Information on Result #1413784
Linear OOA(3186, 6098786, F3, 2, 16) (dual of [(6098786, 2), 12197386, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3186, 6098786, F3, 16) (dual of [6098786, 6098600, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3186, large, F3, 16) (dual of [large, large−186, 17]-code), using
- 35 times code embedding in larger space [i] based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- 35 times code embedding in larger space [i] based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-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(3186, 3049393, F3, 3, 16) (dual of [(3049393, 3), 9147993, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3186, 3049393, F3, 4, 16) (dual of [(3049393, 4), 12197386, 17]-NRT-code) | [i] | ||