Information on Result #1523535
Linear OOA(3136, 6252916, F3, 3, 12) (dual of [(6252916, 3), 18758612, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3136, 6252916, F3, 12) (dual of [6252916, 6252780, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3136, large, F3, 12) (dual of [large, large−136, 13]-code), using
- strength reduction [i] based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- strength reduction [i] based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-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(3136, 3126458, F3, 5, 12) (dual of [(3126458, 5), 15632154, 13]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3136, 3126457, F3, 15, 12) (dual of [(3126457, 15), 46896719, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |