Information on Result #1431064
Linear OOA(4222, 4112, F4, 2, 49) (dual of [(4112, 2), 8002, 50]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4222, 4112, F4, 49) (dual of [4112, 3890, 50]-code), using
- discarding factors / shortening the dual code based on linear OA(4222, 4119, F4, 49) (dual of [4119, 3897, 50]-code), using
- construction X applied to Ce(48) ⊂ Ce(44) [i] based on
- linear OA(4217, 4096, F4, 49) (dual of [4096, 3879, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(4199, 4096, F4, 45) (dual of [4096, 3897, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(45, 23, F4, 3) (dual of [23, 18, 4]-code or 23-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(48) ⊂ Ce(44) [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(4222, 2056, F4, 3, 49) (dual of [(2056, 3), 5946, 50]-NRT-code) | [i] | OOA Folding | |