Information on Result #1530538
Linear OOA(3224, 2219, F3, 3, 46) (dual of [(2219, 3), 6433, 47]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3224, 2219, F3, 46) (dual of [2219, 1995, 47]-code), using
- discarding factors / shortening the dual code based on linear OA(3224, 2228, F3, 46) (dual of [2228, 2004, 47]-code), using
- 3 times code embedding in larger space [i] based on linear OA(3221, 2225, F3, 46) (dual of [2225, 2004, 47]-code), using
- construction X applied to Ce(45) ⊂ Ce(39) [i] based on
- linear OA(3211, 2187, F3, 46) (dual of [2187, 1976, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(3183, 2187, F3, 40) (dual of [2187, 2004, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(310, 38, F3, 5) (dual of [38, 28, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(310, 39, F3, 5) (dual of [39, 29, 6]-code), using
- construction X applied to Ce(45) ⊂ Ce(39) [i] based on
- 3 times code embedding in larger space [i] based on linear OA(3221, 2225, F3, 46) (dual of [2225, 2004, 47]-code), using
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(3224, 1109, F3, 5, 46) (dual of [(1109, 5), 5321, 47]-NRT-code) | [i] | OOA Folding | |