Information on Result #689037
Linear OA(9124, 4782994, F9, 20) (dual of [4782994, 4782870, 21]-code), using construction X applied to Ce(19) ⊂ Ce(15) based on
- linear OA(9120, 4782969, F9, 20) (dual of [4782969, 4782849, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(999, 4782969, F9, 16) (dual of [4782969, 4782870, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(9124, 3131092, F9, 2, 20) (dual of [(3131092, 2), 6262060, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9124, 3131092, F9, 3, 20) (dual of [(3131092, 3), 9393152, 21]-NRT-code) | [i] | ||
| 3 | Digital (104, 124, 3131092)-net over F9 | [i] | ||
| 4 | Linear OOA(9124, 2391497, F9, 2, 20) (dual of [(2391497, 2), 4782870, 21]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9124, 1594331, F9, 3, 20) (dual of [(1594331, 3), 4782869, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(9124, 478299, F9, 20, 20) (dual of [(478299, 20), 9565856, 21]-NRT-code) | [i] | OA Folding and Stacking | |