AMS/IP Studies in Advanced Mathematics 2007; 200 pp; softcover Volume: 41 ISBN10: 0821842986 ISBN13: 9780821842980 List Price: US$61 Member Price: US$48.80 Order Code: AMSIP/41
 Coding theory draws on a remarkable selection of mathematical topics, both pure and applied. The various contributions in this volume introduce coding theory and its most recent developments and applications, emphasizing both mathematical and engineering perspectives on the subject. This volume covers four important areas in coding theory: algebraic geometry codes, graphbased codes, spacetime codes, and quantum codes. Both students and seasoned researchers will benefit from the extensive and selfcontained discussions of the development and recent progress in these areas. Titles in this series are copublished with International Press, Cambridge, MA. Readership Research mathematicians interested in coding theory. Table of Contents Algebraic geometry codes  M.C. Kang  Introduction to algebraic geometry codes
 W.C. W. Li  Upper and lower bounds for \(A(q)\)
 W.C. W. Li  Elkies' modularity conjecture
 H. Maharaj  Explicit towers and codes
 W.C. W. Li  Improved algebraic geometry bounds
 A. Garcia and H. Stichtenoth  On the Galois closure of towers
Graphbased codes  N. Boston  Graphbased codes
New aspects of Reed Muller codes  A. R. Calderbank  Reed Muller codes and symplectic geometry
Quantum codes  A. Ashikhmin and S. Litsyn  Foundations of quantum error correction
 K. Feng  A new description of quantum errorcorrecting codes
