By Dave K. Kythe,Prem K. Kythe
Using an easy but rigorous technique, Algebraic and Stochastic Coding idea makes the topic of coding idea effortless to appreciate for readers with an intensive wisdom of electronic mathematics, Boolean and glossy algebra, and chance conception. It explains the underlying ideas of coding conception and provides a transparent, targeted description of every code. extra complicated readers will have fun with its assurance of modern advancements in coding thought and stochastic processes.
After a short evaluation of coding historical past and Boolean algebra, the ebook introduces linear codes, together with Hamming and Golay codes. It then examines codes in response to the Galois box idea in addition to their program in BCH and particularly the Reed–Solomon codes which have been used for errors correction of information transmissions in house missions.
The significant outlook in coding idea looks aimed toward stochastic procedures, and this booklet takes a daring step during this path. As learn specializes in blunders correction and restoration of erasures, the ebook discusses trust propagation and distributions. It examines the low-density parity-check and erasure codes that experience spread out new methods to enhance wide-area community information transmission. It additionally describes sleek codes, akin to the Luby remodel and Raptor codes, which are permitting new instructions in high-speed transmission of very huge info to a number of users.
This powerful, self-contained textual content absolutely explains coding difficulties, illustrating them with greater than 2 hundred examples. Combining idea and computational recommendations, it's going to charm not just to scholars but additionally to execs, researchers, and lecturers in components resembling coding idea and sign and picture processing.
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Additional resources for Algebraic and Stochastic Coding Theory
Algebraic and Stochastic Coding Theory by Dave K. Kythe,Prem K. Kythe