Information on Result #1525809
Linear OOA(3173, 1506, F3, 3, 37) (dual of [(1506, 3), 4345, 38]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3173, 1506, F3, 37) (dual of [1506, 1333, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(3173, 2198, F3, 37) (dual of [2198, 2025, 38]-code), using
- construction X applied to C([0,18]) ⊂ C([0,16]) [i] based on
- linear OA(3169, 2188, F3, 37) (dual of [2188, 2019, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(3155, 2188, F3, 33) (dual of [2188, 2033, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(34, 10, F3, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,3)), 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(3173, 753, F3, 5, 37) (dual of [(753, 5), 3592, 38]-NRT-code) | [i] | OOA Folding | |