Introduction to error correcting codes

Ebook "Introduction to error correcting codes" includes content: Introduction, linear codes, cyclic codes, BCH codes, convolutional codes, information theory, some binomial approximations, finite fields.

133p haojiubujain07 20-09-2023 5 3   Download

Part 2 book "Modern digital and analog communication systems" includes content: Fundamentals of probability theory, random processes and spectral analysis, performance analysis of digital communication systems, spread spectrum communications, digital communications under linearly distortive channels, introduction to information theory, error correcting codes

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The paper is devoted to giving an introduction to this area of applied algebra. We do not intend to be encyclopedic, the topics included are bounded to reflect our own research interest.

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We develop an analogue for sphere packing of the linear programming bounds for error-correcting codes, and use it to prove upper bounds for the density of sphere packings, which are the best bounds known at least for dimensions 4 through 36. We conjecture that our approach can be used to solve the sphere packing problem in dimensions 8 and 24. Contents 1. Introduction 2. Lattices, Fourier transforms, and Poisson summation 3. Principal theorems 4. Homogeneous spaces 5. Conditions for a sharp bound 6. Stationary points 7. Numerical results 8. Uniqueness Appendix A. ...

27p tuanloccuoi 04-01-2013 46 5   Download

This introductory book emphasizes algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The presentation alternates between theory and applications in order to motivate and illustrate the mathematics. The mathematical coverage includes the basics of number theory, abstract algebra and discrete probability theory.

598p possibletb 29-11-2012 112 14   Download