Introduction to algebraic coding theory In this age of technology where messages are transmitted in sequences of 0s and 1s through space errors can occur due to noisy channels. Thus self correcting code is vital to eradicate these errors when the number of errors is small. It is widely used in industry for a variety of applications including e mail telephone and remote sensing (for example photographs of Mars). An expert in algebra and algebraic geometry Tzuong Tsieng Moh covers many essential aspects of algebraic coding theory in this book such as elementary algebraic coding theories the mathematical theory of vector spaces and linear algebras behind them various rings and associated coding theories a fast decoding method useful parts of algebraic geometry and geometric coding theories. This book is accessible to advanced college students graduate students coding theorists and algebraic geometers