Information on Result #852123
Linear OOA(9133, 29548, F9, 2, 28) (dual of [(29548, 2), 58963, 29]-NRT-code), using OOA 2-folding based on linear OA(9133, 59096, F9, 28) (dual of [59096, 58963, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(19) [i] based on
- linear OA(9121, 59049, F9, 28) (dual of [59049, 58928, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(986, 59049, F9, 20) (dual of [59049, 58963, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(912, 47, F9, 7) (dual of [47, 35, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(912, 67, F9, 7) (dual of [67, 55, 8]-code), using
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(9135, 29549, F9, 2, 28) (dual of [(29549, 2), 58963, 29]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(9134, 29548, F9, 2, 28) (dual of [(29548, 2), 58962, 29]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(9132, 29547, F9, 2, 27) (dual of [(29547, 2), 58962, 28]-NRT-code) | [i] | Truncation for OOAs | |