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Titlebook: Channel Coding Techniques for Wireless Communications; K. Deergha Rao Book 2019Latest edition Springer Nature Singapore Pte Ltd. 2019 Bloc

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978-981-15-0563-8Springer Nature Singapore Pte Ltd. 2019
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of error control codes such as BCH codes and Reed–Solomon codes relies on the structures of Galois fields and polynomials over Galois fields. This chapter presents briefly algebraic tools for understanding of Galois field theory used in error-correcting codes design.
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ndant bits are generated by the use of modulo-2 convolutions in a convolutional encoder. The convolutional encoder can be considered as finite-state machine consisting of an M-stage shift register, modulo-2 adders and multiplexers. The rate of a convolutional encoder with . inputs and . outputs is .
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des are ignored for long time due to their high computational complexity and domination of highly structured algebraic block and convolutional codes for forward error correction. A number of researchers produced new irregular LDPC codes which are known as new generalizations of Gallager’s LDPC codes
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