Information on Result #905053
Linear OOA(12877, 4194559, F128, 2, 17) (dual of [(4194559, 2), 8389041, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12812, 258, F128, 2, 8) (dual of [(258, 2), 504, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1284, 129, F128, 2, 4) (dual of [(129, 2), 254, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;254,128) [i]
- linear OOA(1288, 129, F128, 2, 8) (dual of [(129, 2), 250, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;250,128) [i]
- linear OOA(1284, 129, F128, 2, 4) (dual of [(129, 2), 254, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12865, 4194301, F128, 2, 17) (dual of [(4194301, 2), 8388537, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12865, 8388602, F128, 17) (dual of [8388602, 8388537, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(12865, large, F128, 17) (dual of [large, large−65, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, 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(12865, large, F128, 17) (dual of [large, large−65, 18]-code), using
- OOA 2-folding [i] based on linear OA(12865, 8388602, F128, 17) (dual of [8388602, 8388537, 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(12877, 2097279, F128, 4, 17) (dual of [(2097279, 4), 8389039, 18]-NRT-code) | [i] | OOA Folding | |