Information on Result #679691
Linear OA(4179, 4113, F4, 39) (dual of [4113, 3934, 40]-code), using construction X applied to Ce(38) ⊂ Ce(34) based on
- linear OA(4175, 4096, F4, 39) (dual of [4096, 3921, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(4157, 4096, F4, 35) (dual of [4096, 3939, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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(4179, 3818, F4, 2, 39) (dual of [(3818, 2), 7457, 40]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4179, 3818, F4, 3, 39) (dual of [(3818, 3), 11275, 40]-NRT-code) | [i] | ||
| 3 | Digital (140, 179, 3818)-net over F4 | [i] | ||
| 4 | Linear OOA(4179, 1371, F4, 3, 39) (dual of [(1371, 3), 3934, 40]-NRT-code) | [i] | OOA Folding | |