Information on Result #904888
Linear OOA(12854, 4194559, F128, 2, 12) (dual of [(4194559, 2), 8389064, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1289, 258, F128, 2, 6) (dual of [(258, 2), 507, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1283, 129, F128, 2, 3) (dual of [(129, 2), 255, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;255,128) [i]
- linear OOA(1286, 129, F128, 2, 6) (dual of [(129, 2), 252, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;252,128) [i]
- linear OOA(1283, 129, F128, 2, 3) (dual of [(129, 2), 255, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12845, 4194301, F128, 2, 12) (dual of [(4194301, 2), 8388557, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12845, 8388602, F128, 12) (dual of [8388602, 8388557, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(12845, large, F128, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(12845, large, F128, 12) (dual of [large, large−45, 13]-code), using
- OOA 2-folding [i] based on linear OA(12845, 8388602, F128, 12) (dual of [8388602, 8388557, 13]-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(12854, 2097279, F128, 4, 12) (dual of [(2097279, 4), 8389062, 13]-NRT-code) | [i] | OOA Folding | |