Information on Result #694792
Linear OA(2793, 531445, F27, 24) (dual of [531445, 531352, 25]-code), using construction X applied to Ce(23) ⊂ Ce(22) based on
- linear OA(2793, 531441, F27, 24) (dual of [531441, 531348, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2789, 531441, F27, 23) (dual of [531441, 531352, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(27109, 531509, F27, 24) (dual of [531509, 531400, 25]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(27110, 531513, F27, 24) (dual of [531513, 531403, 25]-code) | [i] | ||
| 3 | OA(27109, 531527, S27, 24) | [i] | ||
| 4 | Linear OOA(2793, 265722, F27, 2, 24) (dual of [(265722, 2), 531351, 25]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2793, 44287, F27, 24, 24) (dual of [(44287, 24), 1062795, 25]-NRT-code) | [i] | OA Folding and Stacking | |