Information on Result #1080141
Linear OOA(2253, 2097175, F2, 4, 20) (dual of [(2097175, 4), 8388447, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(223, 25, F2, 4, 10) (dual of [(25, 4), 77, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (13, 23, 25)-net over F2, using
- 2 times m-reduction [i] based on digital (13, 25, 25)-net over F2, using
- extracting embedded OOA [i] based on digital (13, 23, 25)-net over F2, using
- linear OOA(2230, 2097150, F2, 4, 20) (dual of [(2097150, 4), 8388370, 21]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2230, 8388600, F2, 20) (dual of [8388600, 8388370, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2230, large, F2, 20) (dual of [large, large−230, 21]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(2230, large, F2, 20) (dual of [large, large−230, 21]-code), using
- OOA 4-folding [i] based on linear OA(2230, 8388600, F2, 20) (dual of [8388600, 8388370, 21]-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(2253, 1048587, F2, 8, 20) (dual of [(1048587, 8), 8388443, 21]-NRT-code) | [i] | OOA Folding | |