Information on Result #1416106
Linear OOA(3214, 7641605, F3, 2, 18) (dual of [(7641605, 2), 15282996, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3214, 7641605, F3, 18) (dual of [7641605, 7641391, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(3214, large, F3, 18) (dual of [large, large−214, 19]-code), using
- 34 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]
- 34 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(3214, 3820802, F3, 3, 18) (dual of [(3820802, 3), 11462192, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3214, 3820802, F3, 4, 18) (dual of [(3820802, 4), 15282994, 19]-NRT-code) | [i] | ||