Information on Result #1008704
Linear OOA(3156, 3188650, F3, 3, 13) (dual of [(3188650, 3), 9565794, 14]-NRT-code), using trace code based on linear OOA(978, 1594325, F9, 3, 13) (dual of [(1594325, 3), 4782897, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(978, 4782975, F9, 13) (dual of [4782975, 4782897, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(978, 4782976, F9, 13) (dual of [4782976, 4782898, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(978, 4782969, F9, 13) (dual of [4782969, 4782891, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(12) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(978, 4782976, F9, 13) (dual of [4782976, 4782898, 14]-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(3157, 3188650, F3, 3, 13) (dual of [(3188650, 3), 9565793, 14]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3166, 3188669, F3, 3, 13) (dual of [(3188669, 3), 9565841, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3167, 3188675, F3, 3, 13) (dual of [(3188675, 3), 9565858, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(3168, 3188683, F3, 3, 13) (dual of [(3188683, 3), 9565881, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(3169, 3188692, F3, 3, 13) (dual of [(3188692, 3), 9565907, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(3172, 3188696, F3, 3, 13) (dual of [(3188696, 3), 9565916, 14]-NRT-code) | [i] | ||