Information on Result #679262
Linear OA(4212, 16462, F4, 36) (dual of [16462, 16250, 37]-code), using construction X applied to Ce(36) ⊂ Ce(25) based on
- linear OA(4190, 16384, F4, 37) (dual of [16384, 16194, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4134, 16384, F4, 26) (dual of [16384, 16250, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(422, 78, F4, 9) (dual of [78, 56, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(422, 85, F4, 9) (dual of [85, 63, 10]-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(4213, 16463, F4, 36) (dual of [16463, 16250, 37]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4214, 16464, F4, 36) (dual of [16464, 16250, 37]-code) | [i] | ||
| 3 | Linear OOA(4212, 8231, F4, 2, 36) (dual of [(8231, 2), 16250, 37]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4212, 5487, F4, 3, 36) (dual of [(5487, 3), 16249, 37]-NRT-code) | [i] | ||