Codes over ∑2m and Jacobi forms over the Quaternions

Applicable Algebra in Engineering, Communications and Computing

Volumn 15, Issue 2, 2004, Pages 129-147

  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

[No Author keywords available]

Indexed keywords

ALGEBRA; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; POLYNOMIALS; THEOREM PROVING;

ALGEBRA HOMOMORPHISMS; LINEAR CODES; QUATERNIONIC RINGS; UNIMODULAR LATTICES;

MAP SYMBOLS;

EID: 5444222236     PISSN: 09381279     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00200-004-0153-9     Document Type: Article

References (10)

1. Bannai, E., Dougherty, S.T., Harada, M., Oura, M.: Type II Codes, Even Unimodular Lattices, and Invariant Rings, IEEE-IT, 45(4), 1194-1205 (1999)
2. 4 and Jacobi forms, IEEE-IT, 4(1), 396-399 (2001)
3. Choie, Y., Dougherty, S.T.: Codes over Rings, Code, Lattices, and Hermitian Modular Forms, to appear in European Journal of Combinatorics, 2004
4. Dougherty, S.T.: MacWilliams relations for Codes over Groups and Rings, http:// academic.uofs.edu/faculty/doughertys1/publ.htm.
5. Dougherty, S.T.: MacWilliams relations for joint weight enumerators over rings, http:// academic.uofs.edu/faculty/doughertys1/publ.htm.
6. 2. IEEE Trans. Inform. Theory, 45(1), 32-45 (1999)
7. Krieg, A.: Modular forms on Half-Spaces of Quaternions. Lecture Notes in Math. 1143, Springer-Verlag, Berlin Heidelberg, 1985
8. Krieg, A.: The Maaβ-Space on the half-space of quaternions of degree 2. Math. Ann. 276, 675-686 (1987)
9. Oura, M.: Coding theoretical construction of modular forms of quaternions. Manuscript
10. Wood, J.: Duality for modules over finite rings and applications to coding theory. Am. J. Math. 121(3), 555-575 (1999)