A method for robot indoor automatic positioning and orientating based on two-dimensional (2D) barcode landmark is proposed. By using the scheme of the 2D barcode for reference, a special landmark is designed which is convenient to operate and easy to recognize, contain coordinates of their absolute positions and have some ability to automatically correct errors. Landmarks are placed over the “c...

An efficient method for calculating the evolution of internal variables in an expanding hollow cylinder of rigid/plastic material is proposed. The conventional constitutive equations for rigid plastic, hardening material are supplemented with quite an arbitrary set of evolution laws for internal variables assuming that the material is incompressible. No restriction is imposed on the hardening l...

Instead of conformal to flat spacetime, we take the metric conformal to a spacetime which can be thought of as “minimally” curved in the sense that free particles experience no gravitational force yet it has non-zero curvature. The base spacetime can be written in the Kerr-Schild form in spherical polar coordinates. The conformal metric then admits the unique three parameter family of perfect f...

This paper presents a new model of ordinary elliptic curves with fast arithmetic over field of characteristic two. In addition, we propose two isomorphism maps between new curves and Weierstrass curves. This paper proposes new explicit addition law for new binary curves and prove the addition law corresponds to the usual addition law on Weierstrass curves. This paper also presents fast unified ...

We describe an efficient algorithm for the computation of isogenies between abelian varieties represented in the coordinate system provided by algebraic theta functions. We explain how to compute all the isogenies from an abelian variety whose kernel is isomorphic to a given abstract group. We also describe an analog of Vélu’s formulas to compute an isogeny with a prescribed kernel. All our alg...

Elliptic Curve Cryptosystems (ECCs) are utilized as an alternative to traditional publickey cryptosystems, and are more suitable for resource limited environments due to smaller parameter size. In this dissertation we carry out a thorough investigation of side-channel attack aware ECC implementations over finite fields of prime characteristic including the recently introduced Edwards formulatio...

We consider a novel 1-Dimensional representation of DNA, which is based on graphical representations of the 64 triplets of nucleic acids on the periphery of the unit circle. By using the polar coordinate of 64 codons (expressed in radians) four letter DNA sequence is transformed into a numerical sequence with no more than 64 different entries. By depicting the 1-Dim representation (plotted on z...

It is shown that two vectors with coordinates in the finite q-element field of characteristic p belong to same orbit under natural action symmetric group if each elementary polynomials degree pk,2pk,…,(q−1)pk, k=0,1,2,… has value on them. This separating set polynomial invariants for permutation representation not far from being minimal when q=p and dimension large compared p. A relatively smal...