Information on Result #695859
Linear OA(2791, 752, F27, 44) (dual of [752, 661, 45]-code), using construction X applied to Ce(43) ⊂ Ce(35) based on
- linear OA(2784, 729, F27, 44) (dual of [729, 645, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(2768, 729, F27, 36) (dual of [729, 661, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(277, 23, F27, 7) (dual of [23, 16, 8]-code or 23-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(2791, 722, F27, 2, 44) (dual of [(722, 2), 1353, 45]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (47, 91, 722)-net over F27 | [i] | ||
| 3 | Linear OOA(2791, 376, F27, 2, 44) (dual of [(376, 2), 661, 45]-NRT-code) | [i] | OOA Folding | |