Information on Result #851843
Linear OOA(9111, 29527, F9, 2, 25) (dual of [(29527, 2), 58943, 26]-NRT-code), using OOA 2-folding based on linear OA(9111, 59054, F9, 25) (dual of [59054, 58943, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(9111, 59049, F9, 25) (dual of [59049, 58938, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(9106, 59049, F9, 24) (dual of [59049, 58943, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(90, 5, F9, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-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(9126, 29555, F9, 2, 25) (dual of [(29555, 2), 58984, 26]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
2 | Linear OOA(9127, 29557, F9, 2, 25) (dual of [(29557, 2), 58987, 26]-NRT-code) | [i] | ||
3 | Linear OOA(9128, 29559, F9, 2, 25) (dual of [(29559, 2), 58990, 26]-NRT-code) | [i] | ||
4 | Linear OOA(9130, 29563, F9, 2, 25) (dual of [(29563, 2), 58996, 26]-NRT-code) | [i] | ||
5 | OOA(9132, 29575, S9, 2, 25) | [i] |