Information on Result #731354
Linear OA(948, 1062904, F9, 8) (dual of [1062904, 1062856, 9]-code), using trace code based on linear OA(8124, 531452, F81, 8) (dual of [531452, 531428, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- linear OA(8122, 531441, F81, 8) (dual of [531441, 531419, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(8113, 531441, F81, 5) (dual of [531441, 531428, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(812, 11, F81, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,81)), using
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), using
- Reed–Solomon code RS(79,81) [i]
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), 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(948, 531452, F9, 2, 8) (dual of [(531452, 2), 1062856, 9]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(948, 354301, F9, 3, 8) (dual of [(354301, 3), 1062855, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(948, 265726, F9, 8, 8) (dual of [(265726, 8), 2125760, 9]-NRT-code) | [i] | OA Folding and Stacking | |