Information on Result #689059
Linear OA(996, 4783001, F9, 15) (dual of [4783001, 4782905, 16]-code), using construction X applied to Ce(14) ⊂ Ce(10) based on
- linear OA(992, 4782969, F9, 15) (dual of [4782969, 4782877, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(964, 4782969, F9, 11) (dual of [4782969, 4782905, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(94, 32, F9, 3) (dual of [32, 28, 4]-code or 32-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(997, 4783002, F9, 15) (dual of [4783002, 4782905, 16]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(996, 4783001, F9, 2, 15) (dual of [(4783001, 2), 9565906, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(996, 4783001, F9, 3, 15) (dual of [(4783001, 3), 14348907, 16]-NRT-code) | [i] | ||
| 4 | Digital (81, 96, 4783001)-net over F9 | [i] | ||
| 5 | Linear OA(997, 4783003, F9, 15) (dual of [4783003, 4782906, 16]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OOA(996, 2391500, F9, 2, 15) (dual of [(2391500, 2), 4782904, 16]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(996, 1594333, F9, 3, 15) (dual of [(1594333, 3), 4782903, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(996, 683285, F9, 15, 15) (dual of [(683285, 15), 10249179, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |