Information on Result #813674
Linear OOA(3111, 3295, F3, 2, 20) (dual of [(3295, 2), 6479, 21]-NRT-code), using OOA 2-folding based on linear OA(3111, 6590, F3, 20) (dual of [6590, 6479, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3111, 6591, F3, 20) (dual of [6591, 6480, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- linear OA(3105, 6561, F3, 20) (dual of [6561, 6456, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(381, 6561, F3, 16) (dual of [6561, 6480, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(36, 30, F3, 3) (dual of [30, 24, 4]-code or 30-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
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(3111, 3295, F3, 3, 20) (dual of [(3295, 3), 9774, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3111, 3295, F3, 4, 20) (dual of [(3295, 4), 13069, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(3111, 3295, F3, 5, 20) (dual of [(3295, 5), 16364, 21]-NRT-code) | [i] | ||
| 4 | Digital (91, 111, 3295)-net over F3 | [i] | ||