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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.
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