In [8] Koblitz suggested to make use of a Frobenius expansion to speed up the scalar multiplications in the Jacobians of hyperelliptic curves over the characteristic 2 field. Recently, Günther et. al.[6] have modified Koblitz’s Frobenius expansion method and applied it to the Koblitz curves of genus 2 over F2 to speed up the scalar multiplication. In this paper, we show that the method given in...

Conjectures are given for Hilbert series related to polynomial invariants of finite general linear groups, one for invariants mod Frobenius powers of the irrelevant ideal, one for cofixed spaces of polynomials.

In this paper, we consider how to hide information into finite state machine (FSM), one of the popular computation models. The key advantage of hiding information in FSM is that the hidden information becomes inexpensive to retrieve, yet still hard to remove or delete. This is due to the fact that verifying certain FSM properties is easy, but changing them requires efforts equivalent to redoing...

Let R be a perfect ring of characteristic p. We show that the group of continuous R-linear automorphisms of the perfect power series ring over R is generated by the automorphisms of the ordinary power series ring together with Frobenius; this answers a question of Jared Weinstein.

Until 1993 “Archivio Monaldi” was an Italian scientific journal founded in Naples by Prof. Monaldi, one of the most famous phtisiologists in the last century. Then, Fondazione Salvatore Maugeri (FSM), a Scientific Institute devoted to rehabilitation of disabling illnesses, whether cardiovascular, respiratory or neuro-muscolar, took over the tradition of the old Monaldi [1]. As a result, the jou...

A formal analysis of the fault diagnosis capabilities of various FSM-based test sequence selection methods has been carried out’. It is shown’ that the Wp-method’ has the best faultresolution capability among all the known test sequence selection methods based on the FSM model when the implementation has at most one faulty transition. In this paper, we present a test sequence selection method w...

Elastic waves in materials with cylindrical orthotropy are considered, this being a plausible model for a wooden pole. For time-harmonic motions, the problem is reduced to some coupled ordinary di erential equations. Previously, these have been solved using the method of Frobenius (power-series expansions). Here, Neumann series (expansions in Bessel functions of various orders) are used, motiva...

We construct an extension (Stable Field Theory) of Cohomological Field Theory. The Stable Field Theory is a system of homomorphisms to some algebras generated by spheres and disks with punctures. It is described by a formal tensor series, satisfying to some system of ”differential equations”. In points of convergence the tensor series generate special noncommutative analogs of Frobenius algebra...

This paper suggests a reusable hardware template (HT) for finite state machines (FSM) and a method for the synthesis of FSMs based on such a template. The HT is a circuit with a predefined structure that has already been implemented in hardware (for example, in FPGA). By reprogramming its RAM-blocks we can implement a different functionality of the FSM. The proposed method permits the translati...

This paper proposes a state based approach to gesture learning and recognition. Using spatial clustering and temporal alignment, each gesture is defined to be an ordered sequence of states in spatial-temporal space. The 2D image positions of the centers of the head and both hands of the user are used as features; these are located by a color based tracking method. From training data of a given ...