Information on Result #894497
Linear OOA(2249, 4194813, F2, 2, 19) (dual of [(4194813, 2), 8389377, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(241, 512, F2, 2, 9) (dual of [(512, 2), 983, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(241, 1024, F2, 9) (dual of [1024, 983, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- OOA 2-folding [i] based on linear OA(241, 1024, F2, 9) (dual of [1024, 983, 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(2249, 2097406, F2, 4, 19) (dual of [(2097406, 4), 8389375, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2249, 1398271, F2, 6, 19) (dual of [(1398271, 6), 8389377, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(2249, 1048703, F2, 8, 19) (dual of [(1048703, 8), 8389375, 20]-NRT-code) | [i] | ||