Information on Result #941060
Linear OOA(2242, 4194308, F2, 2, 20) (dual of [(4194308, 2), 8388374, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(212, 7, F2, 2, 10) (dual of [(7, 2), 2, 11]-NRT-code), using
- 4 step truncation [i] based on linear OOA(216, 9, F2, 2, 14) (dual of [(9, 2), 2, 15]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(24, 3, F2, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,2) [i]
- repeating each code word 3 times [i] based on linear OOA(24, 3, F2, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
- 4 step truncation [i] based on linear OOA(216, 9, F2, 2, 14) (dual of [(9, 2), 2, 15]-NRT-code), using
- linear OOA(2230, 4194301, F2, 2, 20) (dual of [(4194301, 2), 8388372, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2230, 8388602, F2, 20) (dual of [8388602, 8388372, 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 2-folding [i] based on linear OA(2230, 8388602, F2, 20) (dual of [8388602, 8388372, 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(2242, 2097154, F2, 4, 20) (dual of [(2097154, 4), 8388374, 21]-NRT-code) | [i] | OOA Folding | |