Information on Result #851108
Linear OOA(977, 29530, F9, 2, 17) (dual of [(29530, 2), 58983, 18]-NRT-code), using OOA 2-folding based on linear OA(977, 59060, F9, 17) (dual of [59060, 58983, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(976, 59049, F9, 17) (dual of [59049, 58973, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(966, 59049, F9, 15) (dual of [59049, 58983, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 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(988, 29558, F9, 2, 17) (dual of [(29558, 2), 59028, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(989, 29560, F9, 2, 17) (dual of [(29560, 2), 59031, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(990, 29562, F9, 2, 17) (dual of [(29562, 2), 59034, 18]-NRT-code) | [i] | ||