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Codes and modular forms : = a dictio...

Shi, Minjia.

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Codes and modular forms : = a dictionary /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Codes and modular forms :/ Minjia Shi ... [et al.]
其他題名:	a dictionary /
其他作者:	Shi, Minjia.
出版者:	Singaporea :World Scientific, : c2020.,
面頁冊數:	xiv, 217 p. ;24 cm.
內容註:	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.
標題:	Forms, Modular. -
ISBN:	9789811212918

Codes and modular forms : = a dictionary /
Codes and modular forms :a dictionary /Minjia Shi ... [et al.] - Singaporea :World Scientific,c2020. - xiv, 217 p. ;24 cm.

Includes bibliographical references.

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.

"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."--Provided by publisher.

ISBN: 9789811212918US88.00

LCCN: 2019052124Subjects--Topical Terms:

540521
Forms, Modular.

LC Class. No.: QA243 / .C64 2020

Dewey Class. No.: 512.7/3

Codes and modular forms : = a dictionary /
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020 $a 9811212910 $q (hbk.)
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245 0 0 $a Codes and modular forms : $b a dictionary / $c Minjia Shi ... [et al.]
260 # $a Singaporea : $b World Scientific, $c c2020.
300 $a xiv, 217 p. ; $c 24 cm.
504 $a Includes bibliographical references.
505 0 # $a 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.
520 # $a "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."--Provided by publisher.
650 # 0 $a Forms, Modular. $3 540521
650 # 0 $a Coding theory. $3 532585
650 # 0 $a Lattice theory. $3 532024
700 1 # $a Shi, Minjia. $3 3470098