Information on Result #689408
Linear OA(995, 59068, F9, 21) (dual of [59068, 58973, 22]-code), using construction X applied to Ce(20) ⊂ Ce(16) based on
- linear OA(991, 59049, F9, 21) (dual of [59049, 58958, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(976, 59049, F9, 17) (dual of [59049, 58973, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(94, 19, F9, 3) (dual of [19, 15, 4]-code or 19-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(995, 52122, F9, 2, 21) (dual of [(52122, 2), 104149, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(995, 52122, F9, 3, 21) (dual of [(52122, 3), 156271, 22]-NRT-code) | [i] | ||
| 3 | Digital (74, 95, 52122)-net over F9 | [i] | ||
| 4 | Linear OOA(995, 29534, F9, 2, 21) (dual of [(29534, 2), 58973, 22]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(995, 19689, F9, 3, 21) (dual of [(19689, 3), 58972, 22]-NRT-code) | [i] | ||