Information on Result #679736
Linear OA(447, 4113, F4, 10) (dual of [4113, 4066, 11]-code), using construction X applied to Ce(9) ⊂ Ce(5) based on
- linear OA(443, 4096, F4, 10) (dual of [4096, 4053, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(425, 4096, F4, 6) (dual of [4096, 4071, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(447, 3629, F4, 2, 10) (dual of [(3629, 2), 7211, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(447, 3629, F4, 3, 10) (dual of [(3629, 3), 10840, 11]-NRT-code) | [i] | ||
| 3 | Digital (37, 47, 3629)-net over F4 | [i] | ||
| 4 | Linear OOA(447, 2056, F4, 2, 10) (dual of [(2056, 2), 4065, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(447, 1371, F4, 3, 10) (dual of [(1371, 3), 4066, 11]-NRT-code) | [i] | ||