Information on Result #1021142
Linear OOA(3162, 5593618, F3, 3, 11) (dual of [(5593618, 3), 16780692, 12]-NRT-code), using generalized (u, u+v)-construction 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
- linear OOA(346, 2796201, F3, 3, 5) (dual of [(2796201, 3), 8388557, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(346, 4194301, F3, 3, 5) (dual of [(4194301, 3), 12582857, 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, 3, 5) (dual of [(4194301, 3), 12582857, 6]-NRT-code), using
- linear OOA(3106, 2796201, F3, 3, 11) (dual of [(2796201, 3), 8388497, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3106, large, F3, 11) (dual of [large, large−106, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- OOA 3-folding [i] based on linear OA(3106, large, F3, 11) (dual of [large, large−106, 12]-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(3162, 2796809, F3, 5, 11) (dual of [(2796809, 5), 13983883, 12]-NRT-code) | [i] | OOA Folding | |