Linear quasi-cyclic product codes over finite fields are investigated. Given the generating set in the form of a reduced Gröbner basis of a quasi-cyclic component code and the generator polynomial of a second cyclic component code, an explicit expression of the basis of the generating set of the quasicyclic product code is given. Furthermore, the reduced Gröbner basis of a one-level quasi-cycli...

Countercurrent immunoelectrophoresis was used to assay bloodmeals to determine the hostspecificity of Anopheles culicifarics species-A and B, collected from areas in Delhi, Uttar piadesh and Bihar. Results indicated the-predominantly zoophagic nature of species A and B with " r.t"tiullv higher degree of anthropophagy for species A. Furth-er, the human blood index was found to be relatei to the ...

In 1933 a family of skew Hadamard difference sets was described by Paley using matrix language and was called the Paley–Hadamard difference sets in the literature. During the last 70 years, no new skew Hadamard difference sets were found. It was conjectured that there are no further examples of skew Hadamard difference sets. This conjecture was proved to be true for the cyclic case in 1954, and...

Two bounds on the minimum distance of cyclic codes are proposed. The first one generalizes Roos bound by embedding given code into a product code. second also uses code, namely non-zero-locator but is not directly related to and it special case bound.

Magnetic resonance velocity mapping by the field even echo rephasing sequence was used to provide two dimensional velocity profiles in the ascending and the descending aorta. Flow patterns were studied in ten healthy volunteers by a display method that gave clear details of the profiles. Velocity profiles in the ascending aorta were skewed in systole with an axis of skew roughly symmetrical abo...

A Z2Z4-additive code C ⊆ Z α 2 × Z β 4 is called cyclic if the set of coordinates can be partitioned into two subsets, the set of Z2 and the set of Z4 coordinates, such that any simultaneous cyclic shift of the coordinates of both subsets leaves invariant the code. These codes can be identified as submodules of the Z4[x]-module Z2[x]/(x − 1)×Z4[x]/(x −1). Any Z2Z4-additive cyclic code C is of t...

The torsion of every metric connection on a Riemannian manifold has three components: one totally skew-symmetric, vectorial type and twistorial type, which is also called the traceless cyclic component. In this paper we classify complete simply connected manifolds carrying whose parallel, nonzero component vanishing

Abstract In this note, we provide a short proof of Theorem 4.3 in the paper titled Crystals, semistandard tableaux and cyclic sieving phenomenon , by Y.-T. Oh E. Park, which concerns on semi-standard Young tableaux. We also extend their result to skew shapes.