Information on Result #1426327
Linear OOA(4179, 3818, F4, 2, 39) (dual of [(3818, 2), 7457, 40]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4179, 3818, F4, 39) (dual of [3818, 3639, 40]-code), using
- discarding factors / shortening the dual code based on linear OA(4179, 4113, F4, 39) (dual of [4113, 3934, 40]-code), using
- construction X applied to Ce(38) ⊂ Ce(34) [i] 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
- construction X applied to Ce(38) ⊂ Ce(34) [i] based on
Mode: 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, 1909, F4, 3, 39) (dual of [(1909, 3), 5548, 40]-NRT-code) | [i] | OOA Folding | |