Information on Result #1303114
Linear OA(940, 6573, F9, 11) (dual of [6573, 6533, 12]-code), using construction X with Varšamov bound based on
- linear OA(939, 6571, F9, 11) (dual of [6571, 6532, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(7) [i] based on
- linear OA(937, 6561, F9, 11) (dual of [6561, 6524, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(929, 6561, F9, 8) (dual of [6561, 6532, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, 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
- linear OA(939, 6572, F9, 10) (dual of [6572, 6533, 11]-code), using Gilbert–Varšamov bound and bm = 939 > Vbs−1(k−1) = 8 402802 273975 511516 004704 235432 749337 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 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: 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(940, 6573, F9, 2, 11) (dual of [(6573, 2), 13106, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(940, 6573, F9, 3, 11) (dual of [(6573, 3), 19679, 12]-NRT-code) | [i] | ||
| 3 | Digital (29, 40, 6573)-net over F9 | [i] | ||