Information on Result #694794
Linear OA(2789, 531445, F27, 23) (dual of [531445, 531356, 24]-code), using construction X applied to Ce(22) ⊂ Ce(21) based on
- 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(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(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(27104, 531509, F27, 23) (dual of [531509, 531405, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(27105, 531513, F27, 23) (dual of [531513, 531408, 24]-code) | [i] | ||
| 3 | Linear OA(27106, 531521, F27, 23) (dual of [531521, 531415, 24]-code) | [i] | ||
| 4 | Linear OA(27107, 531527, F27, 23) (dual of [531527, 531420, 24]-code) | [i] | ||
| 5 | Linear OA(27108, 531553, F27, 23) (dual of [531553, 531445, 24]-code) | [i] | ||
| 6 | Linear OA(27109, 531631, F27, 23) (dual of [531631, 531522, 24]-code) | [i] | ||
| 7 | Linear OA(27110, 532177, F27, 23) (dual of [532177, 532067, 24]-code) | [i] | ||
| 8 | OA(27104, 531527, S27, 23) | [i] | ||
| 9 | OA(27105, 531545, S27, 23) | [i] | ||
| 10 | OA(27107, 531561, S27, 23) | [i] | ||
| 11 | Linear OOA(2789, 265722, F27, 2, 23) (dual of [(265722, 2), 531355, 24]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(2789, 48313, F27, 23, 23) (dual of [(48313, 23), 1111110, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |