Information on Result #1084703
Linear OOA(3128, 4195516, F3, 4, 9) (dual of [(4195516, 4), 16781936, 10]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(310, 1216, F3, 4, 3) (dual of [(1216, 4), 4854, 4]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(310, 1216, F3, 3, 3) (dual of [(1216, 3), 3638, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(310, 1216, F3, 2, 3) (dual of [(1216, 2), 2422, 4]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(310, 1216, F3, 3, 3) (dual of [(1216, 3), 3638, 4]-NRT-code), using
- linear OOA(328, 2097150, F3, 4, 4) (dual of [(2097150, 4), 8388572, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(328, 2391484, F3, 4, 4) (dual of [(2391484, 4), 9565908, 5]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(328, 2391485, F3, 2, 4) (dual of [(2391485, 2), 4782942, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (24, 28, 2391485)-net over F3, using
- OOA stacking with additional row [i] based on linear OOA(328, 2391485, F3, 2, 4) (dual of [(2391485, 2), 4782942, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(328, 2391484, F3, 4, 4) (dual of [(2391484, 4), 9565908, 5]-NRT-code), using
- linear OOA(390, 2097150, F3, 4, 9) (dual of [(2097150, 4), 8388510, 10]-NRT-code), using
- OOA 4-folding [i] based on linear OA(390, 8388600, F3, 9) (dual of [8388600, 8388510, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(390, large, F3, 9) (dual of [large, large−90, 10]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(390, large, F3, 9) (dual of [large, large−90, 10]-code), using
- OOA 4-folding [i] based on linear OA(390, 8388600, F3, 9) (dual of [8388600, 8388510, 10]-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(3128, 4195515, F3, 5, 9) (dual of [(4195515, 5), 20977447, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(3128, 4195515, F3, 12, 9) (dual of [(4195515, 12), 50346052, 10]-NRT-code) | [i] | ||