Information on Result #1464094
Linear OOA(8167, 422271, F81, 2, 21) (dual of [(422271, 2), 844475, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8167, 422271, F81, 21) (dual of [422271, 422204, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(8167, 531468, F81, 21) (dual of [531468, 531401, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(13) [i] based on
- linear OA(8161, 531441, F81, 21) (dual of [531441, 531380, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(8140, 531441, F81, 14) (dual of [531441, 531401, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(816, 27, F81, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,81)), using
- discarding factors / shortening the dual code based on linear OA(816, 81, F81, 6) (dual of [81, 75, 7]-code or 81-arc in PG(5,81)), using
- Reed–Solomon code RS(75,81) [i]
- discarding factors / shortening the dual code based on linear OA(816, 81, F81, 6) (dual of [81, 75, 7]-code or 81-arc in PG(5,81)), using
- construction X applied to Ce(20) ⊂ Ce(13) [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(8167, 211135, F81, 3, 21) (dual of [(211135, 3), 633338, 22]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8167, 211135, F81, 4, 21) (dual of [(211135, 4), 844473, 22]-NRT-code) | [i] | ||