Information on Result #1840489
(56, 78, 1490)-net in base 16, using net defined by OOA based on OOA(1678, 1490, S16, 22, 22), using
- OA 11-folding and stacking [i] based on OA(1678, 16390, S16, 22), using
- 1 times code embedding in larger space [i] based on OA(1677, 16389, S16, 22), using
- discarding parts of the base [i] based on linear OA(12844, 16389, F128, 22) (dual of [16389, 16345, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- linear OA(12843, 16384, F128, 22) (dual of [16384, 16341, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(12839, 16384, F128, 20) (dual of [16384, 16345, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 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(12844, 16389, F128, 22) (dual of [16389, 16345, 23]-code), using
- 1 times code embedding in larger space [i] based on OA(1677, 16389, S16, 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 | (57, 79, 1490)-net in base 16 | [i] | Net Duplication | |