Information on Result #689510
Linear OA(9106, 59104, F9, 21) (dual of [59104, 58998, 22]-code), using construction X applied to Ce(20) ⊂ Ce(11) based on
- 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(951, 59049, F9, 12) (dual of [59049, 58998, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(915, 55, F9, 8) (dual of [55, 40, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(915, 80, F9, 8) (dual of [80, 65, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(915, 80, F9, 8) (dual of [80, 65, 9]-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(9106, 29552, F9, 2, 21) (dual of [(29552, 2), 58998, 22]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9106, 19701, F9, 3, 21) (dual of [(19701, 3), 58997, 22]-NRT-code) | [i] | ||