Information on Result #1425739
Linear OOA(4173, 3554, F4, 2, 38) (dual of [(3554, 2), 6935, 39]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4173, 3554, F4, 38) (dual of [3554, 3381, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(4173, 4113, F4, 38) (dual of [4113, 3940, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(33) [i] based on
- linear OA(4169, 4096, F4, 38) (dual of [4096, 3927, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4151, 4096, F4, 34) (dual of [4096, 3945, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(37) ⊂ Ce(33) [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(4173, 1777, F4, 3, 38) (dual of [(1777, 3), 5158, 39]-NRT-code) | [i] | OOA Folding | |