The May 2008 conference New Challenges in Digital Communications, held in Vlora, Albania, explored how algebra, algebraic geometry, number theory, graph theory, and other areas of mathematics are related to coding theory and cryptology. A selection of 10 papers from it consider such topics as self-dual codes and invariant theory; vector bundles in error-correcting for geometric Goppa codes; combinatorial designs and code synchronization; real and imaginary hyper-elliptic curve cryptography; divisibility, smoothness, and cryptographic applications; a variant of the Reidemeister-Schreier algorithm for the fundamental groups of Riemann surfaces; theta functions and algebraic curves with automorphisms; enumerative geometry and string theory; and the cryptographical properties of extremal algebraic graphs. Researchers and practitioners in mathematics or computer science might find the material interesting and useful. Annotation ©2010 Book News, Inc., Portland, OR (booknews.com)
