Judul: Aktivitas anitimikroba madu monoflora dan multiflora
Abstrak: Berbagai laporan telah membuktikan bahwa madu memiliki potensi besar dalam menghambat dan mematikan mikroba. Hal ini diperkirakan ketika proses evolusi berlangsung dimana banyak tekanan-tekanan selektif yang dialami oleh lebah madu inenyebablcan dibuatnya mekanisme pertahanan yang akhirnya menjadi sistem antimilcroba pada madu.
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Judul: Aktivitas Antibakteri Non-peroksida Madu Hutan Sumbawa dan Madu Manuka.
Abstrak: Penelitian ini bertujuan untuk menganalisis fisikokimia dan menetapkan aktivitas antibakteri 2 jenis madu hutan Sumbawa (MHS) dan madu Manuka (MNK) murni dan non-peroksida terhadap bakteri Staphylococcus aureus (SA), Salmonella typhi (ST), Escherchia coli (EC), dan Staphylococcus epidermidis (SE). Fitokimia madu dianalisis secara kualitatif. Madu non-peroksida dibuat dari penambahan enzim katalase. Pengujian antibakteri dilakukan dengan metode cakram. Hasil penelitian menunjukkan kadar air dan Activity water (aw) madu MHS-1, MHS-2, dan MNK berturut-turut adalah 24.9%, 23.8%, dan 20.6% serta 0.578, 0.582, dan 0.565. Warna, rasa, dan aroma setiap jenis madu berbeda-beda. MHS-1, MHS-2, maupun madu Manuka teridentifikasi positif mengandung senyawa aktif golongan saponin, alkaloid, fenolik, flavonoid, dan triterpenoid dengan beragam intensitas pada setiap jenis madu. Pada konsentrasi 50%, madu MHS-1 dan MHS-2 murni maupun non-peroksida memiliki aktivitas antibakteri pada bakteri EC dan ST yang tergolong sangat kuat dan SA serta SE yang tergolong sedang. MNK memiliki aktivitas antibakteri yang lebih baik terhadap EC, ST, dan SA dibandingkan dengan MHS-1 dan MHS-2, tetapi MNK tidak memiliki aktivitas antibakteri SE. Aktivitas antibakteri murni pada ketiga madu lebih tinggi ± 14% daripada aktivitas antibakteri madu non-peroksidanya.
Keyword: antibakteri, hidrogen peroksida, madu hutan Sumbawa, madu manuka

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