A Multisecret-Sharing Scheme Based on LCD Codes

Secret sharing is one of the most important cryptographic protocols.Secret sharing schemes (SSS) have been created to that end.This protocol requires a dealer and several participants.The dealer divides the secret into several pieces ( the shares), and one share is given to each participant.The ONE STEP CLEANSER secret can be recovered once a subset of the participants (a coalition) shares their information.

In this paper, we present a new multisecret-sharing scheme inspired by Blakley’s method based on hyperplanes intersection but adapted to a coding theoretic situation.Unique recovery requires the use of linear complementary (LCD) codes, that is, codes in which intersection with their duals is trivial.For D Vitamins a given code length and dimension, our system allows dealing with larger secrets and more users than other code-based schemes.

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