Information on Result #1062182
Linear OOA(3244, 44289, F3, 4, 34) (dual of [(44289, 4), 176912, 35]-NRT-code), using OOA 4-folding based on linear OA(3244, 177156, F3, 34) (dual of [177156, 176912, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(3244, 177159, F3, 34) (dual of [177159, 176915, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(31) [i] based on
- linear OA(3243, 177147, F3, 34) (dual of [177147, 176904, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3232, 177147, F3, 32) (dual of [177147, 176915, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(31, 12, F3, 1) (dual of [12, 11, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(33) ⊂ Ce(31) [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(3244, 44289, F3, 5, 34) (dual of [(44289, 5), 221201, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (210, 244, 44289)-net over F3 | [i] | ||