Information on Result #1463646
Linear OOA(8127, 5183, F81, 2, 12) (dual of [(5183, 2), 10339, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8127, 5183, F81, 12) (dual of [5183, 5156, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(8127, 6575, F81, 12) (dual of [6575, 6548, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(6) [i] based on
- linear OA(8123, 6561, F81, 12) (dual of [6561, 6538, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(8113, 6561, F81, 7) (dual of [6561, 6548, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(814, 14, F81, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,81)), using
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), using
- Reed–Solomon code RS(77,81) [i]
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), using
- construction X applied to Ce(11) ⊂ Ce(6) [i] based on
Mode: 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(8127, 2591, F81, 3, 12) (dual of [(2591, 3), 7746, 13]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8127, 2591, F81, 4, 12) (dual of [(2591, 4), 10337, 13]-NRT-code) | [i] | ||