BCH Code Research Papers - Academia.edu (original) (raw)

We discuss the relations between OFDM and Reed-Solomon codes, pointing out that OFDM can be seen as an analog RS code as soon as a cyclically consecutive range of carriers is not used for transmission, i.e., carries zeros. Thus, these RS... more

We discuss the relations between OFDM and Reed-Solomon codes, pointing out that OFDM can be seen as an analog RS code as soon as a cyclically consecutive range of carriers is not used for transmission, i.e., carries zeros. Thus, these RS codes could be used for correction purposes before a standard channel decoder is invoked. We will con- centrate on

One of the most important issues of the digital watermarking is the watermark's robustness. That's why the error correcting codes (ECC) techniques were proposed. In this article, the performance of ECC in audio watermarking... more

One of the most important issues of the digital watermarking is the watermark's robustness. That's why the error correcting codes (ECC) techniques were proposed. In this article, the performance of ECC in audio watermarking system is researched. The conclusion is that BCH encoders and turbo codes are the most important encoders. They have the best experimental robustness results against several audio signal attacks.

In this paper we compute the Fourier spectra of some recently discovered binomial APN functions. One consequence of this is the determination of the nonlinearity of the functions, which measures their resistance to linear cryptanalysis.... more

In this paper we compute the Fourier spectra of some recently discovered binomial APN functions. One consequence of this is the determination of the nonlinearity of the functions, which measures their resistance to linear cryptanalysis. Another consequence is that certain error-correcting codes related to these functions have the same weight distribution as the 2-error-correcting BCH code. Furthermore, for field extensions of F2 of odd degree, our results provide an alternative proof of the APN property of the functions.

The CLC (Coded Logical Channels) technique, which uses a decomposition of the network structure, such as a supplementary transformation step, is described. This transformation step produces from the specific system, the simplex system,... more

The CLC (Coded Logical Channels) technique, which uses a decomposition of the network structure, such as a supplementary transformation step, is described. This transformation step produces from the specific system, the simplex system, several partial systems, which realize separately a part of the peripheral function of the simplex system, the Shannon extension. For the CLC technique, the Hamming code is used. The efficiency of this method is proved by a comparison with the triple modular redundancy, which does not allow an automatic partition.

Data transmission over a communication channel is prone to a number of factors that can render the data unreliable or inconsistent by introducing noise, crosstalk or various other disturbances. A mechanism has to be in place that detects... more

Data transmission over a communication channel is prone to a number of factors that can render the data unreliable or inconsistent by introducing noise, crosstalk or various other disturbances. A mechanism has to be in place that detects these anomalies in the received data and corrects it to get the data back as it was meant to be sent by the sender. Over the years a number of error detection and correction methodologies have been devised to send and receive the data in a consistent and correct form. The best of these methodologies ensure that the data is received correctly by the receiver in minimum number of retransmissions. In this paper

Based on two methods recently proposed—the ‘Ranging Criterion’ (RC) and the ‘Generators Ranging Criterion’ (GRC)—new (quasi-orthogonal) even BCH-derived sequences are generated which are very attractive for synchronous or... more

Based on two methods recently proposed—the ‘Ranging Criterion’ (RC) and the ‘Generators Ranging Criterion’ (GRC)—new (quasi-orthogonal) even BCH-derived sequences are generated which are very attractive for synchronous or quasi-synchronous Code Division Multiple-Access (CDMA) systems. Numerical results show that the new family of BCH-derived sequences can contain a higher number of quasi-orthogonal sequences with lower correlation values and higher processing gains (PGs) than the spreading sequences typically used in the third generation of mobile communications system, UMTS or in the recent large area synchronised CDMA (LAS-CDMA) technology. It is shown that the even BCH-derived sequences are easily generated by a linear shift register generator, allowing the construction of systems with receiver structures of low complexity as compared with those of quasi-synchronous systems using low correlation zone sequences, as for instance the LAS-CDMA system. Copyright © 2007 John Wiley & So...

This Paper studies several classifiers based on Multi-layer Perceptrons (MLP) for face verification. We use the Discrete Cosine Transform (DCT) instead of the eigenfaces method for feature extraction. Experimental results using a Nearest... more

This Paper studies several classifiers based on Multi-layer Perceptrons (MLP) for face verification. We use the Discrete Cosine Transform (DCT) instead of the eigenfaces method for feature extraction. Experimental results using a Nearest Neighbour classifier show a minimum Detection Cost Function (DCF) of 1.76% when using DCT, and 7.14% when using eigenfaces. We also study several MLP architectures, and we get better accuracies when using Bose-Chaudhuri-Hocquenghem (BCH) codes. In this case, we reduce the minimum DCF to 0.97% when using DCT feature extraction.

Multipath propagation phenomenon often causes Inter-Symbol Interference (ISI) because several copies from the originally transmitted signal travel in different directions and reach the destination with different time delays. This paper... more

Multipath propagation phenomenon often causes Inter-Symbol Interference (ISI) because several copies from the originally transmitted signal travel in different directions and reach the destination with different time delays. This paper offers a new diversity technique to eliminate the effect and utilise multipath propagation phenomenon. The new diversity technique is known as MultiPath Forward Error Correction (MPFEC) technique. The MPFEC technique considers some of the multipath copies as an existing resource (redundant copies of the transmitted signal) which can be utilised to enhance the performance of Forward Error Correction coding (FEC) techniques, hence saving significant channel resources otherwise given to a feedback channel, without adding redundancy. Two different coding techniques BCH and RS coding are used in the simulation to perform the Bit Error Rate (BER) analysis. The result reveals that BCH and RS codes performance can be enhanced by utilising the MPFEC technique ...

A number of cyclic and BCH code decoders that have 0(1) time complexity and less hardware complexity than conventional digital decoders are presented. The neural decoder is formulated as a set of parity networks in the first layer... more

A number of cyclic and BCH code decoders that have 0(1) time complexity and less hardware complexity than conventional digital decoders are presented. The neural decoder is formulated as a set of parity networks in the first layer followed by a linear perceptron in the second layer, and thus has simple implementation in VLSI technology.

This Paper studies several classifiers based on Multi-layer Perceptrons (MLP) for face verification. We use the Discrete Cosine Transform (DCT) instead of the eigenfaces method for feature extraction. Experimental results using a Nearest... more

This Paper studies several classifiers based on Multi-layer Perceptrons (MLP) for face verification. We use the Discrete Cosine Transform (DCT) instead of the eigenfaces method for feature extraction. Experimental results using a Nearest Neighbour classifier show a minimum Detection Cost Function (DCF) of 1.76 % when using DCT, and 7.14 % when using eigenfaces. We also study several MLP architectures, and we get better accuracies when using Bose-Chaudhuri-Hocquenghem (BCH) codes. In this case, we reduce the minimum DCF to 0.97 % when using DCT feature extraction. 1.

Abstract We present a self-contained adaptive system for detecting and bypassing permanent errors in on-chip interconnects. The proposed system reroutes data on erroneous links to a set of spare wires without interrupting the data flow.... more

Abstract We present a self-contained adaptive system for detecting and bypassing permanent errors in on-chip interconnects. The proposed system reroutes data on erroneous links to a set of spare wires without interrupting the data flow. To detect permanent errors at runtime, a novel in-line test (ILT) method using spare wires and a test pattern generator is proposed. In addition, an improved syndrome storing-based detection (SSD) method is presented and compared to the ILT method. Each detection method (ILT ...

One of the most important issues of the digital watermarking is the watermark's robustness. That's why the error correcting codes (ECC) techniques were proposed. In this article, the performance of ECC in audio watermarking... more

One of the most important issues of the digital watermarking is the watermark's robustness. That's why the error correcting codes (ECC) techniques were proposed. In this article, the performance of ECC in audio watermarking system is researched. The conclusion is that BCH encoders and turbo codes are the most important encoders. They have the best experimental robustness results against several audio signal attacks.

ABSTRACT Image communication over telephone wireline and wireless networks is becoming a standard way of communication due to very efficient compression algorithms for reducing the required channel capacity. However, all standard... more

ABSTRACT Image communication over telephone wireline and wireless networks is becoming a standard way of communication due to very efficient compression algorithms for reducing the required channel capacity. However, all standard compression techniques are strongly sensitive to channel noise and their application is suitable only for practically noiseless channels. For noisy channels it is reasonable to investigate an integrated source and channel coding method as a tradeoff between the image quality and the ability to control errors caused by noise. A real number (4,2) BCH code defined in the frequency domain via the DFT is presented. The major contribution of this paper is a new approach to decoding real number codes based on not only one but three syndromes which is not possible with binary codes. It is shown that a real number (4,2) code has the ability to correct up to 3 errors regardless of the presence of noise or even all i.e. four errors. The efficiency of the proposed decoding method is tested on a 2-D example of a gray scale image