Information on Result #1018663
Linear OOA(8159, 2796383, F81, 3, 13) (dual of [(2796383, 3), 8389090, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8110, 182, F81, 3, 6) (dual of [(182, 3), 536, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(813, 82, F81, 3, 3) (dual of [(82, 3), 243, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;243,81) [i]
- linear OOA(817, 100, F81, 3, 6) (dual of [(100, 3), 293, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,293P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(813, 82, F81, 3, 3) (dual of [(82, 3), 243, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8149, 2796201, F81, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(8149, large, F81, 13) (dual of [large, large−49, 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(8159, 1398191, F81, 15, 13) (dual of [(1398191, 15), 20972806, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |