As a kind of very important error-correcting codes, polynomial codes have the advantages of good performance and simple structure. Generalized R-S codes over F-q as polynomial codes have the advantages described above...
详细信息
As a kind of very important error-correcting codes, polynomial codes have the advantages of good performance and simple structure. Generalized R-S codes over F-q as polynomial codes have the advantages described above, but their lengths n are at most q. In order to increase the length of the codes, in this paper, we apply a method similar to the construction of the generalized R-S codes over F-q and develop Ling and Xing's idea to construct new q-ary linear codes. First, based on the idea of constructing polynomials codes over F-q, we construct a class of polynomial functions by using the circular permutation defined over F-q, and a new type of linear codes is constructed from the properties of these functions and Mobius functions. Then, we give the value of the length n, the dimension k and the lower bound of the minimum distance d of the new linear codes. It turns out that some codes from this construction have good parameters based on Brouwer's table.
One central theme in quantum error-correction is to construct quantum codes that have a relatively large minimum distance. In this paper, we first present a construction of classical linear codes based on certain clas...
详细信息
One central theme in quantum error-correction is to construct quantum codes that have a relatively large minimum distance. In this paper, we first present a construction of classical linear codes based on certain classes of polynomials. Through these classical linear codes, we are able to obtain some new quantum codes. It turns out that some of the quantum codes exhibited here have better parameters than the ones available in the literature.
In this paper, we propose a case study of field programmable gate array (FPGA)-implemented self-checking circuits. In particular, we propose the design, implementation and experimental measurements of the Transmission...
详细信息
In this paper, we propose a case study of field programmable gate array (FPGA)-implemented self-checking circuits. In particular, we propose the design, implementation and experimental measurements of the Transmission and Reception Blocks of a Track-side Control System for railway applications. Our scheme is designed to feature on-line testing ability with respect to possible functional errors affecting the received and transmitted words, as well as with respect to a wide set of possible internal faults, representative of the most likely faults for FPGA-implemented systems. It negligibly impacts system's performance and features a more compact structure with respect to its alternative design making a massive use of the duplicate and compare technique. A prototype has been implemented, whose correct operation has been verified by means of post-layout simulations and experimental measurements.
暂无评论