The mass of extremal doubly-even self-dual codes of length 40

IEEE Transactions on Information Theory

Volumn 47, Issue 6, 2001, Pages 2558-2560

  King, O D ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Extremal Type II codes; Unimodular lattices

Indexed keywords

ALGORITHMS; ENCODING (SYMBOLS); EQUIVALENCE CLASSES; MATHEMATICAL MORPHOLOGY;

SELF DUAL CODES; UNIMODAL LATTICES;

BINARY CODES;

EID: 0035443483     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.945269     Document Type: Letter

References (21)

1. Self-dual codes
2. A classification of self-orthogonal codes over GF (2)
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4. The binary self-dual codes of length up to 32: A revised enumeration
5. Good self-dual codes exist
6. An upper bound for self-dual codes
7. On the uniqueness of the Golay codes
8. Existence of new extremal doubly-even codes and extremal singly-even codes
9. Block designs of Hadamard type and self-dual codes
10. Self-orthogonal designs and extremal doubly-even codes
11. Extremal doubly-even codes of length 40 derived from Hadamard matrices or order 20
12. Binary self-dual codes with an automorphism of odd order
13. Doubly-even self-dual [40, 20, 8] codes with an automorphism of odd order
14. Hadamard matrices and doubly-even self-dual error-correcting codes
15. Classification of extremal double circulant self-dual codes of length up to 62
16. Sphere packing and error-correcting codes
17. The classification of integral even unimodular 24-dimensional quadratic forms
18. A mass formula for unimodular lattices with no roots
19. An explicit formula for Siegel series