Information on Result #1642293
Linear OOA(3102, 4194378, F3, 5, 10) (dual of [(4194378, 5), 20971788, 11]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3102, 4194378, F3, 2, 10) (dual of [(4194378, 2), 8388654, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(311, 77, F3, 2, 5) (dual of [(77, 2), 143, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 11, 77)-net over F3, using
- linear OOA(391, 4194301, F3, 2, 10) (dual of [(4194301, 2), 8388511, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(391, 8388602, F3, 10) (dual of [8388602, 8388511, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(391, large, F3, 10) (dual of [large, large−91, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(391, large, F3, 10) (dual of [large, large−91, 11]-code), using
- OOA 2-folding [i] based on linear OA(391, 8388602, F3, 10) (dual of [8388602, 8388511, 11]-code), using
- linear OOA(311, 77, F3, 2, 5) (dual of [(77, 2), 143, 6]-NRT-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(3102, 4194377, F3, 15, 10) (dual of [(4194377, 15), 62915553, 11]-NRT-code) | [i] | OOA Stacking with Additional Row | |