A Matrix PRNG with S-Box Output Filtering

We describe a modification to a previously published pseudorandom number generator improving security while maintaining high performance. The proposed generator is based on the powers of a word-packed block upper triangular matrix and it is designed to be fast and easy to implement in software since it mainly involves bitwise operations between machine registers and, in our tests, it presents excellent security and statistical characteristics. The modifications include a new, key-derived s-box based nonlinear output filter and improved seeding and extraction mechanisms. This output filter can also be applied to other generators.

Random exams using Sweave

The adaptation of the Spanish University to the European Higher Education Area (EEES in Spanish) demands the integration of new tools and skills that would make the teaching- learning process easier. This adaptation involves a change in the evaluation methods, which goes from a system where the student was evaluated with a final exam, to a new system where we include a continuous evaluation in which the final exam may represent at most 50% in the vast majority of the Universities. Devising a new and fair continuous evaluation system is not an easy task to do. That would mean a student’s’ learning process follow-up by the teachers, and as a consequence an additional workload on existing staff resources. Traditionally, the continuous evaluation is associated with the daily work of the student and a collection of the different marks partly or entirely based on the work they do during the academic year. Now, small groups of students and an attendance control are important aspects to take into account in order to get an adequate assessment of the students. However, most of the university degrees have groups with more than 70 students, and the attendance control is a complicated task to perform, mostly because it consumes significant amounts of staff time. Another problem found is that the attendance control would encourage not-interested students to be present at class, which might cause some troubles to their classmates. After a two year experience in the development of a continuous assessment in Statistics subjects in Social Science degrees, we think that individual and periodical tasks are the best way to assess results. These tasks or examinations must be done in classroom during regular lessons, so we need an efficient system to put together different and personal questions in order to prevent students from cheating. In this paper we provide an efficient and effective way to elaborate random examination papers by using Sweave, a tool that generates data, graphics and statistical calculus from the software R and shows results in PDF documents created by Latex. In this way, we will be able to design an exam template which could be compiled in order to generate as many PDF documents as it is required, and at the same time, solutions are provided to easily correct them.

Cabecera cuadrada renacentista con bóveda pseudo-esférica cruzada en la iglesia Santiago de Orihuela (Alicante)

Jerónimo Quijano fue uno de los ilustres arquitectos destacados del Renacimiento pleno en España. Su obra, la iglesia de Santiago en Orihuela -Alicante- posee una Capilla Mayor renacentista, de carácter funerario, de planta central y adosada a una nave gótica. Destaca su bóveda superior de 4 pares de arcos entrecruzados y revirados. Al ser dobles se reduce la superficie central de plementería y se gana en resistencia. Es de complicada geometría esférica y cuadrada a la vez: bóveda pseudo-vaída (esférica solo hasta los arcos exteriores) y plementería lateral adaptándose a la planta cuadrada. Supone la fusión de la antigüedad clásica con la tradición hispanomusulmana. Como referencia, se estudia sucintamente la Capilla Benavides en Baeza - Jaén-, obra de Andrés de Vandelvira e incluida en el tratado de arquitectura de su hijo Alonso, la cual plantea un gran espacio cuadrado cubierto por una bóveda vaída y reforzada por 4 arcos entrecruzados.