Elliptic divisibility sequences over the Edwards model of elliptic curves

AbstrakPenelitian ini dilatarbelakangi oleh menguatnya wacana mengenai pentingnya perlindungan data pribadi dan terbitnya Peraturan Menteri Komunikasi dan Informatika Nomor 20 Tahun 2016 tentang Perlindungan Data Pribadi dalam Sistem Elektronik. Adapun tujuan penelitian adalah untuk mengetahui kinerja implementasi Peraturan Menteri tersebut di lingkungan Pemerintah Kabupaten. Penelitian dilakukan di Dinas Kependudukan dan Pencatatan Sipil pada Pemerintah Kabupaten Gianyar, Temanggung, dan Sleman dengan menggunakan metode studi kasus, sedangkan pengumpulan data menggunakan teknik studi pustaka, wawancara, dan observasi. Pembahasan dilakukan dengan menggunakan konsep implementasi model Edwards yang melihat implementasi berdasarkan variabel komunikasi, sumber-sumber, kecenderungan-kecenderungan, dan struktur birokrasi. Hasil penelitian menunjukkan bahwa penyelenggaraan administrasi kependudukan yang di dalamnya termasuk perlindungan data pribadi oleh Dinas Kependudukan dan Pencatatan Sipil merujuk pada Peraturan Menteri Dalam Negeri Nomor 61 Tahun 2015, sedangkan Peraturan Menteri Komunikasi dan Informatika Nomor 20 tahun 2016 sama sekali belum mereka ketahui. AbstractThis research is motivated by the strengthening of discourse regarding the importance of protecting personal data and the issuance of Minister of Communication and Information Regulation No. 20 of 2016 concerning Protection of Personal Data in Electronic Systems. The research objective is to determine the performance of the implementation of the Ministerial Regulation within the District Government. The study was conducted at the Department of Population and Civil Registration at the Government of the Regency of Gianyar, Temanggung, and Sleman by using a case study method, while data collection using literature study techniques, interviews, and observations. The discussion was carried out using the concept of implementation of Edwards model that looked at implementation based on communication variables, sources, trends, and bureaucratic structure. The results showed that the administration of population administration which included the protection of personal data by the Population and Civil Registry Office referred to the Minister of Home Affairs Regulation No. 61 of 2015, while the Minister of Communication and Information Regulation No. 20 of 2016 was completely unknown to them.

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The Joint Universality for L-Functions of Elliptic Curves

Nonlinear Analysis Modelling and Control ◽

10.15388/na.2004.9.4.15148 ◽

2004 ◽

Vol 9 (4) ◽

pp. 331-348

Author(s):

V. Garbaliauskienė

Keyword(s):

Elliptic Curves ◽

Rational Numbers ◽

Joint Universality ◽

Universality Theorem ◽

Joint Universality Theorem

A joint universality theorem in the Voronin sense for L-functions of elliptic curves over the field of rational numbers is proved.

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New Countermeasures Against Side-Channel Attacks for Cryptography on Elliptic Curves

Telecommunications and Radio Engineering ◽

10.1615/telecomradeng.v65.i10.40 ◽

2006 ◽

Vol 65 (10) ◽

pp. 913-922

Author(s):

Ya. N. Imamverdiev

Keyword(s):

Elliptic Curves ◽

Side Channel ◽

Side Channel Attacks

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Information technology. Security techniques. Cryptographic techniques based on elliptic curves

10.3403/03121147u ◽

2015 ◽

Keyword(s):

Information Technology ◽

Elliptic Curves ◽

Information Technology Security ◽

Cryptographic Techniques

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PERSPECTIVES OF ELLIPTICAL CRYPTOGRAPHY TO ENSURE THE INTEGRITY AND CONFIDENTIALITY OF INFORMATION

Visnyk Universytetu “Ukraina” ◽

10.36994/2707-4110-2019-2-23-26 ◽

2019 ◽

Author(s):

Anna ILYENKO ◽

Sergii ILYENKO ◽

Yana MASUR

Keyword(s):

Information Systems ◽

Elliptic Curve ◽

Elliptic Curves ◽

Finite Fields ◽

Computational Efficiency ◽

Digital Signature ◽

Discrete Logarithm ◽

Algebraic Groups ◽

Schnorr Signature ◽

Stability Of Algorithms

In this article, the main problems underlying the current asymmetric crypto algorithms for the formation and verification of electronic-digital signature are considered: problems of factorization of large integers and problems of discrete logarithm. It is noted that for the second problem, it is possible to use algebraic groups of points other than finite fields. The group of points of the elliptical curve, which satisfies all set requirements, looked attractive on this side. Aspects of the application of elliptic curves in cryptography and the possibilities offered by these algebraic groups in terms of computational efficiency and crypto-stability of algorithms were also considered. Information systems using elliptic curves, the keys have a shorter length than the algorithms above the finite fields. Theoretical directions of improvement of procedure of formation and verification of electronic-digital signature with the possibility of ensuring the integrity and confidentiality of information were considered. The proposed method is based on the Schnorr signature algorithm, which allows data to be recovered directly from the signature itself, similarly to RSA-like signature systems, and the amount of recoverable information is variable depending on the information message. As a result, the length of the signature itself, which is equal to the sum of the length of the end field over which the elliptic curve is determined, and the artificial excess redundancy provided to the hidden message was achieved.

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