Judul: Potensi Invasif Trembesi (Samanea saman Jacq.) di Zona Rehabilitasi Taman Nasional Meru Betiri, Jawa Timur
Abstrak: Tumbuhan asing invasif merupakan tumbuhan yang hidup di luar habitat alaminya, tumbuh dengan pesat karena tidak mempunyai musuh alami sehingga menjadi gulma, hama, dan penyakit pada spesies-spesies asli. Trembesi merupakan salah satu spesies eksotik yang berpotensi invasif. Penelitian ini bertujuan mengidentifikasi komposisi dan struktur vegetasi dan mengidentifikasi potensi invasif trembesi (Samanea saman Jacq.) di zona rehabilitasi Taman Nasional Meru Betiri, Jawa Timur. Metode yang digunakan yaitu analisis vegetasi kombinasi jalur dan garis berpetak, diagram profil, serta sebaran titik sebaran trembesi dengan GPS. Berdasarkan penelitian didapat 2 spesies pada tingkat semai yaitu Samanea saman dan Aleurites moluccana, 2 spesies pada tingkat tiang yaitu Parkia timoreniana dan Alstonia scholaris, serta 6 spesies pada tingkat pohon yaitu Parkia timoreniana, Samanea saman, Aleurites moluccana, Pangium edule, Alstonia scholaris dan Parkia speciosa. Pola sebaran trembesi secara umum adalah seragam. Potensi invasif trembesi di Zona Rehabilitasi, Resort Andongrejo Taman Nasional Meru Betiri belum nampak terjadi dikarenakan tingkat regenerasinya relatif rendah.
Keyword: invasif, pola sebaran, taman nasional Meru Betiri, trembesi, zona rehabilitasi

Judul: Diversity and Distribution Patterns of Invasive Alien Species in Andongrejo Resort, Meru Betiri National Park
Abstrak: Spesies tumbuhan asing invasif (IAS) merupakan spesies tumbuhan yang tumbuh baik secara liar ataupun hasil introduksi di luar habitat alaminya yang keberadaannya dapat mengganggu spesies lokal. Introduksi spesies asing invasif di zona rehabilitasi dan penyebaran spesies yang tumbuh secara liar di Taman Nasional Meru Betiri berpotensi invasif. Penelitian ini bertujuan untuk mengidentifikasi komposisi vegetasi, keanekaragaman spesies tumbuhan asing invasif, dan pola sebaran tumbuhan asing invasif di Resort Andongrejo Taman Nasional Meru Betiri. Metode pengumpulan data yang dilakukan yaitu dengan analisis vegetasi, observasi lapang, dan studi literatur yang kemudian dianalisis secara kuantitatif. Berdasarkan hasil analisis spesies tumbuhan asing invasif yang terdapat di Resort Andongrejo teridentifikasi sebanyak 24 spesies memiliki pola sebaran mengelompok diantaranya pada zona rehabilitasi teridentifikasi 24 spesies dan zona rimba teridentifikasi 9 spesies dengan dominansi tertinggi pada spesies Chromolaena odorata dan Mikania micrantha., Invasive alien species (IAS) are plant species that grow either wild or introduced outside their natural habitat and whose presence can disturb local species. The introduction of invasive alien species in the rehabilitation zone of Meru Betiri National Park has the potential to be invasive. This research aims to do identify the composition of vegetation, the diversity of invasive alien species (IAS), and the distribution patterns of IAS at the Andongrejo Resort, Meru Betiri National Park. The data collection method used was vegetation analysis, field observation, and literature study which was then analyzed quantitatively. Based on the results of the analysis of IAS found at the Andongrejo Resort, 24 species were identified that had a clumped distribution pattern, including in the rehabilitation zone 24 species were identified and 9 species were identified in the jungle zone with the highest dominance being the species Chromolaena odorata and Mikania micrantha.
Keyword: Composition, clumped, invasive alien species

Judul: Algorithm Construction of HLI Hash Function
Abstrak: Cryptography is a study of mathematical techniques related to aspects of information security regarding on confidentiality, data integrity, entity authentication, and data origin authentication. Data integrity is a service, which is associated with the conversion of data carried out by unauthorized parties. To maintain data integrity, one can use hash functions. An hash function is a computationally efficient function to map an arbitrary length bitstring to a fixed length bitstring called as hash value. The use of hash function in maintaining the information integrity and authentication is in digital signatures, virus protection, and software distribution. Illustration of the hash function in the integrity and authentication of information that is emailed as follow. The sender sends the information and hash value to the recipient. If the hash value of the information is equal to the hash value that is sent by the sender, then information has not been changed. Otherwise the information has been changed. An hash function has two properties, one way and collision resistance. An hash function is called one way if it is computationally infeasible to find any input such that when given any hash value . Meanwhile an hash function is called collision resistant if it is computationally infeasible to find any two inputs where such that . The purpose of this study is to construct a HLI hash function algorithm, to analyze the speed and security of the hash functions as a results of construction. Furthermore, it is to compare it with SWIFFT. Hash function is constructed based on the result of algebraic operations on modular polynomial ringwith . Modular polynomial ring noted as is a set of all polynomials of degree at most with coefficients in . can be represented as a set of integer vector of modulo in dimension . So, it is simple to implement in a computer. In vector operations, is lattice . Furthermore, alattice that is defined from certain polynomial ring is called ideal lattice. HLI hash function is consists of addition and multiplication algorithm in the ring. Addition algorithm consists of sumation operations of modulo and multiplication consists of multiplication operations of modulo . Generally, algorithm of HLI hash function consists of multiplication operations of modulo and addition operations of modulo . However, if the input is binary number then multiplication algorithm only consists of multiplication operation of modulo , so algorithm of HLI hash function consists of multiplication operations of modulo and addtion operations of modulo . An hash function is secured if it has two properties, i.e., one way and collision resistance. HLI hash function hash is one way, it is following the proof of Micciancio. It is has collision resistant because of polynomial is irreducible over and monic. Moreover, it is proved that for every unit vector , the vector is small vector. If the input of hash function is a binary number then HLI hash function only involves addition operations of modulo . So the time that used almost same with SWIFFT. The excellence of HLI hash function is the key size smaller than SWIFFT. This effect on
Keyword: hash function, modular polynomial ring, lattice