Information on Result #695643
Linear OA(2712, 734, F27, 6) (dual of [734, 722, 7]-code), using construction X applied to Ce(5) ⊂ Ce(3) based on
- linear OA(2711, 729, F27, 6) (dual of [729, 718, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(277, 729, F27, 4) (dual of [729, 722, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(271, 5, F27, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(2712, 734, F27, 2, 6) (dual of [(734, 2), 1456, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (6, 12, 734)-net over F27 | [i] | ||
| 3 | Linear OOA(2712, 367, F27, 2, 6) (dual of [(367, 2), 722, 7]-NRT-code) | [i] | OOA Folding | |