Information on Result #689048
Linear OA(961, 4782994, F9, 10) (dual of [4782994, 4782933, 11]-code), using construction X applied to Ce(9) ⊂ Ce(5) based on
- linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(936, 4782969, F9, 6) (dual of [4782969, 4782933, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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 OA(960, 4782993, F9, 9) (dual of [4782993, 4782933, 10]-code) | [i] | Truncation | |
| 2 | Linear OOA(961, 4782994, F9, 2, 10) (dual of [(4782994, 2), 9565927, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(961, 4782994, F9, 3, 10) (dual of [(4782994, 3), 14348921, 11]-NRT-code) | [i] | ||
| 4 | Digital (51, 61, 4782994)-net over F9 | [i] | ||
| 5 | Linear OOA(961, 2391497, F9, 2, 10) (dual of [(2391497, 2), 4782933, 11]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(961, 1594331, F9, 3, 10) (dual of [(1594331, 3), 4782932, 11]-NRT-code) | [i] | ||
| 7 | Linear OOA(961, 956598, F9, 10, 10) (dual of [(956598, 10), 9565919, 11]-NRT-code) | [i] | OA Folding and Stacking | |