Information on Result #852216
Linear OOA(9138, 29548, F9, 2, 29) (dual of [(29548, 2), 58958, 30]-NRT-code), using OOA 2-folding based on linear OA(9138, 59096, F9, 29) (dual of [59096, 58958, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(20) [i] based on
- linear OA(9126, 59049, F9, 29) (dual of [59049, 58923, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(991, 59049, F9, 21) (dual of [59049, 58958, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(9140, 29549, F9, 2, 29) (dual of [(29549, 2), 58958, 30]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(9139, 29548, F9, 2, 29) (dual of [(29548, 2), 58957, 30]-NRT-code) | [i] | OOA Duplication | |