Information on Result #689504
Linear OA(9136, 59104, F9, 28) (dual of [59104, 58968, 29]-code), using construction X applied to Ce(27) ⊂ Ce(18) 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(981, 59049, F9, 19) (dual of [59049, 58968, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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 OA(9137, 59105, F9, 28) (dual of [59105, 58968, 29]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9136, 29552, F9, 2, 28) (dual of [(29552, 2), 58968, 29]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(9136, 19701, F9, 3, 28) (dual of [(19701, 3), 58967, 29]-NRT-code) | [i] | ||