Information on Result #694798
Linear OA(2777, 531445, F27, 20) (dual of [531445, 531368, 21]-code), using construction X applied to Ce(19) ⊂ Ce(18) based on
- 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(2773, 531441, F27, 19) (dual of [531441, 531368, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(270, 4, F27, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-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(2790, 531497, F27, 20) (dual of [531497, 531407, 21]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2791, 531509, F27, 20) (dual of [531509, 531418, 21]-code) | [i] | ||
| 3 | Linear OA(2792, 531513, F27, 20) (dual of [531513, 531421, 21]-code) | [i] | ||
| 4 | Linear OA(2793, 531521, F27, 20) (dual of [531521, 531428, 21]-code) | [i] | ||
| 5 | Linear OA(2794, 531552, F27, 20) (dual of [531552, 531458, 21]-code) | [i] | ||
| 6 | Linear OA(2795, 531631, F27, 20) (dual of [531631, 531536, 21]-code) | [i] | ||
| 7 | OA(2791, 531527, S27, 20) | [i] | ||
| 8 | OA(2792, 531545, S27, 20) | [i] | ||
| 9 | OA(2793, 531561, S27, 20) | [i] | ||
| 10 | Linear OOA(2777, 265722, F27, 2, 20) (dual of [(265722, 2), 531367, 21]-NRT-code) | [i] | OOA Folding | |