Information on Result #1538689
Linear OOA(4163, 6806010, F4, 3, 17) (dual of [(6806010, 3), 20417867, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4163, 6806010, F4, 17) (dual of [6806010, 6805847, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(4163, large, F4, 17) (dual of [large, large−163, 18]-code), using
- 18 times code embedding in larger space [i] based on linear OA(4145, large, F4, 17) (dual of [large, large−145, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- 18 times code embedding in larger space [i] based on linear OA(4145, large, F4, 17) (dual of [large, large−145, 18]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(4163, 2268669, F4, 21, 17) (dual of [(2268669, 21), 47641886, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |