Information on Result #895138
Linear OOA(3208, 6585793, F3, 2, 15) (dual of [(6585793, 2), 13171378, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(358, 2391492, F3, 2, 7) (dual of [(2391492, 2), 4782926, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(358, 4782984, F3, 7) (dual of [4782984, 4782926, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(4) [i] based on
- linear OA(357, 4782969, F3, 7) (dual of [4782969, 4782912, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(343, 4782969, F3, 5) (dual of [4782969, 4782926, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(31, 15, F3, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(4) [i] based on
- OOA 2-folding [i] based on linear OA(358, 4782984, F3, 7) (dual of [4782984, 4782926, 8]-code), using
- linear OOA(3150, 4194301, F3, 2, 15) (dual of [(4194301, 2), 8388452, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3150, 8388602, F3, 15) (dual of [8388602, 8388452, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- OOA 2-folding [i] based on linear OA(3150, 8388602, F3, 15) (dual of [8388602, 8388452, 16]-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(3208, 3292896, F3, 3, 15) (dual of [(3292896, 3), 9878480, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3208, 3292896, F3, 4, 15) (dual of [(3292896, 4), 13171376, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(3208, 2195264, F3, 5, 15) (dual of [(2195264, 5), 10976112, 16]-NRT-code) | [i] | ||