Information on Result #1008696
Linear OOA(3144, 3188656, F3, 3, 12) (dual of [(3188656, 3), 9565824, 13]-NRT-code), using trace code based on linear OOA(972, 1594328, F9, 3, 12) (dual of [(1594328, 3), 4782912, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(972, 4782984, F9, 12) (dual of [4782984, 4782912, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- 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(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(91, 15, F9, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
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(3147, 3188657, F3, 3, 12) (dual of [(3188657, 3), 9565824, 13]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3145, 3188656, F3, 3, 12) (dual of [(3188656, 3), 9565823, 13]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3146, 3188656, F3, 3, 12) (dual of [(3188656, 3), 9565822, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(3157, 3188698, F3, 3, 12) (dual of [(3188698, 3), 9565937, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |