Judul: Laporan Survei Pengendalian Hama Terpadu Tanaman Cabai Pada Petani di Kecamtan Pabuaran dan Patokbeusi Kabupaten Subang Jawa Barat
Abstrak: Penelitian yang dilakukan bertujuan untuk mengetahui patogen mosaik pada bawang putih varietas lokal dan impor. Metode yang digunakan adalah penularan secara mekanik dengan mengoleskan cairan perasan bawang putih yang diberi bufer fosfat pH 7 (1:5 b/v) , pada daun tanaman indikator yang sebelumnya ditaburi Carborundum sebagai abrasif; sedangkan daun tanaman kontrol diolesi dengan air distilata. Daun tanaman indikator yang diinokulasi adalah daun terbawah (yang paling tua), tengah, dan pucuk. Tanaman indikator yang digunakan adalah Chenopodium murale, C. quinoa, C. amaranticolor, dan Gomphrena ylobosa.
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Judul: Uji kerentanan tiga varietas cabai merah (Capsicum annuum L.) terhadap virus mosaik ketimun
Abstrak: Laporan ini merupakan hasil penelitian di rumah kaca Jurusan Hama dan Penyakit Tumbuhan, Fakultas Pertanian, Institut Pertanian Bogor. Tujuan penelitian ini ialah untuk mengetahui pengaruh infeksi CMV-2 terhadap pertumbuhan dan hasil panen tanaman paprika (Capsicum annuum var grossum jenis PIP), cabai me- rah besar (C. annuum var longum jenis L. Surabaya) dan ca- bai merah keriting (C. annuum var longum jenis keriting). Penelitian dilakukan dengan menginokulasi tanaman yang ber- umur 45 hari dengan cairan perasan CMV-2 (1:10 b/v) yang berasal dari daun tembakau yang terinfeksi. Dari masing- masing varietas enam tanaman diinokulasi dengan CMV-2 dan enam tanaman kontrol. Rancangan penelitian yang digunakan adalah rancangan acak lengkap dan untuk membandingkan masing-masing perlaku- an digunakan uji beda nyata terkecil pada taraf uji 0.01 dan 0.05...
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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