Judul: PErbandingan Ciri-ciri Wanita Kawin Usia 15-49 Tahun di Kabupaten Cilacap dan Banyumas Berdasarkan Tingkat PArtisipasi Keluarga Berencana (TPKB)
Abstrak: Tujuan penelitian ini adalah membandingkan ciri-ciri wanita kawin berumur 15-49 tahun di Kabupaten Cilacap yang mempunyai TPKB rendah dan Kabupaten Banyumas yang mempunyai TPKB tinggi. Ciri-ciri yang dibahas antara lain: Umur wanita, jumlah anak yang masih hidup, pendidikan wanita, pendidikan suaminya, pengetahuan tentang alat/cara kontrasepsi, penerimaan medai informasi/komunikasi, status pekerjaan wanita dan jenis pekerjaan suami.
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Judul: Keikutsertaan Pasangan Usia Subur dalam Program Keluarga Berencana pada Saat Krisis Ekonomi di Desa Tlajung Udik, Kecamatan Gunung Putri, Kabupaten Bogor
Abstrak: Tujuan umum penelitian ini adalah untuk mempelajari keikutsertaan pasangan usia subur dalam program Keluarga Berencana pada saat krisis ekonomi. Secara khusus tujuan penelitian ini adalah untuk : 1) Mempelajari faktor internal (umur istri, pendidikan istri, jumlah anak, pendapatan keluarga, pengetahuan KB dan sikap KB) dan faktor eksternal (sumber informasi dan tempat pelayanan KB) pasangan usia subur, 2) Mempelajari jenis kontrasepsi dan tempat pelayanan KB sebelum dan pada saat krisis ekonomi,3 ) Mempelajari faktor-faktor yang mempengaruhi keikutsertaan PUS dalam program KB pada saat krisis ekonomi. Penelitian dilakukan di Desa Tlajung Udik, Kecamatan Gunung Putri, Kabupaten Sogor, Propinsi Jawa Barat pada bulan Agustus sampai dengan September 1999. Unit contoh dalam penelitian ini adalah pasangan usia subur (usia istri 15-49 tahun dan masih mendapat haid), memiliki satu orang anak atau lebih dan pernah mengikuti program KB (menggunakan alat kontrasepsi). Selanjutnya pemilihan unit contoh dalam populasi dipilih secara acak sederhana dengan jumlah contoh 35 PUS yang suaminya PHK (kelompok PHK) dan 35 PUS yang suaminya tidak PHK (kelompok Non PHK).
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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