This book is an account of the combinatorics of projective spaces over a finite field, with
special emphasis on one and two dimensions. With its successor volumes, Finite projective …

Electrical Engineering/Communications/Information Theory" The Berlekamp article alone
will make this book worth having."--David Forney, Vice President, Motorola Codex Reed …

The book is devoted to the theory of algebraic geometric codes, a subject formed on the
border of several domains of mathematics. on one side there are such classical areas as …

Algebraic geometry codes Page 1 Algebraic geometry codes Tom Høholdt, Jacobus H. van Lint
and Ruud Pellikaan ∗ In the Handbook of Coding Theory, vol I, pp. 871-961, (VS Pless, WC …

The concept of an error-correcting array gives a new bound on the minimum distance of
linear codes and a decoding algorithm which decodes up to half this bound. This gives a …

Polar codes, introduced by Arıkan, achieve symmetric capacity of any discrete memoryless
channels under low encoding and decoding complexity. Recently, non-binary polar codes …

On Goppa Codes and Weierstrass Gaps at Several Points⋆ Page 1 Designs, Codes and
Cryptography, 35, 211–225, 2005 © 2005 Springer Science+Business Media, Inc …

We prove that elements of the Weierstrassgap set of a pair of points may be used to define a
geometricGoppa code which has minimum distance greater than the usuallower bound. We …

We define a class of codes that we call affine variety codes. These codes are obtained by
evaluating functions in the coordinate ring of an affine variety on all the F q-rational points of …

In 1948 Shannon developed fundamental limits on the efficiency of communication over
noisy channels. The coding theorem asserts that there are block codes with code rates …