Information on Result #1841143
(57, 79, 23832)-net in base 32, using net defined by OOA based on OOA(3279, 23832, S32, 22, 22), using
- OA 11-folding and stacking [i] based on OA(3279, 262152, S32, 22), using
- 1 times code embedding in larger space [i] based on OA(3278, 262151, S32, 22), using
- discarding parts of the base [i] based on linear OA(6465, 262151, F64, 22) (dual of [262151, 262086, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- linear OA(6464, 262144, F64, 22) (dual of [262144, 262080, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(6458, 262144, F64, 20) (dual of [262144, 262086, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(21) ⊂ Ce(19) [i] based on
- discarding parts of the base [i] based on linear OA(6465, 262151, F64, 22) (dual of [262151, 262086, 23]-code), using
- 1 times code embedding in larger space [i] based on OA(3278, 262151, S32, 22), 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 | (58, 80, 23832)-net in base 32 | [i] | Net Duplication | |
| 2 | (59, 81, 23832)-net in base 32 | [i] | ||