Information on Result #1117295
Linear OOA(3169, 2796208, F3, 5, 12) (dual of [(2796208, 5), 13980871, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(37, 7, F3, 5, 6) (dual of [(7, 5), 28, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,28P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- linear OOA(3162, 2796201, F3, 5, 12) (dual of [(2796201, 5), 13980843, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3162, 5592402, F3, 3, 12) (dual of [(5592402, 3), 16777044, 13]-NRT-code), using
- trace code [i] based on linear OOA(981, 2796201, F9, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(981, large, F9, 12) (dual of [large, large−81, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(981, large, F9, 12) (dual of [large, large−81, 13]-code), using
- trace code [i] based on linear OOA(981, 2796201, F9, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3162, 5592402, F3, 3, 12) (dual of [(5592402, 3), 16777044, 13]-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(3229, 5592409, F3, 5, 12) (dual of [(5592409, 5), 27961816, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3232, 5592413, F3, 5, 12) (dual of [(5592413, 5), 27961833, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(3233, 5592416, F3, 5, 12) (dual of [(5592416, 5), 27961847, 13]-NRT-code) | [i] | ||