Information on Result #1119417
Linear OOA(3212, large, F3, 5, 11), using generalized (u, u+v)-construction based on
- linear OOA(320, 2796201, F3, 5, 3) (dual of [(2796201, 5), 13980985, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(320, 3713024, F3, 5, 3) (dual of [(3713024, 5), 18565100, 4]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(320, 3713024, F3, 3, 3) (dual of [(3713024, 3), 11139052, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(320, 3713024, F3, 2, 3) (dual of [(3713024, 2), 7426028, 4]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(320, 3713024, F3, 3, 3) (dual of [(3713024, 3), 11139052, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(320, 3713024, F3, 5, 3) (dual of [(3713024, 5), 18565100, 4]-NRT-code), using
- linear OOA(346, 2796201, F3, 5, 5) (dual of [(2796201, 5), 13980959, 6]-NRT-code), using
- discarding factors / shortening the dual code 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
- discarding factors / shortening the dual code based on linear OOA(346, 4194301, F3, 5, 5) (dual of [(4194301, 5), 20971459, 6]-NRT-code), using
- linear OOA(3146, 2796201, F3, 5, 11) (dual of [(2796201, 5), 13980859, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3146, 5592402, F3, 3, 11) (dual of [(5592402, 3), 16777060, 12]-NRT-code), using
- trace code [i] based on linear OOA(973, 2796201, F9, 3, 11) (dual of [(2796201, 3), 8388530, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(973, large, F9, 11) (dual of [large, large−73, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- OOA 3-folding [i] based on linear OA(973, large, F9, 11) (dual of [large, large−73, 12]-code), using
- trace code [i] based on linear OOA(973, 2796201, F9, 3, 11) (dual of [(2796201, 3), 8388530, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3146, 5592402, F3, 3, 11) (dual of [(5592402, 3), 16777060, 12]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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(3212, large, F3, 5, 10) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3212, large, F3, 5, 9) | [i] | ||
| 3 | Linear OOA(3212, large, F3, 5, 8) | [i] | ||
| 4 | Linear OOA(3212, large, F3, 5, 7) | [i] | ||
| 5 | Linear OOA(3212, large, F3, 5, 6) | [i] | ||
| 6 | Linear OOA(3212, large, F3, 5, 5) | [i] | ||
| 7 | Linear OOA(3212, large, F3, 5, 4) | [i] | ||
| 8 | Linear OOA(3212, large, F3, 5, 3) | [i] | ||
| 9 | Linear OOA(3212, 8388602, F3, 15, 11) (dual of [(8388602, 15), 125828818, 12]-NRT-code) | [i] | OOA Stacking with Additional Row | |