Information on Result #1082505
Linear OOA(8159, 2097332, F81, 4, 13) (dual of [(2097332, 4), 8389269, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8110, 182, F81, 4, 6) (dual of [(182, 4), 718, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(813, 82, F81, 4, 3) (dual of [(82, 4), 325, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;325,81) [i]
- linear OOA(817, 100, F81, 4, 6) (dual of [(100, 4), 393, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,393P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(813, 82, F81, 4, 3) (dual of [(82, 4), 325, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8149, 2097150, F81, 4, 13) (dual of [(2097150, 4), 8388551, 14]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8149, 8388600, F81, 13) (dual of [8388600, 8388551, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(8149, large, F81, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, 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(8149, large, F81, 13) (dual of [large, large−49, 14]-code), using
- OOA 4-folding [i] based on linear OA(8149, 8388600, F81, 13) (dual of [8388600, 8388551, 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(8180, 4194664, F81, 4, 13) (dual of [(4194664, 4), 16778576, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |