Codes And Modular Forms: A Dictionary
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A01=Anuradha Sharma
A01=Minjia Shi
A01=Patrick Sole
A01=Youngju Choie
Author_Anuradha Sharma
Author_Minjia Shi
Author_Patrick Sole
Author_Youngju Choie
Category=GPJ
Category=PBH
Codes
Codes Over Rings
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Hilbert Forms
Jacobi Forms
Modular Forms
Self-Dual Codes
Siegel Forms
Theta-Series
Product details
- ISBN 9789811212918
- Publication Date: 28 Nov 2019
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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 wide sense (Jacobi forms, Siegel forms, Hilbert forms). Codes comprises not only linear spaces over finite fields but modules over some commutative rings. The connection between codes over finite fields and lattices has been well documented since the 1970s. Due to an avalanche of results on codes over rings since the 1990's there is a need for an update at book level.
