Information on Result #695835
Linear OA(2761, 749, F27, 29) (dual of [749, 688, 30]-code), using construction X applied to Ce(28) ⊂ Ce(20) based on
- linear OA(2754, 729, F27, 29) (dual of [729, 675, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2741, 729, F27, 21) (dual of [729, 688, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(277, 20, F27, 7) (dual of [20, 13, 8]-code or 20-arc in PG(6,27)), using
- discarding factors / shortening the dual code based on linear OA(277, 27, F27, 7) (dual of [27, 20, 8]-code or 27-arc in PG(6,27)), using
- Reed–Solomon code RS(20,27) [i]
- discarding factors / shortening the dual code based on linear OA(277, 27, F27, 7) (dual of [27, 20, 8]-code or 27-arc in PG(6,27)), 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(2761, 625, F27, 2, 29) (dual of [(625, 2), 1189, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (32, 61, 625)-net over F27 | [i] | ||
| 3 | Linear OOA(2761, 374, F27, 2, 29) (dual of [(374, 2), 687, 30]-NRT-code) | [i] | OOA Folding | |