Judul: Optimasi Uji Tetrazolium untuk Mendeteksi Viabilitas dan Vigor pada Benih Bengkuang (Pachyrrhizus erosus L.).
Abstrak: Penelitian ini bertujuan menentukan pola-pola pewarnaan embrio benih bengkuang pada uji tetrazolium untuk menentukan kriteria normal kuat, normal lemah, abnormal, dan mati dalam mendeteksi viabilitas dan vigor benih. Metode yang digunakan adalah perendaman benih bengkuang dalam akuades selama 18 jam dan perendaman dalam larutan tetrazolium selama 5 jam. Pengujian tetrazolium pada benih bengkuang menghasilkan 2 kriteria normal kuat, 4 normal lemah, 3 abnormal, dan 2 pola pewarnaan mati. Uji tetrazolium kriteria normal kuat memiliki nilai korelasi (r) yang tinggi dengan parameter kecepatan tumbuh (r = 1) dan indeks vigor (r = 0.99). Kriteria total normal memiliki korelasi yang tinggi dengan parameter daya berkecambah (r = 0.87) dan berat kering kecambah normal (r = 0.94). Kriteria benih hidup memiliki korelasi yang tinggi dengan parameter potensi tumbuh maksimum (r = 0.98). Kriteria total normal dan benih hidup pada uji tetrazolium dapat digunakan untuk mendeteksi viabilitas potensial dan kriteria normal kuat dapat digunakan untuk mendeteksi vigor benih.
Keyword: indeks vigor, kecepatan tumbuh, pola pewarnaan, uji cepat

Judul: Tetrazolium Test Stain Pattern Criteria for Vigor  Detection Cowpea Seed (Vigna unguiculata)
Abstrak: Pengujian viabilitas dan vigor benih dengan uji tetrazolium merupakan salah satu metode uji cepat dengan mengevaluasi pola pewarnaan pada benih. Penelitian ini bertujuan menentukan pola pewarnaan benih kacang tunggak menggunakan uji tetrazolium untuk menentukan kriteria normal kuat, normal lemah, abnormal, dan mati. Penelitian terdiri atas dua percobaan. Percobaan pertama menggunakan rancangan kelompok lengkap teracak dengan faktor pertama adalah lama imbibisi (16 jam, 20 jam, 24 jam) dan faktor kedua adalah perendaman larutan tetrazolium (60 menit, 75 menit, 90 menit). Percobaan kedua menggunakan rancangan kelompok lengkap teracak dengan satu faktor yaitu empat taraf viabilitas. Percobaan pertama menghasilkan waktu imbibisi selama 20 jam dan perendaman tetrazolium selama 75 menit sebagai waktu yang optimal untuk benih kacang tunggak. Percobaan kedua menghasilkan 20 pola pewarnaan yang dikelompokkan menjadi 4 kelompok, yaitu normal kuat 1 pola, normal lemah 4 pola, abnormal 5 pola, dan mati 10 pola. Nilai koefisien korelasi (r) tertinggi pada tolok ukur kecepatan tumbuh dengan normal kuat sebesar r = 0,78. Tolok ukur indeks vigor menunjukkan keeratan nyata dan tolok ukur kecepatan tumbuh menunjukkan keeratan yang sangat nyata dengan normal kuat. Pola pewarnaan yang diperoleh dapat digunakan untuk pendeteksian vigor benih kacang tunggak., Testing the viability and vigor of seeds with the tetrazolium test is one of the rapid test methods for evaluating staining patterns in seeds. This study aims to determine the coloring pattern of cowpea seeds using the tetrazolium test to determine the criteria of high vigor seedling, low vigor seedling, abnormal, and dead seed. The study consisted of two experiments. The first experiment used a randomized complete group design with the first factor being the length of imbibition (16 hours, 20 hours, 24 hours) and the second was soaking the tetrazolium solution (60 minutes, 75 minutes, 90 minutes). The second experiment used a randomized complete group design with one factor of four levels of viability. The first experiment resulted in an imbibition time of 20 hours and a tetrazolium soaking of 75 minutes as the optimal time for cowpea seeds. The second experiment produced 20 coloring patterns grouped into 4 groups, high vigor seedling 1 pattern, low vigor seedling 4 patterns, abnormal 5 patterns, and dead 10 patterns. The highest correlation coefficient (r) in the seed growth speed with high vigor seedlings is r = 0.78. The percentage of index vigor shows real closeness and the percentage of seed growth speed shows very real closeness with high vigor seedlings. The obtained staining pattern can be used for the vigor detection of cowpea seeds.
Keyword: mutu fisiologis, normal kuat, normal lemah, uji cepat

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