Judul: Kajian Media Produksi Enzim Pektinase Pada Fermentasi Media Padat Oleh Kapang
Abstrak: pada penelitian ini dilakukan pengujian untuk melihat jenis mineral yang dapat memberikan aktifitas enzim pektinase yang tinggi pada fermentasi media padat menggunakan ampas tapioka sebagai media. Untuk itu digunakan tiga jenis mineral yaitu mineral-1 yang komponennya terdiri dari mineral-mineral mikro; mineral-2 komponennya terdiri dari mineral-mineral makro dan mineral-3 komponennya merupakan gabungan dari komponen mineral mikro dan makro. Dalam hubungannya dengan mineral, pada media fermentasi juga ditambahkan dedak padi dengan variasi 0, 1, 3, 5, dan 7%.
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Judul: Produksi Enzim Pektinase oleh Aspergillus ustus pada Media Fermentasi Semi Padat Mengunakan Limbah Pertanian sebagai Substrat
Abstrak: Many types of enzyme are used in food manufacturing process, and pectinase is one of enzyme that is frequently used by many food industries. Pectinase can be fabricated by microorganism through fermentation process using pectin-containing-medium to boost metabolite production. The objective of this research is to determine the substrate from several agricultural wastes and to define the optimum condition of fermentation for pectinase production using Aspergillus ustus (involving substrate concentration, acidity of medium, and temperature of fermentation). There are four steps in this research including substrate preparation, analysis for substrate (pectin measurement and proximate analysis), pectinase production, and trial for optimum fermentating condition. The result shows that difference in fermentating condition will affect the activity of pectinase. The highest pectinase activity is 1.2751 U/mL and it originated from peel of Medanese tangerine. Optimum condition for pectinase production was using peel of Medanese tangerine as substrate in 10% concentration, pH 4, at temperature of 40oC.
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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