Information on Result #694828
Linear OA(2786, 531450, F27, 22) (dual of [531450, 531364, 23]-code), using construction X applied to Ce(21) ⊂ Ce(19) based on
- linear OA(2785, 531441, F27, 22) (dual of [531441, 531356, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2777, 531441, F27, 20) (dual of [531441, 531364, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(271, 9, F27, 1) (dual of [9, 8, 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 OA(27101, 531514, F27, 22) (dual of [531514, 531413, 23]-code) | [i] | (u, u+v)-Construction | |
| 2 | OA(27102, 531550, S27, 22) | [i] | ||
| 3 | OA(27104, 531566, S27, 22) | [i] | ||
| 4 | Linear OOA(2786, 386917, F27, 2, 22) (dual of [(386917, 2), 773748, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (64, 86, 386917)-net over F27 | [i] | ||
| 6 | Linear OOA(2786, 265725, F27, 2, 22) (dual of [(265725, 2), 531364, 23]-NRT-code) | [i] | OOA Folding | |