Information on Result #1117101
Linear OOA(3112, 1678774, F3, 5, 10) (dual of [(1678774, 5), 8393758, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(321, 1054, F3, 5, 5) (dual of [(1054, 5), 5249, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(321, 2109, F3, 5) (dual of [2109, 2088, 6]-code), using
- trace code [i] based on linear OA(277, 703, F27, 5) (dual of [703, 696, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(321, 2109, F3, 5) (dual of [2109, 2088, 6]-code), using
- linear OOA(391, 1677720, F3, 5, 10) (dual of [(1677720, 5), 8388509, 11]-NRT-code), using
- OOA 5-folding [i] based on linear OA(391, 8388600, F3, 10) (dual of [8388600, 8388509, 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 5-folding [i] based on linear OA(391, 8388600, F3, 10) (dual of [8388600, 8388509, 11]-code), using
Mode: Constructive and 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(3112, 1678773, F3, 15, 10) (dual of [(1678773, 15), 25181483, 11]-NRT-code) | [i] | OOA Stacking with Additional Row | |