Information on Result #737369
Linear OA(4241, 4170, F4, 48) (dual of [4170, 3929, 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(424, 74, F4, 10) (dual of [74, 50, 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(4242, 4171, F4, 48) (dual of [4171, 3929, 49]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4241, 2085, F4, 2, 48) (dual of [(2085, 2), 3929, 49]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4241, 1390, F4, 3, 48) (dual of [(1390, 3), 3929, 49]-NRT-code) | [i] | ||