Information on Result #877210
Linear OOA(8159, 3281, F81, 2, 30) (dual of [(3281, 2), 6503, 31]-NRT-code), using OOA 2-folding based on linear OA(8159, 6562, F81, 30) (dual of [6562, 6503, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(8159, 6563, F81, 30) (dual of [6563, 6504, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- linear OA(8159, 6561, F81, 30) (dual of [6561, 6502, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(8157, 6561, F81, 29) (dual of [6561, 6504, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
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(8174, 3363, F81, 2, 30) (dual of [(3363, 2), 6652, 31]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8175, 3381, F81, 2, 30) (dual of [(3381, 2), 6687, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(8176, 3397, F81, 2, 30) (dual of [(3397, 2), 6718, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(8178, 3431, F81, 2, 30) (dual of [(3431, 2), 6784, 31]-NRT-code) | [i] | ||
| 5 | Linear OOA(8179, 3441, F81, 2, 30) (dual of [(3441, 2), 6803, 31]-NRT-code) | [i] | ||
| 6 | Linear OOA(8181, 3453, F81, 2, 30) (dual of [(3453, 2), 6825, 31]-NRT-code) | [i] | ||
| 7 | Linear OOA(8182, 3463, F81, 2, 30) (dual of [(3463, 2), 6844, 31]-NRT-code) | [i] | ||