We derive upper bounds on the components of the distance distribution of duals of BCH codes.

Reduction of delay is a main concern in VLSI (Very Large Scale Integration), throughput of the CODEC is effectively increased. A (15, 7) BCH (Bose ChaudhuriHocquenghem Code) Encoder and Decoder for text message is implemented using Verilog HDL. BCH can corrected double error in any position of 15 bit codeword. Initially each character in a text message is converted into binary data of 7 bits. T...

Based on two recently proposed methods in the literature − the “Ranging Criterion” and the “Generators Ranging Criterion” − new (quasi-orthogonal) even BCH-derived sequences are generated, which are very attractive for (synchronous or quasi-synchronous) CDMA applications. These sequences can be easily generated by a linear shift register generator, adding one extra zero or by a cyclically read ...

In this article, a BCH code-based audio watermarking approach performed in the cepstrum domain is proposed. The technique takes advantage of the attack-invariant feature of the cepstrum domain and the error-correction capability of BCH code to increase the robustness of audio watermarking. In addition, the watermarked audio has very high perceptual quality. A blind watermark detection technique...

In this paper, we investigate the undetected error probabilities for bounded-distance decoding of binary primitive BCH codes when they are used for both error correction and detection on a binary symmetric channel. We show that the undetected error probability of binary linear codes can be quite simplified and quantified if weight distribution of the code is binomial-like. We obtain bounds on t...

In this note we determine the second generalized Hamming weight of the dual codes of binary doubleerror correcting BCH-codes.

Benign cephalic histiocytosis (BCH) is a rare non-Langerhans cell histiocytosis of unknown etiology. Clinically, lesions are characterized by small, red-to-yellow papules distributed mainly on the head, face, neck, and shoulders of infants and children. Histopathological specimens show massive histiocytic infiltration of the superficial dermis. Immunohistochemically, they are positive for CD68,...

The two enantiomers of 2',3'-dideoxy-3'-thiacytidine (BCH-189) and their 5-fluoro analogs (FTC) were found to be good substrates for human 2'-deoxycytidine kinase with Km values in the 5.7 to 42.1 microM range. The affinity of the (-)-enantiomers was greater than that of the (+)-compounds. These results may explain the greater in vitro antiviral potency against human immunodeficiency virus and ...

Absrrucr -The BCH algorithm can be extended to correct more errors than indicated by the BCH bound. In the first step of the decoding procedure, we correct a number of errors, corresponding to a particular case of the Hartmann-Tzeng bound. In the second step we aim at full error correction. A measure for the worst-case number of field elements of an extension field GF(2") that must be tested fo...

It is shown that a classical error correcting code C = [n, k, d] which contains its dual, C⊥ ⊆ C, and which can be enlarged to C ′ = [n, k′ > k + 1, d′], can be converted into a quantum code of parameters [[n, k + k′ − n,min(d, d3d′/2e)]]. This is a generalisation of a previous construction, it enables many new codes of good efficiency to be discovered. Examples based on classical Bose Chaudhur...