Information on Result #1008663
Linear OOA(372, 3188650, F3, 3, 6) (dual of [(3188650, 3), 9565878, 7]-NRT-code), using trace code based on linear OOA(936, 1594325, F9, 3, 6) (dual of [(1594325, 3), 4782939, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(936, 4782975, F9, 6) (dual of [4782975, 4782939, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(936, 4782976, F9, 6) (dual of [4782976, 4782940, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(936, 4782969, F9, 6) (dual of [4782969, 4782933, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(929, 4782969, F9, 5) (dual of [4782969, 4782940, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(5) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(936, 4782976, F9, 6) (dual of [4782976, 4782940, 7]-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(373, 3188650, F3, 3, 6) (dual of [(3188650, 3), 9565877, 7]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(376, 3188660, F3, 3, 6) (dual of [(3188660, 3), 9565904, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(377, 3188670, F3, 3, 6) (dual of [(3188670, 3), 9565933, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(372, 3188649, F3, 4, 6) (dual of [(3188649, 4), 12754524, 7]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 5 | Linear OOA(372, 3188649, F3, 5, 6) (dual of [(3188649, 5), 15943173, 7]-NRT-code) | [i] | ||