Information on Result #1414891
Linear OOA(3200, 6863481, F3, 2, 17) (dual of [(6863481, 2), 13726762, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3200, 6863481, F3, 17) (dual of [6863481, 6863281, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3200, large, F3, 17) (dual of [large, large−200, 18]-code), using
- 34 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]
- 34 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(3200, 3431740, F3, 3, 17) (dual of [(3431740, 3), 10295020, 18]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3200, 3431740, F3, 4, 17) (dual of [(3431740, 4), 13726760, 18]-NRT-code) | [i] | ||