Information on Result #689046
Linear OA(975, 4782994, F9, 12) (dual of [4782994, 4782919, 13]-code), using construction X applied to Ce(11) ⊂ Ce(7) based on
- linear OA(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(950, 4782969, F9, 8) (dual of [4782969, 4782919, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(94, 25, F9, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,9)), using
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(975, 4782994, F9, 2, 12) (dual of [(4782994, 2), 9565913, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(975, 4782994, F9, 3, 12) (dual of [(4782994, 3), 14348907, 13]-NRT-code) | [i] | ||
| 3 | Digital (63, 75, 4782994)-net over F9 | [i] | ||
| 4 | Linear OOA(975, 2391497, F9, 2, 12) (dual of [(2391497, 2), 4782919, 13]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(975, 1594331, F9, 3, 12) (dual of [(1594331, 3), 4782918, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(975, 797165, F9, 12, 12) (dual of [(797165, 12), 9565905, 13]-NRT-code) | [i] | OA Folding and Stacking | |