It is well known that Stickelberger-Swan theorem is very important for determining reducibility of polynomials over a binary field. Using this theorem it was determined the parity of the number of irreducible factors for some kinds of polynomials over a binary field, for instance, trinomials, tetranomials, self-reciprocal polynomials and so on. We discuss this problem for type II pentanomials n...

The mission of the Communications Signal Processing (CSP) Research Group (RG) operating within Centre for Wireless Communications (CWC) and Department of Communications Engineering (DCE) of Faculty of Information Technology and Electrical Engineering is to conduct world-class research, train world-class graduates, create new technology and IPRs, and support society by transferring technology to...

The convergence of columns in the univariate qd-algorithm to reciprocals of polar singularities of meromorphic functions has often proved to be very useful. Any q-column corresponding to a “simple pole of isolated modulus” converges to the reciprocal of the corresponding pole. By performing an equivalence transformation of the underlying corresponding continued fraction and programming the new ...

These days, Orthogonal Frequency Division Multiplexing (OFDM) is a more attractive technique used in wireless communication systems. It has high capacity of data transmission. The major disadvantage of OFDM is Peak to Average Power Reduction which arises mainly due to increase in number of sub-carriers. Partial transmit sequence (PTS) is one of the best technique among all the proposed techniqu...

At its foundations, Maxwell’s theory of Electrodynamics, like thermodynamics, is a topological theory independent from geometric constraints of metric, scales, or gauge symmetries. One of the most interesting features of Electromagnetism is its relationship to the transport of momentum and energy by means of photons. This article utilizes a topological perspective to discuss the classical featu...

We give new algorithms for the computation of square roots and reciprocals of power series in CJxK. If M(n) denotes the cost of multiplying polynomials of degree n, the square root to order n costs (1.333 . . .+o(1))M(n) and the reciprocal costs (1.444 . . .+o(1))M(n). These improve on the previous best results, respectively (1.8333 . . . + o(1))M(n) and (1.5 + o(1))M(n).

Various TeVeS-like and f(R)-like theories of gravity have added an interesting twist to the search for dark matter and vacuum energy, modifying the landscape of astrophysics day by day. A common thread of various theories is a non-uniform vector field fluid in the vacuum (see an up-to-date summary of relations between various theories by Halle, Zhao & Li, arXiv0711.0958 1). These ”alternative” ...

In introductory level electromagnetism courses the calculation of electrostatic potential and electric field in an arbitrary point is a very common exercise. One most viewed cases symmetry axis centered ring it has been widely studied off charged origin coordinate. this work, we calculated $z$ non using elliptic integrals as pedagogical example application special functions electromagnetism.