Codes over rings, complex lattices and Hermitian modular forms

European Journal of Combinatorics

Volumn 26, Issue 2, 2005, Pages 145-165

  Choie, YoungJu ^a   Dougherty, Steven T ^b  

^a Pohang University of Science and Technology (POSTECH)   (South Korea)

^b UNIVERSITY OF SCRANTON   (United States)

Author keywords

Hermitian modular forms; Self dual codes; Unimodular lattices

Indexed keywords

EID: 10644239810     PISSN: 01956698     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejc.2004.04.002     Document Type: Article

References (11)

1. 2 and applications to Hermitian modular forms Abh. Math. Sem. Univ. Hamburg 73 2003 13-42
2. 4 and Jacobi forms IEEE-IT 4 1 2001 396-399
3. S.T. Dougherty, MacWilliams relations for codes over groups and rings (submitted for publication)
4. 2 IEEE Trans. Inform. Theory 45 1 1999 32-45
5. Dougherty S.T. Harada M. Solé P. Shadow lattices and shadow codes Discrete Math. 219 2000 49-64
6. Dougherty S.T. Solé P. in: Sunada T. Sy B.W. Lo Y. (Eds.) Shadow Constructions of Unimodular Lattices and Self-Dual Codes AMC 2002 139-152 World Scientific
7. Gritsenko V.A. The effect of modular operators on the Fourier-Jacobi coefficients of modular forms Math. Sb. 119 (161) 2 1982 248-277
8. Haverkamp K. Hermitian Jacobi forms Results Math. 29 1996 78-89
9. Krieg A. Modular forms on half-spaces of quaternions Lecture Notes in Mathematics vol. 1143 1985 Springer-Verlag
10. Rains E. Sloane N.J.A. Self-dual codes in: Pless V.S. Huffman W.C. (Eds.) The Handbook of Coding Theory 1998 177-294 Elsevier Amsterdam
11. J. Wood, Duality for modules over finite ringgs and applications to coding theory, Amer. J. Math. 121 (3) 1999 555-575