Information on Result #1840831
(31, 43, 43692)-net in base 32, using net defined by OOA based on OOA(3243, 43692, S32, 12, 12), using
- OA 6-folding and stacking [i] based on OA(3243, 262152, S32, 12), using
- 1 times code embedding in larger space [i] based on OA(3242, 262151, S32, 12), using
- discarding parts of the base [i] based on linear OA(6435, 262151, F64, 12) (dual of [262151, 262116, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- linear OA(6434, 262144, F64, 12) (dual of [262144, 262110, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(6428, 262144, F64, 10) (dual of [262144, 262116, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(641, 7, F64, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- discarding parts of the base [i] based on linear OA(6435, 262151, F64, 12) (dual of [262151, 262116, 13]-code), using
- 1 times code embedding in larger space [i] based on OA(3242, 262151, S32, 12), using
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | (32, 44, 43692)-net in base 32 | [i] | Net Duplication | |