Information on Result #1643266
Linear OOA(3124, 6876669, F3, 5, 11) (dual of [(6876669, 5), 34383221, 12]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3124, 6876669, F3, 11) (dual of [6876669, 6876545, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(3124, large, F3, 11) (dual of [large, large−124, 12]-code), using
- 18 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]
- 18 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(3124, 6876668, F3, 15, 11) (dual of [(6876668, 15), 103149896, 12]-NRT-code) | [i] | OOA Stacking with Additional Row | |