Information on Result #1143419
Linear OOA(2194, 1660242, F2, 6, 12) (dual of [(1660242, 6), 9961258, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(256, 262142, F2, 6, 6) (dual of [(262142, 6), 1572796, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(256, 262143, F2, 3, 6) (dual of [(262143, 3), 786373, 7]-NRT-code), using
- strength reduction [i] based on linear OOA(256, 262143, F2, 3, 7) (dual of [(262143, 3), 786373, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(256, 262143, F2, 3, 6) (dual of [(262143, 3), 786373, 7]-NRT-code), using
- linear OOA(2138, 1398100, F2, 6, 12) (dual of [(1398100, 6), 8388462, 13]-NRT-code), using
- OOA 6-folding [i] based on linear OA(2138, 8388600, F2, 12) (dual of [8388600, 8388462, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- OOA 6-folding [i] based on linear OA(2138, 8388600, F2, 12) (dual of [8388600, 8388462, 13]-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(2194, 1660241, F2, 7, 12) (dual of [(1660241, 7), 11621493, 13]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2194, 1660241, F2, 8, 12) (dual of [(1660241, 8), 13281734, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(2194, 1660241, F2, 18, 12) (dual of [(1660241, 18), 29884144, 13]-NRT-code) | [i] | ||