Information on Result #1414881
Linear OOA(3200, 1632, F3, 2, 43) (dual of [(1632, 2), 3064, 44]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3200, 1632, F3, 43) (dual of [1632, 1432, 44]-code), using
- discarding factors / shortening the dual code based on linear OA(3200, 2192, F3, 43) (dual of [2192, 1992, 44]-code), using
- construction X applied to C([0,21]) ⊂ C([0,19]) [i] based on
- linear OA(3197, 2188, F3, 43) (dual of [2188, 1991, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(3183, 2188, F3, 39) (dual of [2188, 2005, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- linear OA(33, 4, F3, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,3) or 4-cap in PG(2,3)), using
- dual of repetition code with length 4 [i]
- oval in PG(2, 3) [i]
- construction X applied to C([0,21]) ⊂ C([0,19]) [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(3200, 816, F3, 3, 43) (dual of [(816, 3), 2248, 44]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3200, 816, F3, 4, 43) (dual of [(816, 4), 3064, 44]-NRT-code) | [i] | ||