Information on Result #1409954
Linear OOA(3125, 7769474, F3, 2, 11) (dual of [(7769474, 2), 15538823, 12]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3125, 7769474, F3, 11) (dual of [7769474, 7769349, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(3125, large, F3, 11) (dual of [large, large−125, 12]-code), using
- 19 times code embedding in larger space [i] based on linear OA(3106, large, F3, 11) (dual of [large, large−106, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- 19 times code embedding in larger space [i] based on linear OA(3106, large, F3, 11) (dual of [large, large−106, 12]-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(3125, 3884737, F3, 3, 11) (dual of [(3884737, 3), 11654086, 12]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3125, 3884737, F3, 4, 11) (dual of [(3884737, 4), 15538823, 12]-NRT-code) | [i] | ||