Abstract. As a generalization of cyclic codes of length p over Fpa , we study n-dimensional cyclic codes of length p1 ×· · ·×pn over Fpa generated by a single “monomial”. Namely, we study multi-variable cyclic codes of the form 〈(x1 − 1) i1 · · · (xn − 1) n〉 ⊂ Fq [x1,...,xn] 〈x ps1 1 −1,...,x psn n −1〉 . We call such codes monomial-like codes. We show that these codes arise from the product of ...

We provide a general analysis of time reversal invariance violation in the exclusive semileptonic B decays B → D`ν and B → D∗`ν. Measurements of the lepton and D∗ polarizations can be used to search for and identify non-standard model sources of T violation. Upper limits are placed on the T -odd polarization observables in both the supersymmetric R-parity conserving and R-parity breaking theori...

Advanced Encryption Standard (AES) is the symmetric key standard for encryption and decryption. In this work, a 128-bit AES encryption and decryption using Rijndael Algorithm is designed and synthesized using verilog code. The fault detection scheme for their hardware implementation plays an important role in making the AES robust to the internal and malicious faults. In the proposed AES, a com...

Quantum data are susceptible to decoherence induced by the environment and to errors in the hardware processing it. A future fault-tolerant quantum computer will use quantum error correction to actively protect against both. In the smallest error correction codes, the information in one logical qubit is encoded in a two-dimensional subspace of a larger Hilbert space of multiple physical qubits....

We study strategy improvement algorithms for solving parity games. While these algorithms are known to solve parity games using a very small number of iterations, experimental studies have found that a high step complexity causes them to perform poorly in practice. In this paper we seek to address this situation. Every iteration of the algorithm must compute a best response, and while the stand...

The HERA ep collider and the experiments H1 and ZEUS operated from 1994-2007. A total integrated luminosity of almost 1fb−1 was collected at centre-of-mass energies up to 320 GeV. Results from searches for leptoquarks and squarks, final states with an isolated lepton and missing transverse momentum and final states with multi-leptons are presented. The leptoquark limits are interpreted in terms...

A three-axis magnetometer based on the nonlinear magneto-optic effect is described. The magnetometer was used to measure the average (over the cell volume) residual magnetic field and to determine the shielding ratio of a multi-layer magnetic shield. The shot-noise-limited sensitivity of the magnetometer is estimated to be ≈10 Gs/Hz. A possible application to parity and time reversal invariance...

Macroscopic quantum superposition is an important embodiment of the core theory. The engineering macroscopic states key to communication and computation. Thus, we present a theoretical proposal engineer (MQS) Bose-Einstein condensate (BEC) via impurity atoms. We firstly propose deterministic generation scheme transient multi-component MQS BEC catalysing. It found that structure generated can be...

We consider the parity transformation and the consequences of parity invariance on the n-point correlation function of the cosmic shear, or any other polar (or ‘spin-2’) field. The decomposition of the shear field into Eand B-modes then yields the result that any correlation function which contains an odd number of B-mode shear components vanishes for parity-invariant random shear fields. This ...