Information on Result #679209
Linear OA(4255, 16442, F4, 46) (dual of [16442, 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(416, 58, F4, 7) (dual of [58, 42, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(416, 63, F4, 7) (dual of [63, 47, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(416, 63, F4, 7) (dual of [63, 47, 8]-code), using
Mode: Constructive and 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(4256, 16443, F4, 46) (dual of [16443, 16187, 47]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4256, 16444, F4, 46) (dual of [16444, 16188, 47]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OOA(4255, 8221, F4, 2, 46) (dual of [(8221, 2), 16187, 47]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4255, 5480, F4, 3, 46) (dual of [(5480, 3), 16185, 47]-NRT-code) | [i] | ||