Information on Result #1079752
Linear OOA(2191, 2228221, F2, 4, 13) (dual of [(2228221, 4), 8912693, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(252, 131071, F2, 4, 6) (dual of [(131071, 4), 524232, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (46, 52, 131071)-net over F2, using
- 1 times m-reduction [i] based on digital (46, 53, 131071)-net over F2, using
- extracting embedded OOA [i] based on digital (46, 52, 131071)-net over F2, using
- linear OOA(2139, 2097150, F2, 4, 13) (dual of [(2097150, 4), 8388461, 14]-NRT-code), using
- OOA 4-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 4-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(2191, 2228221, F2, 4, 12) (dual of [(2228221, 4), 8912693, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2192, 2228221, F2, 4, 13) (dual of [(2228221, 4), 8912692, 14]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2255, 4325370, F2, 4, 13) (dual of [(4325370, 4), 17301225, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(2256, 4325371, F2, 4, 13) (dual of [(4325371, 4), 17301228, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(2258, 4456442, F2, 4, 13) (dual of [(4456442, 4), 17825510, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(2255, 4325371, F2, 4, 13) (dual of [(4325371, 4), 17301229, 14]-NRT-code) | [i] | ||