Although cyclic LDPC codes constructed based on finite geometries achieve excellent performance, the relatively high densities of their parity-check matrices make the hardware implementation complexity of the decoders quite large. An effective algorithm for decoding cyclic finite geometry LDPC codes based on the cyclic structure and appropriate partition of their parity check matrices is presen...

Due to their efficient encoding and decoding algorithms, cyclic codes, a subclass of linear codes, have applications in communication systems, consumer electronics, and data storage systems. In this paper, Dickson polynomials of the first kind over finite fields are employed to construct a number of classes of cyclic codes. Lower bounds on the minimum weight of some classes of the cyclic codes ...

Locally repairable codes for distributed storage systems have gained a lot of interest recently, and various constructions can be found in the literature. However, most of the constructions result in either large field sizes and hence too high computational complexity for practical implementation, or in low rates translating into waste of the available storage space. In this paper we address th...

In the chemical industry, final products arise from chemical and physical transformations of materials in processing units. We consider the case of batch production mode, where the total requirements for intermediate and final products are divided into individual batches. To produce a batch, the inputs are first loaded into a processing unit, then a transformation process is executed, and final...

The electrochemical properties and stability during storage of pristine and AlPO4-coated LiCoO2 thin films were characterized. The wide and smooth surface of the thin film electrode might provide an opportunity for one to observe surface reactions with an electrolyte. The rate capability and cyclic performance of the LiCoO2 thin film were enhanced by AlPO4 surface coating. Based on secondary io...

Software pipelining can have an enormous impact on the clock cycle count and hence on the performance of a real-time signal processing design. Because it pays off to invest CPU time in the optimal software pipelining of time-critical parts of a design, an integer programming approach is proposed for simultaneous scheduling and software pipelining. The integer programming techniques in the liter...

Cyclic codes are a subclass of linear codes and have applications in consumer electronics, data storage systems, and communication systems as they have efficient encoding and decoding algorithms. Let m = 2l+1 for an integer l≥ 1 and π be a generator of GF(3m)∗. In this paper, a class of cyclic codes C(u,v) over GF(3) with two nonzeros πu and πv is studied, where u = (3m +1)/2, and v = 2 ·3l+ 1 ...