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Deteksi dan Identifikasi Pelaku Kecurangan Skema Pembagian Rahasia Linear Berbasis Skema Shamir Zulkaidah Nur Ahzan; Sugi Guritman; Bib Paruhum Silalahi
Jurnal Karya Pendidikan Matematika Vol 7, No 1 (2020): Jurnal Karya Pendidikan Matematika Volume 7 Nomor 1 Tahun 2020
Publisher : Universitas Muhammadiyah Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (288.126 KB) | DOI: 10.26714/jkpm.7.1.2020.27-41

Abstract

The method that can be used to maintain security of secret in the form of cryptographic keys is by using secret sharing scheme (SSS). This method is first proposed by Adi Shamir in 1979, where the proposed scheme is a (k, n) threshold scheme. Shamir scheme is a perfect scheme under the assumption that all shareholders present their original share. However, if there are dishonest shareholders who present faked shares then the honest shareholders get nothing but a faked secret. Secret sharing scheme based on linear scheme is a scheme that can detect and identify cheaters who submit faked shares at the secret reconstruction. Detectability of this scheme when  and identifiability when  under the assumption that all shareholders present their shares randomly. After conducting a security analysis of the proposed scheme, it is obtained that to succeed in attack with cheaters who work together to fool honest shareholders then a new polynomial g(x) such that g(1) = , g(2) = , …, g(k - 1) =  and a new detector that has the same value as detector d are needed.
IDENTIFIKASI PELAKU KECURANGAN DENGAN MENGGUNAKAN POLINOMIAL BIVARIAT SIMETRIS: Universitas Timor Aprilia Lopo; Zulkaidah Nur Ahzan; Fitriani Fitriani; Nugraha K. F. Dethan
Journal of Mathematics Theory and Applications Vol. 4 No. 1 (2025): Edisi Oktober 2025
Publisher : Program Studi Matematika, Universitas Timor

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

The purpose of this study is to identify fraudsters using Symmetric Bivariate Polynomials with one share detecion. This type of research is quantitative using the method Secret Sharing Scheme (SPR). Where in this study combines several schemes, one of which is Scheme Liu et al. (2018). The scheme Liu et al. (2018) is a Symmetric Bivariate Polynomial scheme, in the writing of the Liu et al. (2018) scheme they identy fraudsters using two share detections. In the study, researchers also use Symmetric Bivariate Polynomials to identify fraudsters, so that the results are obtained, namely at the secret shering stage using Symmetric Bivariate Polynomials, at the reconstruction stage using Lagrange interpolation and using Symmetric Bivariate Polynimials with one share detection where is a random integer. Thus it can be concluded that the identification of fraudsters using Symmetric Bivariate Polynimoials is able to identify fraudsters and by using one share detection is faster in the computation process.
The Effect of the Application of Geogebra Software Android Version on the Mathematical Ability of Politeknik Ilmu Pelayaran Makassar Cadets Fitriani Fitriani; Welem Ada'; Zulkaidah Nur Ahzan
Vygotsky: Jurnal Pendidikan Matematika dan Matematika Vol. 8 No. 1 (2026): Vygotsky: Jurnal Pendidikan Matematika dan Matematika
Publisher : Universitas Islam Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30736/voj.v8i1.1289

Abstract

Mathematics is used in various aspects of life, including the maritime and marine world. Mathematical concepts are widely used to solve problems in this field. Understanding abstract mathematical concepts requires a tool to bridge these concepts into concrete forms. The aim of this study is to determine the effect of using the Android version of GeoGebra software in improving the mathematical abilities of cadets. GeoGebra is a comprehensive and easy-to-use mathematical software. A study conducted on cadets at Politeknik Ilmu Pelayaran Makassar found that the use of the GeoGebra application had a positive impact on their understanding of mathematical material. This was demonstrated by inferential statistics tests and supported by the cadets' responses to the application's use in learning.
MENINGKATKAN KEMAMPUAN LITERASI MEMBACA DAN LITERASI NUMERASI DENGAN GIAT LITERASI BERTEMA GASING Meiva Marthaulina Lestari Siahaan; Zulkaidah Nur Ahzan; Fitriani Fitriani; Hesni Neno; Prudensius Manek; Yuliana Serli Danul; Rut Tae
Jurnal Pengabdian Pendidikan Masyarakat (JPPM) Vol 4 No 2 (2023): Jurnal Pengabdian Pendidikan Masyarakat Vol 4 No 2 (2023)
Publisher : LPPM UNIVERSITAS MUHAMMADIYAH MUARA BUNGO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52060/jppm.v4i2.1427

Abstract

This community service activity was held according to situation analysis and problems that occurred at SD Negeri Sasi Kefamenanu, East Nusa Tenggara. The main problem is the low ability of students to solve problem in reading numeracy literacy in AKM model. This service method is a service-learning method with the aim of improving students' reading literacy and numeracy literacy skills through GASING-themed literacy activities and increasing student motivation in learning through GASING-themed literacy activities. The results of the service activities show 1) students' initial ability to work on reading literacy and numeracy literacy questions as seen from the average percentage value of 54.10%, 2) providing GASING-themed reading literacy activities in the form of providing props in the form of letter trees, paragraph puzzles, providing GASING-themed numeracy literacy activities in the form of providing props in the form of number cards, pattern cards, and number paper, 3) students' ability to work on reading literacy and numeracy literacy questions after receiving GASING-themed literacy activities as seen from the average percentage value of 78. 70%, and 4) understanding the material conveyed through GASING-themed literacy activities, the service team provides a quick and easy way to solve literacy problems, students are also enthusiastic when the service team conveys the material, students also feel that the service team is guiding students in solving problems, students also feel excited in participating in activities, students feel interested in this activity and are willing to take part in similar activities. This indicates that this activity is beneficial for students and motivates students in learning to develop their literacy skills.