Information on Result #1533229
Linear OOA(3246, 3872, F3, 3, 46) (dual of [(3872, 3), 11370, 47]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3246, 3872, F3, 46) (dual of [3872, 3626, 47]-code), using
- discarding factors / shortening the dual code based on linear OA(3246, 6582, F3, 46) (dual of [6582, 6336, 47]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3245, 6581, F3, 46) (dual of [6581, 6336, 47]-code), using
- construction X applied to Ce(45) ⊂ Ce(42) [i] based on
- linear OA(3241, 6561, F3, 46) (dual of [6561, 6320, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(3225, 6561, F3, 43) (dual of [6561, 6336, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(34, 20, F3, 2) (dual of [20, 16, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(45) ⊂ Ce(42) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3245, 6581, F3, 46) (dual of [6581, 6336, 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(3246, 1936, F3, 5, 46) (dual of [(1936, 5), 9434, 47]-NRT-code) | [i] | OOA Folding | |