Information on Result #699288
Linear OA(8177, 531484, F81, 23) (dual of [531484, 531407, 24]-code), using construction X applied to Ce(22) ⊂ Ce(11) based on
- linear OA(8167, 531441, F81, 23) (dual of [531441, 531374, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(8134, 531441, F81, 12) (dual of [531441, 531407, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(8110, 43, F81, 10) (dual of [43, 33, 11]-code or 43-arc in PG(9,81)), using
- discarding factors / shortening the dual code based on linear OA(8110, 81, F81, 10) (dual of [81, 71, 11]-code or 81-arc in PG(9,81)), using
- Reed–Solomon code RS(71,81) [i]
- discarding factors / shortening the dual code based on linear OA(8110, 81, F81, 10) (dual of [81, 71, 11]-code or 81-arc in PG(9,81)), 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 OOA(8177, 265742, F81, 2, 23) (dual of [(265742, 2), 531407, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8177, 177161, F81, 3, 23) (dual of [(177161, 3), 531406, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(8177, 132871, F81, 4, 23) (dual of [(132871, 4), 531407, 24]-NRT-code) | [i] | ||