Judul: Mempelajari Ekstraksi Oleoresin dan Karakteristik Mutu Oleoresin dari Bagian Cabe Rawit ( Capsicum frutescens L.)
Abstrak: Penelitian ini bertujuan untuk mempelajari ekstraksi dan karakteristik mutu oleoresin dari bagian cabe rawit. Analisis yang dilakukan meliputi laju ekstraksi dan karakteristik sifat mutu oleoresin yang dihasilkannya.
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Judul: Ekstraksi Oleoresin Capsaicin dari Cabai Merah, Cabai Keriting, dan Cabai Rawit
Abstrak: Cabai memiliki berbagai kandungan yang berguna bagi tubuh. Zat aktif pada cabai disebut capsaicin. Zat ini yang berperan utama dalam memberi rasa pedas pada cabai. Dalam penelitian ini dilakukan pengolahan cabai dalam bentuk oleoresin. Ekstraksi dilakukan pada tiga jenis cabai dan tiga perlakuan. Yaitu cabai merah, cabai keriting, dan cabai rawit dengan perlakuan perulangan ekstraksi sebanyak satu kali, dua kali, dan tiga kali pada masing-masing cabai. Sebanyak 100 gram bahan ditambahkan kedalam pelarut etanol dengan perbandingan 1:5. Ekstraksi dilakukan dengan metode maserasi berpengaduk dengan kecepatan pengadukan 200 rpm, suhu 50oC, selama 4 jam. Analisis yang dilakukan adalah pengujian mutu oleoresin cabai yaitu penghitungan rendemen, kadar capsaicin, kadar sisa pelarut, tingkat kepedasan dan nilai warna. Hasil penelitan menunjukan bahwa interaksi antara jenis cabai dan jumlah perulangan ekstraksi tidak berpengaruh nyata terhadap hasil yang diperoleh. Namun cabai rawit menunjukan tingkat kepedasan, kadar capsaicin, dan rendemen yang sesuai dengan ketentuan yang telah ditentukan oleh EOA.
Keyword: Oleoresin, cabai, capsaicin

Judul: The Construction of Greedy SVP LLL Algorithm
Abstrak: A lattice is a set of all integer linear combination of a set of linearly independent vectors in ℝ𝑛���. The independent vectors are called bases of lattice. Any lattice can be generated from many bases, and these bases have the same cardinality. In the lattice, the most fundamental and renowned problem is the Shortest Vector Problem (SVP). SVP is a tracking problem of the shortest nonzero vector in a lattice with equivalent bases. In two dimensions, SVP problem has resolved exactly by Gauss’ algorithm. When the lattice dimension is higher than two, A.K. Lenstra, H.W. Lenstra and L. Lovasz gave a LLL algorithm to compute approximation of nonzero shortest vector in the lattice. Reduced bases solution obtained from LLL algorithm still be an approximation and has polynomial running time of arbitrary dimension which large enough. In 1994, Schnoor and Euchner modified this LLL algorithm as a new variant which later was named deep insertion LLL algorithm. This algorithm is a modified version of the LLL algorithm to the terms of the exchange step to improve the accuracy of output of LLL reduced bases and applying it to the subset sum problem. The purpose of this research are: (1) Reconstruct the LLL algorithm and deep insertion LLL algorithm using a geometric approach. (2) Construct a greedy SVP LLL algorithm. (3) Implement the three algorithms in a symbolic programming language, and evaluate them experimentally. A bases ℬ=[𝐛���1,𝐛���2,…,𝐛���𝑛���] in ℝ𝑚��� is called reduced LLL with parameter 𝛿��� if satisfies: (a) |𝜇���𝑗���𝑖���|≤12, for every integer 𝑖���,𝑗��� with 1≤𝑖���<𝑗���<𝑛���. (b)𝛿���‖𝜋���𝑗���(𝐛���𝑗���)‖2≤‖𝜋���𝑗���(𝐛���𝑗���+1)‖2, for 𝑗���=1,2,…,𝑛���−1,where 𝛿��� is a reduced parameter of real numbers with 14<𝛿���<1. The first requirement is the reduced basis 𝛿��� must “nearly orthogonal” and in its computation case, this requirement can be reached out by using the Gram-Schmidt’s orthogonalization. While the second requirement is called exchange step, or used to called as Lovasz condition. By using both of these requirements, then they establish the LLL algorithm. Then, Schnoor and Euchner modify the LLL algorithm based on the requirements of the exchange step called the deep insertion LLL algorithm, where the exchange step is based on the comparison of the projected vector in orthogonal complement [𝐛���1,𝐛���2,…,𝐛���𝑘���−1]⊥ after j-th reduction. To construct greedy SVP LLL algorithm, the requirements of the exchange step is based on purely by comparing norm of lattice 𝐛���𝑗��� with norm lattice 𝐛���𝑖��� for 𝑖���=1,2,3…,𝑗���−1. The process of insertion reduced vector after the exchange step also has done greedily. Then, we calculate the number of arithmetic operation in greedy SVP LLL algorithm for further analysis. The result of our exprimentation for three algorithms on the certain matrix size shows that the running time of the three algorithms increases propotional to the size of the matrix. The result also shows that by using 𝛿���=34 for the LLL algorithm and the deep insertion LLL algorithm, and the greedy SVP LLL algorithm which is a new variant made by using no parameter of 𝛿���, outperform of the other of two previous algorithm in terms of speed with the same output.
Keyword: LLL algorithm, LLL deep insertion algorithm, greedy SVP LLL algorithm