Codes and modular forms : a dictionary

There are connections between invariant theory and modular forms since the times of Felix Klein, in the 19th century, connections between codes and lattices since the 1960's. The aim of the book is to explore the interplay between codes and modular forms. Here modular form is understood in a wi...

• Other Authors: Shi, Minjia, Choie, Youngju, Sharma, Anuradha, Sole, Patrick
• Format: Book
• Language: English
• Published: Singapore: World scientific, 2020.
• Subjects: Coding theory; Modular forms; Number Theory; Information Theory; Discrete Mathematics; Matemática discreta
• Online Access: Texto completo

Table of Contents:

• Codes and Lattices: A Dictionary
• Modular Forms in One Variable
• Siegel Modular Forms
• Jacobi Forms
• Automorphic Forms over Number Fields
• Construction of Self-dual Codes of Higher Lengths over Z2m and Determination of Jacobi Forms
• Byte Weight Enumerators of Codes and Modular Forms of Genus g
• Byte Weight Enumerators of Codes over Fp and Modular Forms over a Totally Real Field