We consider dictionaries of size n over the finite universe u = (0, l)w and introduce a new technique for their implementation: error correcting codes. protected with an error-correcting code (ECC) is presented in this compared with the most recent implementation. treated within industries for their products. ―VLSI Implementation of Decoder Error Correcting in Satellite. Concatenation Code in F...

The performance of cellular DS-CDMA systems using long and short spreading sequences is compared in terms of the distribution of the bit error probability, both with and without forward error correction. For the short code case, both conventional and MMSE detectors are considered. The MMSE receiver clearly outperforms both of the conventional receivers. Furthermore, for the conventional receive...

To my children, my husband, and my parents.

We show how to construct error-correcting codes from flag varieties on a finite field Fq. We give some examples. For some codes, we give the parameters and give the weights and the number of codewords of minimal weight.

We determine the dimension and in some cases the minimum distance of primitive, narrow sense BCH codes of length n with small designed distance. We show that such a code contains its Euclidean dual code and, when the size of the field is a perfect square, also its Hermitian dual code. We establish two series of quantum error-correcting codes.

The surface code is a powerful quantum error correcting code that can be defined on a 2-D square lattice of qubits with only nearest neighbor interactions. Syndrome and data qubits form a checkerboard pattern. Information about errors is obtained by repeatedly measuring each syndrome qubit after appropriate interaction with its four nearest neighbor data qubits. Changes in the measurement value...

LDPC codes are state-of-art error correcting codes, included in and the received samples in LDPC-coded systems using M -QAM schemes. physical layer, especially on the forward-error correction code. (FEC) performance. low-density parity check (LDPC) codes can achieve high Using long FECs with short is possible to apply a non-uniform mapping like for example. Low-density parity-check (LDPC) code ...

Digital communication system is used to transport an information bearing signal from the source to a user destination via a communication channel. Channel coding is used for providing reliable information through the transmission channel to the user. In channel coding the number of symbols in the source encoded message is increased in a controlled manner in order to facilitate two basic objecti...