Judul: Pengaruh Pemberian Abu Volkan Erupsi Gunung Kelud dan Pupuk Kandang terhadap Beberapa Sifat Kimia Tanah Podsolik Merah Kuning Jasinga Serta Serapan P, K, Ca, dan Mg Tanaman Jagung (Zea mays L.)
Abstrak: Gunung Kelud merupakan volkan muda di Sub Zone Blitar, Jawa timur. Pada Bulan Januari 1990, gunung tersebut meletus dengan mengeluarkan jutaan meter kubik material. Pemanfaatan bahan erupsi gunung tersebut dalam usaha pengembangan pertanian belum dicoba, walaupun telah diyakini bahwa dalam jangka panjang dapat meningkatkan kesuburan tanah.
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Judul: Pengaruh media campuran abu volkan kelud dan kompos sampah kota terhadap tanaman jagung (Zea mays L.) pada podsolik merah kuning Jasinga
Abstrak: Penelitian dilaksanakan di rumah kaca dengan menggunakan pot-pot percobaan. Rancangan penelitian yang digunakan adalah rancangan faktorial dalam rancangan acak lengkap dengan tiga ulangan. Perlakuan yang digunakan adalah penambahan abu volkan Kelud dengan dosis: 0, 20, 40, dan 60 ton/ha; dan kompos sampah kota dengan dosis: 0, 30, 60, dan 90 ton/ha. Tanaman yang diuji adalah jagung (Zea mays L.) varietas Pioner. Pupuk dasar yang digunakan adalah Urea (46% N), TSP (46% P205) dan KC1 (60% K20) dengan dosis masing-masing 200 kg/ha. Hasil penelitian menunjukkan bahwa Pemberian abu volkan berpengaruh sangat nyata terhadap lingkar batang, berat kering tanaman bagian atas, berat kering akar jagung umur enam minggu, KTK tanah; berpengaruh nyata terhadap serapan unsur K tanaman jagung yaitu meningkat sebesar 15.78 persen dari 834.97 mg/pot menjadi 966.75 mg/pot, K- dd dan Na-dd tanah, tetapi tidak berpengaruh nyata terhadap tinggi tanaman, serapan unsur Ca dan Mg tanaman, PH tanah, Al-dd, Ca-dd dan Mg-dd tanah.
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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