Information on Result #901003
Linear OOA(2782, 9871, F27, 2, 24) (dual of [(9871, 2), 19660, 25]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2712, 28, F27, 2, 12) (dual of [(28, 2), 44, 13]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;44,27) [i]
- linear OOA(2770, 9843, F27, 2, 24) (dual of [(9843, 2), 19616, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2770, 19686, F27, 24) (dual of [19686, 19616, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(2770, 19683, F27, 24) (dual of [19683, 19613, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2767, 19683, F27, 23) (dual of [19683, 19616, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- OOA 2-folding [i] based on linear OA(2770, 19686, F27, 24) (dual of [19686, 19616, 25]-code), using
Mode: Constructive and 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(2782, 1645, F27, 26, 24) (dual of [(1645, 26), 42688, 25]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |