Information on Result #1459035
Linear OOA(2786, 19386, F27, 2, 28) (dual of [(19386, 2), 38686, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(2786, 19386, F27, 28) (dual of [19386, 19300, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(2786, 19711, F27, 28) (dual of [19711, 19625, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(19) [i] based on
- linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2758, 19683, F27, 20) (dual of [19683, 19625, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(277, 28, F27, 7) (dual of [28, 21, 8]-code or 28-arc in PG(6,27)), using
- extended Reed–Solomon code RSe(21,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- construction X applied to Ce(27) ⊂ Ce(19) [i] based on
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2786, 2769, F27, 30, 28) (dual of [(2769, 30), 82984, 29]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |