Information on Result #689386
Linear OA(948, 59059, F9, 11) (dual of [59059, 59011, 12]-code), using construction X applied to Ce(10) ⊂ Ce(7) 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]
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(948, 49876, F9, 2, 11) (dual of [(49876, 2), 99704, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(948, 49876, F9, 3, 11) (dual of [(49876, 3), 149580, 12]-NRT-code) | [i] | ||
| 3 | Digital (37, 48, 49876)-net over F9 | [i] | ||
| 4 | Linear OOA(948, 29529, F9, 2, 11) (dual of [(29529, 2), 59010, 12]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(948, 19686, F9, 3, 11) (dual of [(19686, 3), 59010, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(948, 11811, F9, 11, 11) (dual of [(11811, 11), 129873, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |