Information on Result #679678
Linear OA(4220, 4117, F4, 48) (dual of [4117, 3897, 49]-code), using construction X applied to Ce(48) ⊂ Ce(44) 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(4199, 4096, F4, 45) (dual of [4096, 3897, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
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 OOA(4220, 2058, F4, 2, 48) (dual of [(2058, 2), 3896, 49]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4220, 1372, F4, 3, 48) (dual of [(1372, 3), 3896, 49]-NRT-code) | [i] | ||