme(s) use the method of splitting shares of a given secret to a reliable set of participants. These constituents of the secret are meaningless when used on their own, but when combined, they reconstruct the secret. Shamir’s secret sharing scheme introduced by Adi Shamir uses the concept that all or some of the participants are required in order to reconstruct the secret. This paper extends the Shamir’s secret sharing scheme by exploiting the use of three dimensional planes to share the secret to increase security and decrease the attacks possible.