Abstract In this paper, we study the generalized order- Jacobsthal sequences modulo for and the generalized order-k Jacobsthal-Padovan sequence modulo for . Also, we define the generalized order-k Jacobsthal orbit of a k-generator group for and the generalized order-k Jacobsthal-Padovan orbit a k-generator group for . Furthermore, we obtain the lengths of the periods of the generalized order-3 ...

Journal of the Society for Industrial and Applied Mathematics. In June of 1960 the paper was published: five pages under the rather unpretentious title "Polynomial Codes over Certain Finite Fields" [17]. This paper described a new class of error-correcting codes that are now called Reed-Solomon codes. In the decades since their discovery, Reed-Solomon codes have enjoyed countless applications, ...

R, a dynamic scripting language designed for statistical computing, has grown in popularity in recent years. However, the low performance of R, due to inefficiencies in the interpretation, limits its usability. Our previous study classifies R programs into three types, including Type I (looping over data), Type II (vector programming), and Type III (glue codes). The most serious performance pro...

Linearization of the nonlinear equations and iterative solution is the most well-known scheme in many engineering problems. For geodetic applications of the LEO satellites, e.g. the Earth’s gravity field recovery, one needs to provide an initial guess of the satellite location or the so-called reference orbit. Numerical integration can be utilized for generating the reference orbit if a satelli...

This paper describes components of a branch-and-cut algorithm for solving integer linear programs having a large symmetry group. It describes an isomorphism pruning algorithm and variable setting procedures using orbits of the symmetry group. Pruning and orbit computations are performed by backtracking procedures using a Schreier-Sims table for representing the symmetry group. Applications to h...

We provide a geometric characterization of k -dimensional F q m -linear sum-rank metric codes as tuples -subspaces . then use this to study one-weight in the metric. This leads us extend family linearized Reed-Solomon order obtain doubly-extended version them. prove that these are still maximum distance (MSRD) and, when = 2 , they one-weight, Hamming-metric case. focus on constant rank-profile ...

satellite orbit determination is a method of determining the state vector, i.e., position and velocity, of a low earth orbiting (leo) satellite or interplanetary spacecraft. during the past two decades, many satellites with various applications including geodetic applications have been launched at low altitudes. for instance, topex / poseidon, champ, grace and goce are the examples of the geode...

abstract in this paper, we study the generalized order- jacobsthal sequences modulo for and the generalized order-k jacobsthal-padovan sequence modulo for . also, we define the generalized order-k jacobsthal orbit of a k-generator group for and the generalized order-k jacobsthal-padovan orbit a k-generator group for . furthermore, we obtain the lengths of the periods of the generalized order-3 ...