Information on Result #1528804
Linear OOA(3207, 4725454, F3, 3, 18) (dual of [(4725454, 3), 14176155, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3207, 4725454, F3, 18) (dual of [4725454, 4725247, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(3207, large, F3, 18) (dual of [large, large−207, 19]-code), using
- 27 times code embedding in larger space [i] based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 27 times code embedding in larger space [i] based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-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(3207, 2362727, F3, 5, 18) (dual of [(2362727, 5), 11813428, 19]-NRT-code) | [i] | OOA Folding | |