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All Journal Bulletin of Electrical Engineering and Informatics Journal of Mathematics UNP Mathematical Journal of Modelling and Forecasting
Meira Parma Dewi
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Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Electrical & Electronics Engineering Mathematics

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Journal : Mathematical Journal of Modelling and Forecasting

 1 
The Introduction of Strassen's Algorithm and Application to 2^n Matrix Multiplication Anjelia, Davina; Dewi, Meira Parma
Mathematical Journal of Modelling and Forecasting Vol. 3 No. 1 (2025): June 2025
Publisher : Universitas Negeri Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/mjmf.v3i1.34

Abstract

Abstract. In matrix calculation operations, especially the process of square matrix multiplication, as the order of the matrix increases, the level of accuracy required also increases. Manual calculation is prone to errors and takes a long time, especially for large order matrices. These problems can be overcome by using the Strassen algorithm. Strassen's algorithm views a matrix as a 2×2 matrix because it has four elements. Square matrix multiplication using the Strassen algorithm can be an alternative solution because the Strassen algorithm only contains seven multiplication processes. So, applying the Strassen algorithm to square matrix multiplication will be an alternative in accelerating the multiplication process, especially for matrices of a large order. This research discusses how the Strassen algorithm is formed and its application to the square matrix multiplication of order . Strassen's algorithm is obtained by transforming the elements of the product matrix C. Algebraic identity transformation is done by applying the properties that apply to the calculation operation without changing the original value. Using Strassen's Algorithm in the square matrix multiplication process can be an alternative in accelerating the multiplication process because Strassen's algorithm summarises the multiplication process into seven steps, compared to multiplication in general, which requires eight steps.
Implementation of Elgamal Elliptic Curve-Based Cryptographic Systems (ECEG) in Text Encryption Oktariza, Kenanga Dylla; Dewi, Meira Parma
Mathematical Journal of Modelling and Forecasting Vol. 3 No. 2 (2025): December 2025
Publisher : Universitas Negeri Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/mjmf.v3i2.42

Abstract

Modern cryptography continues to evolve to meet the challenges of information security in the digital age. One of the most widely used algorithms is ElGamal's Elliptic Curve (ECEG). This public-key cryptography-based encryption method offers a high level of security with better computational efficiency than classical algorithms. This study implements the ECEG algorithm in the text encoding process to ensure data confidentiality and integrity. The encryption process is performed using the recipient's public key, while decryption is performed using the corresponding private key. The entire encryption and decryption process in this algorithm can be understood mathematically through operations on elliptical curves. The purpose of this study is to determine the peculiarities of each elliptical curve selected on an ECEG. This study uses a curves y^2=(x^3+8x+25) mod 37 generates all the points on the curve that can be used as a generator that will represent all the letters in the alphabet and numbers from 0 to 9.
Digital Signature Using the SHA-512 Hash Function and the ElGamal Cryptographic Algorithm for Document Security Bokari, Adib Yusron; Dewi, Meira Parma
Mathematical Journal of Modelling and Forecasting Vol. 3 No. 2 (2025): December 2025
Publisher : Universitas Negeri Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/mjmf.v3i2.44

Abstract

This study proposes a secure digital signature scheme using the SHA-512 hash function and the ElGamal cryptographic algorithm to ensure the authenticity and integrity of digital documents. The increasing reliance on digital communication has made document security a critical concern, as digital documents are vulnerable to unauthorised access, tampering, and fraud. To address this issue, a digital signature approach is implemented, leveraging the SHA-512 hash function to generate a unique message digest and the ElGamal algorithm to encrypt and decrypt the signature. The proposed system ensures that any alteration or modification of the document will result in a mismatch between the expected and actual hash values, thereby detecting potential security breaches. The combined use of SHA-512 and ElGamal algorithms provides a robust and secure digital signature scheme, guaranteeing the confidentiality, integrity, and authenticity of digital documents. This study demonstrates the effectiveness of the proposed scheme in preventing fraud and protecting digital documents from various security threats, making it a reliable solution for secure digital communication.
Co-Authors Aniati Murni Arymurthy Anjelia, Davina Bokari, Adib Yusron M. Halim MUHAMMAD SUBHAN Nurtami Soedarsono Oktariza, Kenanga Dylla Purwoko, Agus Setiawan, Suryana Shelvia Mandasari