This is the revised edition of Berlekamp's famous book, 'Algebraic
Coding Theory', originally published in 1968, wherein he introduced
several algorithms which have subsequently dominated engineering
practice in this field. One of these is an algorithm for decoding
Reed-Solomon and Bose-Chaudhuri-Hocquenghem codes that subsequently
became known as the Berlekamp-Massey Algorithm. Another is the
Berlekamp algorithm for factoring polynomials over finite fields,
whose later extensions and embellishments became widely used in
symbolic manipulation systems. Other novel algorithms improved the
basic methods for doing various arithmetic operations in finite
fields of characteristic two. Other major research contributions in
this book included a new class of Lee metric codes, and precise
asymptotic results on the number of information symbols in long
binary BCH codes.Selected chapters of the book became a standard
graduate textbook.Both practicing engineers and scholars will find
this book to be of great value.
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