We extend the framework for studying the stopping redundancy of a linear block code by introducing and analyzing the stopping redundancy hierarchy. The stopping redundancy hierarchy of a code represents a measure of the trade-off between performance and complexity of iteratively decoding a code used over the binary erasure channel. It is defined as an ordered list of positive integers in which ...

Multirate systems are abundant in industry. In this paper, the problem studied is designing a residual generator for fault detection based on multirate sampled data. The key new feature of such a residual generator is that it operates at a fast rate for prompt fault detection. The design is based on optimizing a performance index to obtain an optimal parity space based residual generator. The l...

There is growing interest in the photo-induced generation of rectified current, namely photocurrent phenomenon. While response was attributed to noncentrosymmetric structures crystals, parity violation accompanied by magnetic ordering, that is, violation, recently attracting attention as a platform for generator. In this paper, we investigate current-ordered phase, realizing without spin degree...

We describe the implementation of supersymmetric processes in the HERWIG Monte Carlo event generator. We define relevant parameter and mixing conventions and list the hard scattering matrix elements. Our implementation is based on the Minimum Supersymmetric Standard Model, with the option of R-parity violation. The sparticle spectrum is completely general. Both hadron–hadron and lepton–lepton c...

In this work, we study a class of randomized weak pseudorandom functions, which we call weak PRFs with hidden auxiliary input (HIwPRF). Compared to Learning Parity with Noise (LPN) or Learning with Errors (LWE) based randomized weak PRFs, it provides less algebraic structure such that many known techniques and constructions do not translate to this class. We investigate the potential of HIwPRFs...

We construct new linear codes with high minimum distance d. In at least 12 cases these codes improve the minimum distance of the previously known best linear codes for fixed parameters n, k. Among these new codes there is an optimal ternary [88, 8, 54]3 code. We develop an algorithm, which starts with already good codes C , i.e. codes with high minimum distance d for given length n and dimensio...

Die aktuellen Veränderungen in der Finanzindustrie lösen nicht nur in der Finanzbranche weitreichende Veränderungen aus. Es wird stärker als bisher die Aufgabe der Unternehmen sein, dass die richtigen Mittel zum richtigen Zeitpunkt effizient eingesetzt werden. Denn die hohen finanziellen Belastungen beim Scheitern von IT-Projekten und Software-Entwicklungsprojekten können Unternehmen bis an den...

Algebraic structure of codes over Fq , closed under arbitrary abelian group G of permutations with exponent relatively prime to q, called G-invariant codes, is investigated using a transform domain approach. In particular, this general approach unveils algebraic structure of quasicyclic codes, abelian codes, cyclic codes, and quasi-abelian codes with restriction on G to appropriate special case...

HERWIG is a general-purpose Monte Carlo event generator, which includes the simulation of hard lepton-lepton, lepton-hadron and hadron-hadron scattering and soft hadron-hadron collisions in one package. It uses the parton-shower approach for initialand final-state QCD radiation, including colour coherence effects and azimuthal correlations both within and between jets. This article updates the ...