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  • Codes and Modular Forms: A Dictionary by Shi Minjia book cover
  • Codes and Modular Forms: A Dictionary by Shi Minjia book cover
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Codes and Modular Forms: A Dictionary

by Shi Minjia

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Connections across codes and modular forms

$92.66 USD
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Hardcover New English

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AlbakiReads Editorial

Connections across codes and modular forms

Shi Minjia examines the relationship between codes and modular forms, placing it alongside related connections among invariant theory, codes, and lattices. The scope extends beyond linear codes over finite fields to modules over commutative rings, and treats modular forms broadly, including Jacobi, Siegel, and Hilbert forms. The book also addresses developments in codes over rings since the 1990s, framing them as a reason for a book-length update to the subject. Its stated focus is the mathematical interplay among these areas, rather than a single class of codes or modular forms.

Good fit for readers who enjoy

  • Readers interested in coding theory and its links to other mathematical fields
  • Those studying modular forms, including Jacobi, Siegel, or Hilbert forms
  • Readers exploring codes over rings, lattices, or invariant theory

Themes

Coding theoryModular formsCodes over ringsLattices and invariant theory

Based on publisher information and book metadata.

Book overview

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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