000			02145cam a22003618i 4500
001			21437031
003			OSt
005			20250430123147.0
008			200210s2020 nju b 000 0 eng
010			_a 2019052124
020			_a9798886131451 (Pbk)
040			_aLBSOR/DLC _beng _erda _cIISERB
042			_apcc
050	0	0	_aQA243 _b.S487 2020
082	0	0	_a512.73 Sh61C _223
100	1		_aShi, Minjia. _932555
245	1	0	_aCodes and modular forms : _ba dictionary / _cMinjia Shi, YoungJu Choie, Anuradha Sharma, Patrick Solé.
260			_aSingapore: _bWorld Scientific Publishing, _c2025.
263			_a2002
300			_axiv, 217p.
504			_aIncludes bibliographical references and index.
505	0		_aCodes 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"--
650		0	_aForms, Modular. _932556
650		0	_aCoding theory. _932557
650		0	_aLattice theory. _932558
700	1		_aChoie, YoungJu. _932559
700	1		_aSharma, Anuradha. _932560
700	1		_aSole, Patrick. _932561
906			_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg
942			_2ddc _cBK
999			_c10969 _d10969