Two-point coordinate rings for GK-curves

Giulietti and Korchm\'aros presented new curves with the maximal number of points over a field of size q^6. Garcia, G\"uneri, and Stichtenoth extended the construction to curves that are maximal over fields of size q^2n, for odd n >= 3. The generalized GK-curves have affine equations x^q+x = y^{q+1} and y^{q^2}-y^q = z^r, for r=(q^n+1)/(q+1). We give a new proof for the maximality of the generalized GK-curves and we outline methods to efficiently obtain their two-point coordinate ring.Comment: 16 page

Contested Meaning of the Nation-state Through Historical Border Narratives a Case Study of the Batang Kanyau Iban, West Kalimantan

Nation as a cultural-psychological phenomenon is best understood in terms of how a sense of nationhood operates in order to construct social identities or a social imagination about the modern nation-state (Anderson 1983). The forging of nationalism as a national identity cannot be seen in isolation of the rise of modernization and industrialization (Gellner 1987). Although the nation appears to be a modern phenomenon, Smith (1991) stresses that every nation preserves its own past historical artefacts, narratives, and symbols for present-day needs. This model needs to be elaborated further as it is insufficient to understand how a sense of nationhood operates among borderlanders of a state. This paper relates the story of Kalimantan\u27s Iban borderlanders who are officially registered as Indonesian subjects but live on the dividing line between two countries. This makes them appear to be ambiguous subjects who are torn between the two different historical timelines of British and Dutch colonial history (as well as postcolonial Malaysian-Indonesian history). They are marginalized in every aspect and are the forgotten subjects in the history of the broader picture of Indonesia\u27s so-called nationalism project. The explanation is twofold. The first explains how identity is constructed as multi-layered historical narratives involving local and national cultures, and second, how transnational borderlanders give meaning to nation as narrative. The primary data for this article were collected in 2002 through a series of interviews in the village of Benua Sadap, an Iban settlement on the Batang Kanyau River, close to the West Kalimantan (Indonesia) and Sarawak (Malaysia) borderline

Monomial embeddings of the Klein curve

AbstractThe Klein curve is defined by the smooth plane model X3Y+Y3Z+Z3X=0. We give all embeddings in higher dimension with a linear action of the automorphism group. The curve has 24 flexpoints, i.e. points where the tangent intersects with multiplicity three. For even characteristic, the embeddings yield interesting configurations of the flexpoints and good linear codes

PERLINDUNGAN HUKUM TERHADAP ALIRAN MENYIMPANG DI INDONESIA

During Soeharto’s adminitration which was called Orde Baru (New Orde) only five religions were admited by the government, they are Islam, Kristen Protestan, Kristen katolik, Hindu and Budha. But, since the era of the reformation in 1998, much faith has came up and developed in Indonesia, they are called “deviant” (aliran menyimpang). The existence of deviant in Indonesia, more due to different interpretations of the verses of the holy. It was also because the readings from different sources exegesis-commentaries. Efforts legal protection that has been done by the government in terms of addressing the emergence of deviant in Indonesia use two methods: by means of preventive and repressive.Keywords : Five Faith, Deviant