Information on Result #985844
Linear OOA(9144, 19699, F9, 3, 30) (dual of [(19699, 3), 58953, 31]-NRT-code), using OOA 3-folding based on linear OA(9144, 59097, F9, 30) (dual of [59097, 58953, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(21) [i] based on
- linear OA(9131, 59049, F9, 30) (dual of [59049, 58918, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(996, 59049, F9, 22) (dual of [59049, 58953, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(913, 48, F9, 7) (dual of [48, 35, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(913, 80, F9, 7) (dual of [80, 67, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(913, 80, F9, 7) (dual of [80, 67, 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(9145, 19699, F9, 3, 30) (dual of [(19699, 3), 58952, 31]-NRT-code) | [i] | OOA Duplication | |