Information on Result #1175578
Linear OOA(2232, 2797220, F2, 8, 13) (dual of [(2797220, 8), 22377528, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(264, 2097149, F2, 8, 6) (dual of [(2097149, 8), 16777128, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(264, 2097150, F2, 3, 6) (dual of [(2097150, 3), 6291386, 7]-NRT-code), using
- 1 step truncation [i] based on linear OOA(265, 2097151, F2, 3, 7) (dual of [(2097151, 3), 6291388, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(264, 2097150, F2, 3, 6) (dual of [(2097150, 3), 6291386, 7]-NRT-code), using
- linear OOA(2168, 1398610, F2, 8, 13) (dual of [(1398610, 8), 11188712, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(229, 510, F2, 8, 6) (dual of [(510, 8), 4051, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(229, 511, F2, 3, 6) (dual of [(511, 3), 1504, 7]-NRT-code), using
- strength reduction [i] based on linear OOA(229, 511, F2, 3, 7) (dual of [(511, 3), 1504, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(229, 511, F2, 3, 6) (dual of [(511, 3), 1504, 7]-NRT-code), using
- linear OOA(2139, 1398100, F2, 8, 13) (dual of [(1398100, 8), 11184661, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2139, 8388601, F2, 13) (dual of [8388601, 8388462, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2139, 8388601, F2, 13) (dual of [8388601, 8388462, 14]-code), using
- linear OOA(229, 510, F2, 8, 6) (dual of [(510, 8), 4051, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
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(2232, 2797220, F2, 8, 12) (dual of [(2797220, 8), 22377528, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |