Judul: Model spasial hubungan kedalaman air tanah dengan karakteristik fisik dan aktivitas penggunaan lahan di Kawasan JABODETABEK
Abstrak: Eksploitasi air untuk memnuhi kebutuhan hidup semakin meningkat dengan meningkatnya jumlah penduduk, aktivitas industri, pertanian, maupun aktivitas rumah tangga, sedangkan potensi air permukaan semakin langka dan tidak lagi dapat memenuhi kebutuhan tersebut baik dari segi jumlah maupun mutunya. Untuk memenuhi kebutuhan tersebut maka digunakan air tanah, namun karena perubahan lingkungan, pengisian air tanah terus menurun. Akibatnya energi untuk memperoleh air semakin meningkat, biaya hidup semakin mahal, dan daya saing ekonomi semakin melemah. Penelitian yang dapat mengetahui faktor-faktor yang terkait dengan kedalaman air tanah menjadi semakin penting untuk dilakukan. Dengan mengetahui faktor-faktor tesebut dapat dilakukan pengendalian kedalaman air tanah.
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Judul: Model Spasial Prediksi Variasi Kedalaman Air Tanah antar Kabupaten/Kota untuk Mendukung Kebijakan Nasional Penataan Ruang
Abstrak: Ekploitasi air untuk kebutuhan hidup semakin meningkat dengan meningkatnya jumlah penduduk, aktivitas industri, pertanian, maupun aktivitas rumah tangga, sedangkan potensi air permukaan semakin langka dan tidak lagi dapat memenuhi kebutuhan tersebut baik dari segi jumlah maupun mutunya. Untuk memenuhi kebutuhan tersebut maka digunakan air tanah, namun karena perubahan lingkungan, pengisian air tanah terus menurun. Akibatnya energi untuk memperoleh air semakin meningkat, biaya hidup semakin mahal dan daya saing ekonomi semakin melemah. Penelitian yang dapat mengetahui faktor-faktor yang terkait dengan kedalaman air tanah menjadi semakin penting untuk dilakukan. Dengan mengetahui faktor-faktor tersebut dapat dilakukan pengendalian kedalaman air tanah. Penelitian ini bertujuan untuk menganalisis hubungan konfigurasi spasial karakteristik fisik dan aktivitas penggunaan lahan dengan konfigurasi spasial kedalaman air tanah di wilayah INDONESIA. Metode pendekatan yang digunakan adalah permodelan spasial. Parameter model diestimasi dengan metode General Regression Model. Unit lokasi pengamatan adalah unit administrasi kab / kota di seluruh INDONESIA yang terdiri dari 376 kab / kota.
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Judul: Algorithm Construction of HLI Hash Function
Abstrak: Cryptography is a study of mathematical techniques related to aspects of information security regarding on confidentiality, data integrity, entity authentication, and data origin authentication. Data integrity is a service, which is associated with the conversion of data carried out by unauthorized parties. To maintain data integrity, one can use hash functions. An hash function is a computationally efficient function to map an arbitrary length bitstring to a fixed length bitstring called as hash value. The use of hash function in maintaining the information integrity and authentication is in digital signatures, virus protection, and software distribution. Illustration of the hash function in the integrity and authentication of information that is emailed as follow. The sender sends the information and hash value to the recipient. If the hash value of the information is equal to the hash value that is sent by the sender, then information has not been changed. Otherwise the information has been changed. An hash function has two properties, one way and collision resistance. An hash function is called one way if it is computationally infeasible to find any input such that when given any hash value . Meanwhile an hash function is called collision resistant if it is computationally infeasible to find any two inputs where such that . The purpose of this study is to construct a HLI hash function algorithm, to analyze the speed and security of the hash functions as a results of construction. Furthermore, it is to compare it with SWIFFT. Hash function is constructed based on the result of algebraic operations on modular polynomial ringwith . Modular polynomial ring noted as is a set of all polynomials of degree at most with coefficients in . can be represented as a set of integer vector of modulo in dimension . So, it is simple to implement in a computer. In vector operations, is lattice . Furthermore, alattice that is defined from certain polynomial ring is called ideal lattice. HLI hash function is consists of addition and multiplication algorithm in the ring. Addition algorithm consists of sumation operations of modulo and multiplication consists of multiplication operations of modulo . Generally, algorithm of HLI hash function consists of multiplication operations of modulo and addition operations of modulo . However, if the input is binary number then multiplication algorithm only consists of multiplication operation of modulo , so algorithm of HLI hash function consists of multiplication operations of modulo and addtion operations of modulo . An hash function is secured if it has two properties, i.e., one way and collision resistance. HLI hash function hash is one way, it is following the proof of Micciancio. It is has collision resistant because of polynomial is irreducible over and monic. Moreover, it is proved that for every unit vector , the vector is small vector. If the input of hash function is a binary number then HLI hash function only involves addition operations of modulo . So the time that used almost same with SWIFFT. The excellence of HLI hash function is the key size smaller than SWIFFT. This effect on
Keyword: hash function, modular polynomial ring, lattice