Information on Result #1421684
Linear OOA(4107, 3636554, F4, 2, 12) (dual of [(3636554, 2), 7273001, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4107, 3636554, F4, 12) (dual of [3636554, 3636447, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(4107, 4194347, F4, 12) (dual of [4194347, 4194240, 13]-code), using
- construction X applied to Ce(12) ⊂ Ce(6) [i] based on
- linear OA(4100, 4194304, F4, 13) (dual of [4194304, 4194204, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(456, 4194304, F4, 7) (dual of [4194304, 4194248, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(12) ⊂ Ce(6) [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(4107, 1818277, F4, 3, 12) (dual of [(1818277, 3), 5454724, 13]-NRT-code) | [i] | OOA Folding | |