Judul: Industri Kecil dan Rumahtangga, Tinjauan terhadap Karakteristik dan Idealisasinya sebagai Agen Pembaru di Pedesaan (Studi Kasus Desa Cikeas, Kecamatan Kedunghalang, Kabupaten Bogor, Jawa Barat)
Abstrak: Proses industrialisasi yang antara lain telah menyebabkan adanya berbagai bentuk penetrasi dari luar ke dalam desa, pada gilirannya menyebabkan perubahan struktural yang melemahkan sendi-sendi kelembagaan desa. Peningkatan produktivitas tanah yang dicapai dengan berbagai bentuk teknologi pertanian turut memberikan andil dalam mempertajam spektrum ketidakmerataan di desa, yang pada awalnya hanya terbatas pada segi ketidakmerataan atas penguasaan tanah menjadi meluas kepada segi ketidakmerataan kesempatan turut serta dalam penggarapan tanah yang dengan demikian memberikan arti pula pada distribusi pendapatan.
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Judul: Deindustrialisasi Pedesaan (Studi Kasus Desa Curug Bintang, Kecamatan Nanggung, Kabupaten Bogor, Propinsi Jawa Barat)
Abstrak: Penelitian ini mempergunakan konsep deindustrialisasi yang diartikan oleh peneliti sebagai kebalikan dari proses industrialisasi. Pada proses industrialisasi akan terjadi transformasi dari masyarakat pertanian ke masyarakat industrial dan juga adanya peralihan modal dari kota ke desa. Transformasi yang dimaksud adalah transformasi ekonomi (mata pencaharian utama) terkait dengan pemikiran bahwa sisem ekonomi merupakan cultural fokus suatu masyarakat. Pada proses tersebut masyarakat pertanian yang memiliki mata pencaharian utama bertani akan terpengaruh keberadaan industri sehingga mata pencaharian utama penduduk adalah di bidang industri. Sedangkan proses deindustrialisasi berarti proses yang terjadi akibat pengaruh keberadaan industri dimana transformasi justru dari masyarakat industrial ke masyarakat pertanian. Proses tersebut dapat dilihat dari perubahan mata pencaharian utama penduduk yanng semula di bidang industri berubah menjadi bidang pertanian.
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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