Information on Result #689182
Linear OA(951, 531451, F9, 10) (dual of [531451, 531400, 11]-code), using construction X applied to Ce(9) ⊂ Ce(6) based on
- linear OA(949, 531441, F9, 10) (dual of [531441, 531392, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(937, 531441, F9, 7) (dual of [531441, 531404, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(951, 433124, F9, 2, 10) (dual of [(433124, 2), 866197, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(951, 433124, F9, 3, 10) (dual of [(433124, 3), 1299321, 11]-NRT-code) | [i] | ||
| 3 | Digital (41, 51, 433124)-net over F9 | [i] | ||
| 4 | Linear OOA(951, 265725, F9, 2, 10) (dual of [(265725, 2), 531399, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(951, 177150, F9, 3, 10) (dual of [(177150, 3), 531399, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(951, 106290, F9, 10, 10) (dual of [(106290, 10), 1062849, 11]-NRT-code) | [i] | OA Folding and Stacking | |