Information on Result #699195
Linear OA(8117, 531448, F81, 6) (dual of [531448, 531431, 7]-code), using construction X applied to Ce(5) ⊂ Ce(3) based on
- linear OA(8116, 531441, F81, 6) (dual of [531441, 531425, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(8110, 531441, F81, 4) (dual of [531441, 531431, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(811, 7, F81, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 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 OOA(8117, 265724, F81, 2, 6) (dual of [(265724, 2), 531431, 7]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8117, 177149, F81, 3, 6) (dual of [(177149, 3), 531430, 7]-NRT-code) | [i] | ||
| 3 | Linear OOA(8117, 177149, F81, 4, 6) (dual of [(177149, 4), 708579, 7]-NRT-code) | [i] | OA Folding and Stacking | |
| 4 | Linear OOA(8117, 177149, F81, 6, 6) (dual of [(177149, 6), 1062877, 7]-NRT-code) | [i] | ||