Information on Result #1559740
Linear OOA(948, 49876, F9, 3, 11) (dual of [(49876, 3), 149580, 12]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(948, 49876, F9, 11) (dual of [49876, 49828, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(948, 59059, F9, 11) (dual of [59059, 59011, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(7) [i] based on
- linear OA(946, 59049, F9, 11) (dual of [59049, 59003, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(936, 59049, F9, 8) (dual of [59049, 59013, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(92, 10, F9, 2) (dual of [10, 8, 3]-code or 10-arc in PG(1,9)), using
- extended Reed–Solomon code RSe(8,9) [i]
- Hamming code H(2,9) [i]
- construction X applied to Ce(10) ⊂ Ce(7) [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(948, 24937, F9, 15, 11) (dual of [(24937, 15), 374007, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |