Proceedings of the Soedirman International Conference on Mathematics and Applied Sciences (SICOMAS 2021)

Hadamard Matrix on Cryptographic Problems

Authors
Salman Al Farizi1, Mashuri Mashuri1, Bambang Hendriya Guswanto*, 1
1Department of Mathematics, Faculty of Mathematics and Natural Sciences, Jenderal Soedirman University, Jl. Dr. Soeparno 61, Purwokerto 53123, Indonesia
*Corresponding author. Email: bambang.guswanto@unsoed.ac.id
Corresponding Author
Bambang Hendriya Guswanto
Available Online 25 May 2022.
DOI
10.2991/apr.k.220503.012How to use a DOI?
Keywords
Hadamard matrix; encryption; decryption; Hill Chiper
Abstract

The application of matrices to cryptographic problems, especially with Hill Chiper algorithm, needs an invertible matrix as a key and a plaintext’s difuser. One of the invertible matrices is a Hadamard matrix (H). The Hadamard matrix is applied to cryptographic problems with Hill Chiper algorithm by modifying encryption and decryption processes with the help of Hadamard matrix properties and modulo operation. The Hill Chiper algorithm requires two keys, namely public and private keys. By using the Hadamard matrix as a public key, the encryption process can be shortened by eliminating the process of checking of the reverse key matrix. Any character can also be used as a private key provided the number of characters doesn’t exceed the square of the Hadamard matrix order.

Copyright
© 2022 The Authors. Published by Atlantis Press International B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license.

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Volume Title
Proceedings of the Soedirman International Conference on Mathematics and Applied Sciences (SICOMAS 2021)
Series
Advances in Physics Research
Publication Date
25 May 2022
ISBN
10.2991/apr.k.220503.012
ISSN
2352-541X
DOI
10.2991/apr.k.220503.012How to use a DOI?
Copyright
© 2022 The Authors. Published by Atlantis Press International B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license.

Cite this article

TY  - CONF
AU  - Salman Al Farizi
AU  - Mashuri Mashuri
AU  - Bambang Hendriya Guswanto
PY  - 2022
DA  - 2022/05/25
TI  - Hadamard Matrix on Cryptographic Problems
BT  - Proceedings of the Soedirman International Conference on Mathematics and Applied Sciences (SICOMAS 2021)
PB  - Atlantis Press
SP  - 54
EP  - 58
SN  - 2352-541X
UR  - https://doi.org/10.2991/apr.k.220503.012
DO  - 10.2991/apr.k.220503.012
ID  - AlFarizi2022
ER  -