Information on Result #695113
Linear OA(2798, 19690, F27, 34) (dual of [19690, 19592, 35]-code), using construction X applied to Ce(33) ⊂ Ce(31) based on
- linear OA(2797, 19683, F27, 34) (dual of [19683, 19586, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2791, 19683, F27, 32) (dual of [19683, 19592, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(271, 7, F27, 1) (dual of [7, 6, 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 | OA(9147, 19690, S9, 34) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(2798, 10717, F27, 2, 34) (dual of [(10717, 2), 21336, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (64, 98, 10717)-net over F27 | [i] | ||
| 4 | Linear OOA(2798, 9845, F27, 2, 34) (dual of [(9845, 2), 19592, 35]-NRT-code) | [i] | OOA Folding | |