Information on Result #894501
Linear OOA(2253, 4195325, F2, 2, 19) (dual of [(4195325, 2), 8390397, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(245, 1024, F2, 2, 9) (dual of [(1024, 2), 2003, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(245, 2048, F2, 9) (dual of [2048, 2003, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- OOA 2-folding [i] based on linear OA(245, 2048, F2, 9) (dual of [2048, 2003, 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(2253, 2097662, F2, 4, 19) (dual of [(2097662, 4), 8390395, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2253, 1048831, F2, 8, 19) (dual of [(1048831, 8), 8390395, 20]-NRT-code) | [i] | ||