Information on Result #679811
Linear OA(4239, 4148, F4, 50) (dual of [4148, 3909, 51]-code), using construction X applied to Ce(49) ⊂ Ce(41) based on
- linear OA(4223, 4096, F4, 50) (dual of [4096, 3873, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(4187, 4096, F4, 42) (dual of [4096, 3909, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(416, 52, F4, 7) (dual of [52, 36, 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(4240, 4149, F4, 50) (dual of [4149, 3909, 51]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4239, 2074, F4, 2, 50) (dual of [(2074, 2), 3909, 51]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4239, 1382, F4, 3, 50) (dual of [(1382, 3), 3907, 51]-NRT-code) | [i] | ||