Information on Result #1840627
(34, 55, 656)-net in base 27, using net defined by OOA based on OOA(2755, 656, S27, 21, 21), using
- OOA 10-folding and stacking with additional row [i] based on OA(2755, 6561, S27, 21), using
- discarding factors based on OA(2755, 6563, S27, 21), using
- discarding parts of the base [i] based on linear OA(8141, 6563, F81, 21) (dual of [6563, 6522, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(8141, 6561, F81, 21) (dual of [6561, 6520, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(8139, 6561, F81, 20) (dual of [6561, 6522, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- discarding parts of the base [i] based on linear OA(8141, 6563, F81, 21) (dual of [6563, 6522, 22]-code), using
- discarding factors based on OA(2755, 6563, S27, 21), 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 | (34, 54, 656)-net in base 27 | [i] | m-Reduction | |