Information on Result #1527941
Linear OOA(3198, 3338, F3, 3, 37) (dual of [(3338, 3), 9816, 38]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3198, 3338, F3, 37) (dual of [3338, 3140, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(3198, 6582, F3, 37) (dual of [6582, 6384, 38]-code), using
- construction X applied to C([0,18]) ⊂ C([0,16]) [i] based on
- linear OA(3193, 6562, F3, 37) (dual of [6562, 6369, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(3177, 6562, F3, 33) (dual of [6562, 6385, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), using
- construction X applied to C([0,18]) ⊂ C([0,16]) [i] based on
Mode: 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(3198, 1669, F3, 5, 37) (dual of [(1669, 5), 8147, 38]-NRT-code) | [i] | OOA Folding | |