An Introduction to Coding Theory via Hamming Codes: A Computational Science ModelThe theory of error-correcting codes is a relatively recent application of mathematics to information and communication systems. The theory has found a wide range of applications from deep space communication to quality of...
“An Introduction to Algebraic and Combinatorial Coding Theory” is a comprehensive book that offers a thorough exploration of the principles and techniques of coding theory. It serves as a valuable resource for readers interested in gaining a deeper understanding of error detection and correction in ...
An algebraic approach to graph codes This thesis consists of six chapters. The first chapter, contains a short introduction to coding theory in which we explain the coding theory concepts we use. In the second chapter, we present the required theory for evaluation codes and... Pinero,Fernando ...
Undergraduate Texts in Mathematics(共154册),这套丛书还有 《Introduction to Coding and Information Theory》《Applied Linear Algebra and Matrix Analysis》《Topics in the Theory of Numbers》《Rational Points on Elliptic Curves》《From Fermat to Minkowski》等。 喜欢读"An Introduction to Mathematical Cryp...
About this book Introduction to the basic concepts of probability theory: independence, expectation, convergence in law and almost-sure convergence. Short expositions of more advanced topics such as Markov Chains, Stochastic Processes, Bayesian Decision Theory and Information Theory. ...
You can relate Plato's theory of Forms to DDD. Much of its guidance helps us get closer to the ideal model over time. The path to the Form you want to describe with your code is scattered about in the minds of domain experts, the desires of stakeholders, and the requirements of indust...
Maximise your employability, by learning the basics of coding in Python. Python is a versatile programming language used for developing websites and software, task automation, data analysis and more. In this course, you'll embark on an exciting journey i
This distinction helps us identify more rigorously those evaluative resources that are relevant to arguments. It will also enable us to explore and quantify the way evaluation functions across contexts.Introduction In research writing (research articles, proposals and even dissertations and theses), it ...
Mathematical Preliminaries for Lossy Coding Khalid Sayood, in Introduction to Data Compression (Fourth Edition), 2012 Further Reading There are a number of excellent books available that delve more deeply in the area of information theory: 1. Information Theory, by R.B. Ash [117]. 2. Informatio...
In addition, our improvement finds interesting applications to character sums, cryptography and coding theory. The key idea behind is that this curve has the Hasse–Witt invariant 0 and we show that the Hasse–Weil bound can be improved for any curves with the Hasse–Witt invariant 0. The ...