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All Journal Pythagoras: Jurnal Matematika dan Pendidikan Matematika JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Epsilon: Jurnal Matematika Murni dan Terapan CAUCHY: Jurnal Matematika Murni dan Aplikasi Resital: Jurnal Seni Pertunjukan (Journal of Performing Arts) Journal of Degraded and Mining Lands Management Al-Jabar : Jurnal Pendidikan Matematika JURNAL ILMIAH MATEMATIKA DAN TERAPAN JMPM: Jurnal Matematika dan Pendidikan Matematika Adi Widya : Jurnal Pengabdian Masyarakat BAREKENG: Jurnal Ilmu Matematika dan Terapan Jurnal Labora Medika Jambura Journal of Mathematics M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika Jurnal Matematika UNAND Mandalika Mathematics and Educations Journal Jurnal Borneo Akcaya : Jurnal Penelitian dan Pengembangan Pelayanan Publik Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Leibniz: Jurnal Matematika Journal of Mathematics: Theory and Applications Empowerment Society Asia Pacific Journal of Management and Education Mathematical Sciences and Applications Journal Indonesian Journal of Applied Mathematics and Statistics
Edi Kurniadi
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Agriculture, Biological Sciences & Forestry Arts Humanities Biochemistry, Genetics & Molecular Biology Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Health Professions Immunology & microbiology Languange, Linguistic, Communication & Media Mathematics Mechanical Engineering Medicine & Pharmacology Physics Public Health Social Sciences Transportation Other

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Implementation of Combination RSA, Vigenere Cipher, and Permutation Cipher in Digital Communication Tielung, M. Fariel Fahriza; Kurniadi, Edi; Sylviani, Sisilia
Indonesian Journal of Applied Mathematics and Statistics Vol. 2 No. 1 (2025): Indonesian Journal of Applied Mathematics and Statistics (IdJAMS)
Publisher : Lembaga Penelitian dan Pengembangan Matematika dan Statistika Terapan Indonesia, PT Anugrah Teknologi Kecerdasan Buatan PT Anugrah Teknologi Kecerdasan Buatan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.71385/idjams.v2i1.18

Abstract

In the digital era, data security is essential for preventing unwanted access to information. To improve message security, this study intends to apply a mixture of three cryptographic algorithms: RSA, Vigenere cipher, and permutation cipher. The Vigenere and permutation ciphers are used to the message content to add an extra degree of security, while the RSA technique is utilized for asymmetric key encryption. In this system, the Vigenere cipher and permutation cipher, is used to encrypt the message, followed by RSA is used to encrypt the Vigenere process key. According to test results, combining these three techniques strengthens the cryptographic defenses against frequency analysis and brute force assaults by increasing their complexity. Although the combination lengthens the processing time, the resulting security is higher than the application of a single method. This system is expected to be applied to applications that require the protection of sensitive data with a high level of security.
Eksistensi Fungsional Frobenius dan Simplektik Linear Form Pada Aljabar Lie aff(3,R) Kurniadi, Edi; Aurillya Queency; Firdaniza, Firdaniza
Mandalika Mathematics and Educations Journal Vol 7 No 2 (2025): Edisi Juni
Publisher : FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jm.v7i2.8906

Abstract

Aljabar Lie dari grup Lie Aff(n,R) dinotasikan oleh aff(n,R)  di mana setiap anggotanya dapat dinyatakan dalam bentuk matriks berukuran (n+1) x (n+1). Sifat Frobenius ini mengakibatkan adanya Frobenius fungsional yang bekorepondensi dengan bentuk simplektiknya.  Tujuan penelitian ini adalah untuk menentukan bentuk simplektik pada aff(3,R). Pendekatan yang digunakan dalam penelitian ini adalah kombinasi dari metode kuantitatif berupa penentuan rumus eksplisit simplektik linear 2-form pada aff(3,R) dan metode kualitatif berupa studi literatur. Hasil yang diperoleh bahwa setiap  Frobenius fungsional dari aljabar Lie affine  senantiasa dapat dikonstruksi simplektik 2-form linear yang bersifat skew-simetrik dan non-degenerate sedemikian sehingga aljabar Lie affine aff(3,R) ini bersifat Frobenius. Hasil penelitian ini dapat dikembangkan untuk rumus umum bentuk simplektik aff(n,R), n>=4.
Formulasi Infinitesimal Generators Grup Lie Satu Parameter dari Transformasi Translasi dan Scaling Kurniadi, Edi; Badrulfalah, Badrulfalah; Gusriani, Nurul
Leibniz: Jurnal Matematika Vol. 5 No. 02 (2025): Leibniz: Jurnal Matematika
Publisher : Program Studi Matematika - Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas San Pedro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59632/leibniz.v5i02.496

Abstract

Grup Lie transformasi dapat dikarakterisasi melalui infinitesimal generators yang membentuk aljabar Lie. Infinitesimal generators dapat diaplikasikan untuk menyelesaikan persamaan diferensial biasa (PDB) maupun persamaan diferensial parsial (PDP) baik yang linear maupun nonlinear. Tujuan penelitian ini adalah untuk memberikan rumus ekplisit infinitesimal generators berkenaan dengan transformasi grup Lie satu parameter. Metode penelitian yang digunakan merupakan kombinasi dari metode kualitiatif berupa studi literatur khususnya transformasi translasi dan scaling dan metode kuantitatif dengan menentukan rumus eksplisit infinitesimal generators dan analisisnya. Hasil yang diperoleh adalah bentuk rumus eksplisit infinitesimal generators yang bersesuaian dengan jenis transformasi yang digunakan. Hasil ini bisa digunakan untuk penelitian selanjutnya dalam menyelesaikan model matematika reaksi difusi konveksi (RDK) dalam PDB maupun PDP sebagai salah satu langkah dalam aplikasi simetri Lie.  
Maintaining the critical water threshold in degraded Histosols to maximize soybean (Glycine max L. Merr.) growth Masulili, Agusalim; Sutikarini; Suci, Ida Ayu; Kurniadi, Edi
Journal of Degraded and Mining Lands Management Vol. 12 No. 4 (2025)
Publisher : Brawijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15243/jdmlm.2025.124.8169.

Abstract

Histosols pose considerable potential for soybean cultivation but are highly susceptible to degradation. One critical constraint is the soil water threshold required to maximize soybean growth. This study aimed to determine the critical soil water content of degraded Histosols amended with rice husk ash and to assess its effect on soybean development. The experiment was conducted in a greenhouse and laboratory at the Faculty of Agriculture, Science and Technology, Universitas Panca Bhakti, from January to March 2024. A randomized complete block design with a factorial arrangement was employed, comprising two factors: rice husk ash at three application rates (12, 18, and 24 t ha-¹) and soil moisture levels at three percentages (25% below field capacity, at field capacity, and 25% above field capacity). Results indicated that leaf water potential, as an indicator of water availability for soybeans, was significantly influenced by soil moisture level. In contrast, rice husk ash treatment did not exert a significant effect. To attain the critical soil water threshold for optimal soybean performance on degraded Histosols, a moisture level 25% above field capacity was required. The best soybean growth was observed under the combined treatment of 12 t ha-¹ rice husk ash and soil moisture 25% above field capacity.
Quasi-Associative Algebras on the Frobenius Lie Algebra M_3 (R)⊕gl_3 (R) Henti, Henti; Kurniadi, Edi; Carnia, Ema
Al-Jabar: Jurnal Pendidikan Matematika Vol 12 No 1 (2021): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v12i1.8485

Abstract

In this paper, we study the quasi-associative algebra property for the real Frobenius  Lie algebra  of dimension 18. The work aims  to prove that  is a quasi-associative algebra and to compute its formulas explicitly. To achieve this aim, we apply the literature reviews method corresponding to Frobenius Lie algebras, Frobenius functionals, and the structures of quasi-associative algebras. In the first step, we choose a Frobenius functional determined by direct computations of a bracket matrix of  and in the second step, using an induced symplectic structure, we obtain the explicit formulas of quasi-associative algebras for . As the results, we proved that  has the quasi-associative algebras property, and we gave their formulas explicitly. For future research, the case of the quasi-associative algebras on   is still an open problem to be investigated. Our result can motivate to solve this problem.  
THE NON-DEGENERACY OF THE SKEW-SYMMETRIC BILINEAR FORM OF THE FINITE DIMENSIONAL REAL FROBENIUS LIE ALGEBRA Kurniadi, Edi
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 2 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (429.202 KB) | DOI: 10.30598/barekengvol16iss2pp379-384

Abstract

A Frobenius Lie algebra is recognized as the Lie algebra whose stabilizer at a Frobenius functional is trivial. This condition is equivalent to the existence of a skew-symmetric bilinear form which is non-degenerate. On the other hand, the Lie algebra is Frobenius as well if its orbit on the dual vector space is open. In this paper, we study the skew-symmetric bilinear form of finite dimensional Frobenius Lie algebra corresponding to its Frobenius functional. The work aims to prove that a Lie algebra of dimension is Frobenius if and only if the -th derivation of the Frobenius functional is not equal to zero. Indeed, this condition implies that the skew-symmetric bilinear form is non-degenerate and vice versa. In addition, some properties of Frobenius functionals are obtained. Furthermore, the computations are given using the coadjoint orbits and the structure matrix. As a discussion, we can investigate these results in the algebra case whether giving rise to a left-invariant K hler structure of a Frobenius Lie group or not.
A DIFFERENTIABLE STRUCTURE ON A FINITE DIMENSIONAL REAL VECTOR SPACE AS A MANIFOLD Kurniadi, Edi
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 4 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss4pp2207-2212

Abstract

There are three conditions for a topological space to be said a topological manifold of dimension : Hausdorff space, second-countable, and the existence of homeomorphism of a neighborhood of each point to an open subset of or -dimensional locally Euclidean. The differentiable structure is given if the intersection of two charts is an empty chart or its transition map is differentiable. In this article, we study a differentiable manifold on finite dimensional real vector spaces. The aim is to prove that any finite-dimensional vector space is a differentiable manifold. First of all, it is proved that a finite dimensional vector space is a topological manifold by constructing a norm as its topology. Given a metric which is induced by a norm. Two norms on a finite dimensional vector space are always equivalent and they are determine the same topology. Secondly, it is proved that the transition map in the finite dimensional vector space is differentiable. As conclusion, we have that any finite dimensional vector space with independent norm topology choice is a differentiable manifold. As a matter of discussion, it can be studied that the vector space of all linear operators of a finite dimensional vector space has a differentiable manifold structure as well.
THE LEVI DECOMPOSITION OF THE LIE ALGEBRA M_2 (R)⋊gl_2 (R) Kurniadi, Edi; Henti, Henti; Carnia, Ema
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 2 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss2pp0717-0724

Abstract

The idea of the Lie algebra is studied in this research. The decomposition between Levi sub-algebra and the radical can be used to define the finite dimensional Lie algebra. The Levi decomposition is the name for this type of decomposition. The goal of this study is to obtain a Levi decomposition of the Lie algebra of dimension 8. We compute its Levi sub-algebra and the radical of Lie algebra with respect to its basis to achieve this goal. We use literature studies on the Levi decomposition and Lie algebra in Dagli result to produce the radical and Levi sub-algebra. It has been shown that can be decomposed in the terms of the Levi sub-algebra and its radical. In this resulst, it has been given by direct computations and we obtained that the explicit formula of Levi decomposition of the affine Lie algebra whose basis is is written by with is is the Levi sub-algebra of .
Struktur Simplektik pada Aljabar Lie Affine aff(2,R) Queency, Aurillya; Kurniadi, Edi; Firdaniza, Firdaniza
Jambura Journal of Mathematics Vol 6, No 1: February 2024
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v6i1.23254

Abstract

In this research, we studied the affine Lie algebra aff(2,R). The aim of this research is to determine the 1-form in affine Lie algebra aff(2,R) which is associated with its symplectic structure so that affine Lie algebra aff(2,R) is a Frobenius Lie algebra. Realized the elements of the affine Lie algebra aff(2,R) in matrix form, then calculated the Lie brackets and formed the structure matrix of the affine Lie algebra aff(2,R). 1-form of the affine Lie algebra aff(2,R) is obtained from the determinant of the structure matrix of the affine Lie algebra aff(2,R). Furthermore, proved that the 2-form is symplectic and related to the 1-form. The result obtained is that the affine Lie algebra aff(2,R) has 1-form α=ε_12^*+ε_23^* on aff(2,R)^* which is related to its symplectic structure, β=ε_11^*∧ε_12^*+ε_12^*∧ε_22^*+ε_21^*∧ε_13^*+ε_22^*∧ε_23^* such that the affine Lie algebra aff(2,R) is a Frobenius Lie algebra. For further research, it can be developed into an affine Lie algebra with dimensions n(n+1).
Klasifikasi Aljabar Lie Forbenius-Quasi Dari Aljabar Lie Filiform Berdimensi ≤ 5 Pratiwi, Putri Nisa; Kurniadi, Edi; Firdaniza, Firdaniza
Jambura Journal of Mathematics Vol 6, No 1: February 2024
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v6i1.22481

Abstract

In this research, we studied quasi-Frobenius Lie algebras and filiform Lie algebras of dimensions â‰¤ 5 over real field. The primary objective of this research is to classify the classification of filiform Lie algebras of dimensions â‰¤ 5 into quasi-Frobenius Lie algebras. The method employed in this research involves constructing a skew-symmetric 2-form in real Lie algebra, which also a nondegenerate 2-cocycle. The outcomes of this research reveal that there exists a class of filiform Lie algebras of dimensions $\le 5$ that can be classified as a quasi-Frobenius real Lie algebra. Furthermore, this research can be developed to classify higher dimensional filiform Lie algebras as quasi-Frobenius real Lie algebras.
Co-Authors Alamsyah, Alifa Raida Alit Kartiwa, Alit Aminuyati Anita Triska Ari Hepi Yanti Asri Laksmi Riani Asri Laksmi Riani Atmaji, Susan Dwi Cahyaningrum Aurillya Queency Badrulfalah Badrulfalah Betty Subartini Cholil, Mohammad Dellavani, Charitra Yulia Dien Wardihastri Destina Paningrum, Destina Diah Wulandari Rousdy Dwi Soegiarto, Dwi Ema Carnia Estetika Mutiaranisa Kurniawati Firdaniza Firdaniza Hafizhah, Nur Henti, Henti Hermawan, Aldi Holyness Nurdin Singadimedja Ida Ayu Suci Irawati Irawati Isah Aisah Kankan Parmikanti Khairudin Khairudin Kurniawati, Estetika Mutiaranisa Masulili, Agusalim Mohammad Cholil Muhammad Arief Budiman Mulyanto Mulyanto Nurul Gusriani, Nurul Pratiwi, Putri Nisa Queency, Aurillya Rahmawati, Rahmawati Rikhsan Kurniatuhadi, Rikhsan Rini Suryani, Rini Rusnandari Retno Cahyani Setiawan, Ade Ripki Sisilia Sylviani siti nurlela Slamet Supriyadi Slamet Supriyadi Stanley P. Dewanto, Stanley P. Sukono . Sumartono, Basuki Susan Dwi Cahyaningrum, Atmaji, Sutikarini Tielung, M. Fariel Fahriza Wahida , Adam