Judul: Kajian Perubahan Suhu dan Konsentrasi Etilen terhadap Perubahn Fisiologi dan Mutu Buah Pepaya  Varietas IPB 1
Abstrak: Penyimpanan dingin dengan waktu dan suhu optimum dapat memperpanjang praklimakterik dan umur simpan buah papaya IPB 1. Pemberian etilen pada konsentrasi optimum selama pematangan buatan (artificial ripening) dapat memberiakn kecerahan warna dan kematangan yang seragam dengan rasa yang tidak berubah sampai ke konsumen. Penelitian ini bertujuan untuk: (1) menentukan suhu optimum penyimpanan papaya matang (full mature) sebelum pemeraman, dan (2) menentukan suhu pemeraman dan konsentrasi etilen untuk pematangan buah papaya. Penelitian dilaksanakan di Laboratorium Teknik Pengolahan Pangan dan Hasil Pertanian (TPPHP). Fakultas Teknologi Pertanian. IPB Bogor pada bulan November 2005 sampai Februari 2006. Penelitian dilakukan dalam dua tahap , yaitu: (1) tahap I untuk menentukan suhu optimum penyimpanan, dan (2) tahap II untuk menentukan suhu dan konsentrasi etilen pada pematangan buah papaya. Rancangan percobaan menggunakan RAL factorial denagn dua factor .
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Judul: Pengaruh Tingkat Ketuaan Terhadap Perubahan Mutu Buah Pepaya (Carica papaya L.) genotipe IPB 1 selama Penyimpanan dan Pematangan Buatan
Abstrak: Penyimpanan dingin diperlukan untuk mempertahankan mutu dan kesegaran buah pepaya hingga sampai ke tangan konsumen dalam keadaan baik. Untuk meningkatkan mutu juga dilakukan dengan pematangan buatan (artificial ripening) dengan menggunakan etilen sebagai trigger pada konsentrasi optimum agar diperoleh kecerahan warna, keseragaman kematangan dan menghindari rasa pahit pada saat buah berwarna merah. Selain itu, mutu buah pepaya juga ditentukan oleh stadia kematangan buah pada saat buah dipanen. Penelitian ini bertujuan untuk mengkaji tingkat ketuaan terhadap mutu buah pepaya genotipe IPB 1 selama penyimpanan dan pematangan buatan, menganalisis pengaruh suhu terhadap perubahan mutu buah pepaya selama penyimpanan dan pematangan buatan, menganalisis pengaruh lama penyimpanan terhadap mutu buah pepaya selama perlakuan penyimpanan dingin dan pematangan buatan, dan mengkaji perubahan fisik maupun kimia buah pepaya selama pematangan buatan.
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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