Self-Dual Codes and Invariant Theory

• Main Authors: Nebe, Gabriele (Author), Rains, Eric M. (Author), Sloane, Neil J.A (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Series: Algorithms and Computation in Mathematics, 17
• Subjects: Mathematics.; Coding theory.; Algebra.; Group theory.; Number theory.; Quantum physics.; Control engineering.; Robotics.; Mechatronics.; Coding and Information Theory.; Group Theory and Generalizations.; Control, Robotics, Mechatronics.; Number Theory.; Quantum Physics.

One of the most remarkable and beautiful theorems in coding theory is Gleason's 1970 theorem about the weight enumerators of self-dual codes and their connections with invariant theory. In the past 35 years there have been hundreds of papers written about generalizations and applications of thi...