Information on Result #1014342
Linear OOA(889, 5596435, F8, 3, 10) (dual of [(5596435, 3), 16789216, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(815, 4033, F8, 3, 5) (dual of [(4033, 3), 12084, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(815, 8067, F8, 5) (dual of [8067, 8052, 6]-code), using
- 1 times code embedding in larger space [i] based on linear OA(814, 8066, F8, 5) (dual of [8066, 8052, 6]-code), using
- trace code [i] based on linear OA(647, 4033, F64, 5) (dual of [4033, 4026, 6]-code), using
- 1 times code embedding in larger space [i] based on linear OA(814, 8066, F8, 5) (dual of [8066, 8052, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(815, 8067, F8, 5) (dual of [8067, 8052, 6]-code), using
- linear OOA(874, 5592402, F8, 3, 10) (dual of [(5592402, 3), 16777132, 11]-NRT-code), using
- trace code [i] based on linear OOA(6437, 2796201, F64, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 3-folding [i] based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- trace code [i] based on linear OOA(6437, 2796201, F64, 3, 10) (dual of [(2796201, 3), 8388566, 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(889, 2798217, F8, 15, 10) (dual of [(2798217, 15), 41973166, 11]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |