Page 16 - Abstract book - TJSSF-2020

Thailand – Japan Student Science Fair 2020 (TJ-SSF 2020)
“Seeding Innovations through Fostering Thailand – Japan Youth Friendship”

Safety vault with security sharing algorithm using matrix

Natthanan Phutthason , Patipan Nillaphant
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Advisor: Sumalee Klaimuang
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Princess Chulabhorn Science High School Loei
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Abstract

Mathematics Project on the topic of “Safety vault with security sharing algorithm using matrix”
aims to create a safe and create a password with Security sharing system by applying knowledge of the
matrix, the Geometer's Sketchpad (GSP) version 5.06 program and programming on the Raspberry pi
3. It has been summarized and discussed the results as follow;
From the study of how to create a security system Pattern for sharing secret passwords and
creating safes with security systems by using mathematical knowledge about matrix was found that the
secret t out of n then t, n I+, and has 5 patterns. There are a format for sharing
the secret 2 out of n, 3 out of n, 4 out of n, 5 out of n and 6 out of n. In calculation and build a safe with
a secret-sharing security system using the raspberry pi 3 board to control the mechanism of the safe by
having guidelines for creating security systems. The format for sharing the secret t out of n is as follows:

If is password and divide the information related to the secret into n parts, then give each section
to relevant parties. When taking any part of the confidential information t in this n part together. It will

be able to find . But if there is less confidential information than t, it will not be able to know
with the following steps.

Then t I+ and

n I+ and

1. Select function and if is password then

.

2. Choose n points that are on the curve that from

relevant parties then n is .
3. Substitute at least t points to create linear equations and get a system of linear equations,
t equations, variables as follows:

From

From

From

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