Information on Result #1528221
Linear OOA(3201, 3671, F3, 3, 37) (dual of [(3671, 3), 10812, 38]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3201, 3671, F3, 37) (dual of [3671, 3470, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(3201, 6590, F3, 37) (dual of [6590, 6389, 38]-code), using
- construction X applied to C([0,18]) ⊂ C([0,15]) [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(3161, 6562, F3, 31) (dual of [6562, 6401, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- construction X applied to C([0,18]) ⊂ C([0,15]) [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(3201, 1835, F3, 5, 37) (dual of [(1835, 5), 8974, 38]-NRT-code) | [i] | OOA Folding | |