Information on Result #904920
Linear OOA(12859, 4194580, F128, 2, 13) (dual of [(4194580, 2), 8389101, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12810, 279, F128, 2, 6) (dual of [(279, 2), 548, 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(1287, 150, F128, 2, 6) (dual of [(150, 2), 293, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,293P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- 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(12849, 4194301, F128, 2, 13) (dual of [(4194301, 2), 8388553, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12849, 8388602, F128, 13) (dual of [8388602, 8388553, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(12849, large, F128, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(12849, large, F128, 13) (dual of [large, large−49, 14]-code), using
- OOA 2-folding [i] based on linear OA(12849, 8388602, F128, 13) (dual of [8388602, 8388553, 14]-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(12859, 2097290, F128, 4, 13) (dual of [(2097290, 4), 8389101, 14]-NRT-code) | [i] | OOA Folding | |