Information on Result #679874
Linear OA(4243, 4176, F4, 48) (dual of [4176, 3933, 49]-code), using construction X applied to Ce(48) ⊂ Ce(36) based on
- linear OA(4217, 4096, F4, 49) (dual of [4096, 3879, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(4163, 4096, F4, 37) (dual of [4096, 3933, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(426, 80, F4, 10) (dual of [80, 54, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(426, 85, F4, 10) (dual of [85, 59, 11]-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(4247, 4180, F4, 48) (dual of [4180, 3933, 49]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4248, 4181, F4, 48) (dual of [4181, 3933, 49]-code) | [i] | ||
| 3 | Linear OOA(4243, 2088, F4, 2, 48) (dual of [(2088, 2), 3933, 49]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4243, 1392, F4, 3, 48) (dual of [(1392, 3), 3933, 49]-NRT-code) | [i] | ||