Judul: Livelihood Structure and Resilience Farm Household Around Ciremai Mountain National Park
Abstrak: Penelitian ini bertujuan untuk menganalisis struktur nafkah rumahtangga petani dan pengaruhnya terhadap resiliensi rumahtangga petani di Desa Seda, Kecamatan Mandirancan, Kabupaten Kuningan. Struktur nafkah dalam penelitian ini terdiri dari struktur nafkah farm, struktur nafkah non-farm, dan struktur nafkah non-timber forest product (NTFP). Penelitian ini menggunakan metode kuantitatif dengan pendekatan survei melalui instrumen kuesioner dan metode kualitatif dengan metode wawancara mendalam. Hasil penelitian ini menjelaskan bahwa struktur nafkah rumahtangga petani didominasi oleh struktur nafkah farm. Resiliensi rumahtangga petani mayoritas mempunyai tingkat resiliensi yang lambat. Struktur nafkah mempunyai pengaruh terhadap tingkat resiliensi rumahtangga petani. Pendapatan dari non-farm dan non-timber forest product mempunyai peran dalam membangun resiliensi rumahtangga petani.
Keyword: Bogor Agricultural University, Institut Pertanian Bogor, IPB, livelihood structure, resilience, farm household, Human ecology, Livelihood strategy, Forest product, Human capital, Natural capital, Social capital

Judul: Analisis Resiliensi Nafkah Rumahtangga Petani Hutan Rakyat
Abstrak: Penelitian ini dilaksanakan di Kabupaten Wonosobo, Jawa Tengah, khususnya di Desa Kalimendong dan Desa Besani, Kecamatan Leksono. Penelitian ini bertujuan untuk melihat bagaimana struktur dan strategi nafkah rumahtangga petani. Penelitian ini juga menganalisis modal nafkah yang dimiliki dan dimanfaatkan oleh rumahtangga petani terhadap resiliensi rumahtangga petani. Metode yang digunakan dalam penelitian ini adalah metode kuantitatif dan didukung dengan metode kualitatif. Metode kuantitatif melakukan pendekatan survei dengan menggunakan kuesioner. Sedangkan untuk metode kualitatif menggunakan metode wawancara mendalam. Pendekatan lain yang digunakan adalah melalui obervasi lapang di lokasi penelititan. Hasil penelitian menunjukan bagaimana struktur, strategi nafkah rumahtangga petani, pengaruh modal nafkah terhadap tingkat resiliensi, dan faktor-faktor yang mempengaruhi tingkat resiliensi rumahtangga petani di kedua desa. Faktor yang mempengaruhi tingkat resiliensi di Desa Kalimendong yaitu modal sosial, modal finansial (tingkat pinjaman dan pendapatan kayu), modal fisik (asset produksi dan asset non produksi). Sedangkan faktor yang mempengaruhi tingkat resiliensi rumahtangga petani di Desa Besani yaitu modal manusia, modal sosial, dan modal fisik (asset produksi).
Keyword: struktur nafkah, strategi nafkah, modal nafkah, resiliensi

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