Information on Result #1323735
Linear OA(4253, 16440, F4, 46) (dual of [16440, 16187, 47]-code), using construction X applied to Ce(45) ⊂ Ce(37) based on
- linear OA(4239, 16384, F4, 46) (dual of [16384, 16145, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(4197, 16384, F4, 38) (dual of [16384, 16187, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(414, 56, F4, 7) (dual of [56, 42, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(414, 65, F4, 7) (dual of [65, 51, 8]-code), using
- a “GraXX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(414, 65, F4, 7) (dual of [65, 51, 8]-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 OA(4254, 16442, F4, 46) (dual of [16442, 16188, 47]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OA(4255, 16444, F4, 46) (dual of [16444, 16189, 47]-code) | [i] | ||
| 3 | Linear OOA(4253, 8220, F4, 2, 46) (dual of [(8220, 2), 16187, 47]-NRT-code) | [i] | OOA Folding | |