We study codes over a finite field F4. We relate self-dual codes over F4 to real 5-modular lattices and to self-dual codes over F2 via a Gray map. We construct Jacobi forms over Q( √ 5) from the complete weight enumerators of self-dual codes over F4. Furthermore, we relate Hilbert–Siegel forms to the joint weight enumerators of self-dual codes over F4. © 2004 Elsevier Ltd. All rights reserved.

We use the double affine Hecke algebra of type GLN to construct an explicit consistent system of q-difference equations, which we call the bispectral quantum Knizhnik-Zamolodchikov (BqKZ) equations. BqKZ includes, besides Cherednik’s quantum affine KZ equations associated to principal series representations of the underlying affine Hecke algebra, a compatible system of q-difference equations ac...

Starting from any two compactly supported refinable functions in L2(R) with dilation factor d, we show that it is always possible to construct 2d wavelet functions with compact support such that they generate a pair of dual d-wavelet frames in L2(R). Moreover, the number of vanishing moments of each of these wavelet frames is equal to the approximation order of the dual MRA; this is the highest...

We discuss an elementary procedure that allows us to construct dual pairs of wavelet frames based on certain dual pairs of Gabor frames and vice versa. The construction preserves tightness of the involved frames. Starting with Gabor frames generated by characteristic functions the construction leads to a class of tight wavelet frames that include the Shannon (orthonormal) wavelet, and applying ...

According to J.A.N. Lee in 1996, computer scientists “are reaching the stage of development where each new generation of participants is unaware both of their overall technological ancestry and the history of the development of their speciality, and have no past to build upon” [1, p.54]. A technically and historically accurate account, as attempted here, can help us, computer scientists, grasp ...

Common conceptions of the notions of role, relationship, and collaboration in object-oriented programming and related disciplines are briefly recalled and related to each other, working towards a view that allows it to fit them all together, eventually setting the cornerstones for the definition of a truly useful and widely accepted novel programming language construct.

For weakly regular bent functions in odd characteristic the dual function is also bent. We analyse a recently introduced construction of nonweakly regular bent functions and show conditions under which their dual is bent as well. This leads to the definition of the class of dual-bent functions containing the class of weakly regular bent functions as a proper subclass. We analyse self-duality fo...

Background: Various management protocols for ipsilateral neck/intertrochanteric and shaft fracture femur have been formulated, there many disagreements related to their ideal fixation plan. The aim of this study was discuss the various type system available such kind complex injuries advantages using dual construct system.
 Patient Methods: In present we prospectively evaluated in 7 cases ...