Information on Result #952326
Linear OOA(3103, 177157, F3, 3, 13) (dual of [(177157, 3), 531368, 14]-NRT-code), using OOA 3-folding based on linear OA(3103, 531471, F3, 13) (dual of [531471, 531368, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3103, 531472, F3, 13) (dual of [531472, 531369, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([0,4]) [i] based on
- linear OA(397, 531442, F3, 13) (dual of [531442, 531345, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(373, 531442, F3, 9) (dual of [531442, 531369, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [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 C([0,6]) ⊂ C([0,4]) [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(3104, 177157, F3, 3, 13) (dual of [(177157, 3), 531367, 14]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3103, 177157, F3, 4, 13) (dual of [(177157, 4), 708525, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3103, 177157, F3, 5, 13) (dual of [(177157, 5), 885682, 14]-NRT-code) | [i] | ||
| 4 | Digital (90, 103, 177157)-net over F3 | [i] | ||