Information on Result #679671
Linear OA(4239, 4113, F4, 53) (dual of [4113, 3874, 54]-code), using construction X applied to Ce(52) ⊂ Ce(48) based on
- linear OA(4235, 4096, F4, 53) (dual of [4096, 3861, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- 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(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), 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 OOA(4239, 2056, F4, 2, 53) (dual of [(2056, 2), 3873, 54]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4239, 1371, F4, 3, 53) (dual of [(1371, 3), 3874, 54]-NRT-code) | [i] | ||