Information on Result #985326
Linear OOA(9105, 19691, F9, 3, 23) (dual of [(19691, 3), 58968, 24]-NRT-code), using OOA 3-folding based on linear OA(9105, 59073, F9, 23) (dual of [59073, 58968, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(9105, 59074, F9, 23) (dual of [59074, 58969, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,9]) [i] based on
- linear OA(9101, 59050, F9, 23) (dual of [59050, 58949, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(981, 59050, F9, 19) (dual of [59050, 58969, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(94, 24, F9, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,9)), using
- construction X applied to C([0,11]) ⊂ C([0,9]) [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(9106, 19691, F9, 3, 23) (dual of [(19691, 3), 58967, 24]-NRT-code) | [i] | OOA Duplication | |