Information on Result #894504
Linear OOA(2257, 4196349, F2, 2, 19) (dual of [(4196349, 2), 8392441, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(249, 2048, F2, 2, 9) (dual of [(2048, 2), 4047, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(249, 4096, F2, 9) (dual of [4096, 4047, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- OOA 2-folding [i] based on linear OA(249, 4096, F2, 9) (dual of [4096, 4047, 10]-code), using
- linear OOA(2208, 4194301, F2, 2, 19) (dual of [(4194301, 2), 8388394, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2208, 8388602, F2, 19) (dual of [8388602, 8388394, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- OOA 2-folding [i] based on linear OA(2208, 8388602, F2, 19) (dual of [8388602, 8388394, 20]-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(2257, 2098174, F2, 4, 19) (dual of [(2098174, 4), 8392439, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2257, 1398783, F2, 6, 19) (dual of [(1398783, 6), 8392441, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(2257, 1049087, F2, 8, 19) (dual of [(1049087, 8), 8392439, 20]-NRT-code) | [i] | ||