Information on Result #679839
Linear OA(4187, 4156, F4, 38) (dual of [4156, 3969, 39]-code), using construction X applied to Ce(37) ⊂ Ce(28) based on
- linear OA(4169, 4096, F4, 38) (dual of [4096, 3927, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4127, 4096, F4, 29) (dual of [4096, 3969, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(418, 60, F4, 8) (dual of [60, 42, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(418, 63, F4, 8) (dual of [63, 45, 9]-code), using
- the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(418, 63, F4, 8) (dual of [63, 45, 9]-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(4188, 4157, F4, 38) (dual of [4157, 3969, 39]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4189, 4158, F4, 38) (dual of [4158, 3969, 39]-code) | [i] | ||
| 3 | Linear OA(4190, 4159, F4, 38) (dual of [4159, 3969, 39]-code) | [i] | ||
| 4 | Linear OOA(4187, 2078, F4, 2, 38) (dual of [(2078, 2), 3969, 39]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4187, 1385, F4, 3, 38) (dual of [(1385, 3), 3968, 39]-NRT-code) | [i] | ||