Information on Result #1175820
Linear OOA(2229, 1049087, F2, 8, 17) (dual of [(1049087, 8), 8392467, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(244, 512, F2, 8, 8) (dual of [(512, 8), 4052, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(244, 2048, F2, 8) (dual of [2048, 2004, 9]-code), using
- 1 times truncation [i] based on linear OA(245, 2049, F2, 9) (dual of [2049, 2004, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(245, 2049, F2, 9) (dual of [2049, 2004, 10]-code), using
- OA 4-folding and stacking [i] based on linear OA(244, 2048, F2, 8) (dual of [2048, 2004, 9]-code), using
- linear OOA(2185, 1048575, F2, 8, 17) (dual of [(1048575, 8), 8388415, 18]-NRT-code), using
- OOA 8-folding [i] based on linear OA(2185, 8388600, F2, 17) (dual of [8388600, 8388415, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- OOA 8-folding [i] based on linear OA(2185, 8388600, F2, 17) (dual of [8388600, 8388415, 18]-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(2229, 1049086, F2, 24, 17) (dual of [(1049086, 24), 25177835, 18]-NRT-code) | [i] | OOA Stacking with Additional Row | |