Information on Result #984870
Linear OOA(9106, 1594325, F9, 3, 17) (dual of [(1594325, 3), 4782869, 18]-NRT-code), using OOA 3-folding based on linear OA(9106, 4782975, F9, 17) (dual of [4782975, 4782869, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(9106, 4782976, F9, 17) (dual of [4782976, 4782870, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(9106, 4782969, F9, 17) (dual of [4782969, 4782863, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(999, 4782969, F9, 16) (dual of [4782969, 4782870, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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, 3188650, F3, 3, 17) (dual of [(3188650, 3), 9565738, 18]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(9115, 1594341, F9, 3, 17) (dual of [(1594341, 3), 4782908, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(9116, 1594345, F9, 3, 17) (dual of [(1594345, 3), 4782919, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(9117, 1594353, F9, 3, 17) (dual of [(1594353, 3), 4782942, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(9118, 1594355, F9, 3, 17) (dual of [(1594355, 3), 4782947, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(9119, 1594357, F9, 3, 17) (dual of [(1594357, 3), 4782952, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(9120, 1594359, F9, 3, 17) (dual of [(1594359, 3), 4782957, 18]-NRT-code) | [i] | ||
| 8 | OOA(9120, 1594363, S9, 3, 17) | [i] | ||