Information on Result #1115680
Linear OOA(2167, 1678229, F2, 5, 13) (dual of [(1678229, 5), 8390978, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(228, 509, F2, 5, 6) (dual of [(509, 5), 2517, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(228, 510, F2, 3, 6) (dual of [(510, 3), 1502, 7]-NRT-code), using
- 1 step truncation [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(228, 510, F2, 3, 6) (dual of [(510, 3), 1502, 7]-NRT-code), using
- linear OOA(2139, 1677720, F2, 5, 13) (dual of [(1677720, 5), 8388461, 14]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2139, 8388600, F2, 13) (dual of [8388600, 8388461, 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 5-folding [i] based on linear OA(2139, 8388600, F2, 13) (dual of [8388600, 8388461, 14]-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(2231, 3356458, F2, 5, 13) (dual of [(3356458, 5), 16782059, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |