Information on Result #1414809
Linear OOA(3199, 6378760, F3, 2, 17) (dual of [(6378760, 2), 12757321, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3199, 6378760, F3, 17) (dual of [6378760, 6378561, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3199, large, F3, 17) (dual of [large, large−199, 18]-code), using
- 33 times code embedding in larger space [i] based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- 33 times code embedding in larger space [i] based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 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(3199, 3189380, F3, 3, 17) (dual of [(3189380, 3), 9567941, 18]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3199, 3189380, F3, 4, 17) (dual of [(3189380, 4), 12757321, 18]-NRT-code) | [i] | ||