Information on Result #1016141
Linear OOA(9105, 5592418, F9, 3, 13) (dual of [(5592418, 3), 16777149, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(97, 16, F9, 3, 6) (dual of [(16, 3), 41, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,41P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- linear OOA(998, 5592402, F9, 3, 13) (dual of [(5592402, 3), 16777108, 14]-NRT-code), using
- trace code [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
- trace code [i] based on linear OOA(8149, 2796201, F81, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-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(9105, 2796208, F9, 15, 13) (dual of [(2796208, 15), 41943015, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |