Information on Result #1010641
Linear OOA(3178, 5592448, F3, 3, 12) (dual of [(5592448, 3), 16777166, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(316, 46, F3, 3, 6) (dual of [(46, 3), 122, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(33, 4, F3, 3, 3) (dual of [(4, 3), 9, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;9,3) [i]
- linear OOA(313, 42, F3, 3, 6) (dual of [(42, 3), 113, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 13, 42)-net over F3, using
- linear OOA(33, 4, F3, 3, 3) (dual of [(4, 3), 9, 4]-NRT-code), using
- (u, u+v)-construction [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
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(3178, 2796224, F3, 5, 12) (dual of [(2796224, 5), 13980942, 13]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3178, 2796223, F3, 15, 12) (dual of [(2796223, 15), 41943167, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |