Complete Weight Enumerators of Generalized Doubly-Even Self-Dual Codes
<|reference_start|>Complete Weight Enumerators of Generalized Doubly-Even Self-Dual Codes: For any q which is a power of 2 we describe a finite subgroup of the group of invertible complex q by q matrices under which the complete weight enumerators of generalized doubly-even self-dual codes over the field with q elements are invariant.   An explicit description of the invariant ring and some applications to extremality of such codes are obtained in the case q=4.<|reference_end|>
@article{nebe2003complete,
    title={Complete Weight Enumerators of Generalized Doubly-Even Self-Dual Codes},
    author={Gabriele Nebe, H.-G. Quebbemann, E. M. Rains, N. J. A. Sloane},
    journal={Finite Fields Applic. 10 (2004), 540-550},
    year={2003},
    archivePrefix={arXiv},
    eprint={math/0311289},
    primaryClass={math.NT cs.IT math.IT}
}