Information on Result #1117132
Linear OOA(3176, 5592402, F3, 5, 10) (dual of [(5592402, 5), 27961834, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(346, 4194301, F3, 5, 5) (dual of [(4194301, 5), 20971459, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(346, large, F3, 5) (dual of [large, large−46, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- OOA 2-folding and stacking with additional row [i] based on linear OA(346, large, F3, 5) (dual of [large, large−46, 6]-code), using
- linear OOA(3130, 2796201, F3, 5, 10) (dual of [(2796201, 5), 13980875, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3130, 5592402, F3, 3, 10) (dual of [(5592402, 3), 16777076, 11]-NRT-code), using
- trace code [i] based on linear OOA(965, 2796201, F9, 3, 10) (dual of [(2796201, 3), 8388538, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(965, large, F9, 10) (dual of [large, large−65, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 3-folding [i] based on linear OA(965, large, F9, 10) (dual of [large, large−65, 11]-code), using
- trace code [i] based on linear OOA(965, 2796201, F9, 3, 10) (dual of [(2796201, 3), 8388538, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3130, 5592402, F3, 3, 10) (dual of [(5592402, 3), 16777076, 11]-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(3176, 5592401, F3, 15, 10) (dual of [(5592401, 15), 83885839, 11]-NRT-code) | [i] | OOA Stacking with Additional Row | |