Information on Result #1010691
Linear OOA(3185, 5592409, F3, 3, 13) (dual of [(5592409, 3), 16777042, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(37, 7, F3, 3, 6) (dual of [(7, 3), 14, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,14P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- linear OOA(3178, 5592402, F3, 3, 13) (dual of [(5592402, 3), 16777028, 14]-NRT-code), using
- trace code [i] based on linear OOA(989, 2796201, F9, 3, 13) (dual of [(2796201, 3), 8388514, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(989, large, F9, 13) (dual of [large, large−89, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- OOA 3-folding [i] based on linear OA(989, large, F9, 13) (dual of [large, large−89, 14]-code), using
- trace code [i] based on linear OOA(989, 2796201, F9, 3, 13) (dual of [(2796201, 3), 8388514, 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(3185, 2796204, F3, 5, 13) (dual of [(2796204, 5), 13980835, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3185, 2796204, F3, 15, 13) (dual of [(2796204, 15), 41942875, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |