Information on Result #689508
Linear OA(9116, 59104, F9, 23) (dual of [59104, 58988, 24]-code), using construction X applied to Ce(22) ⊂ Ce(13) based on
- linear OA(9101, 59049, F9, 23) (dual of [59049, 58948, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(961, 59049, F9, 14) (dual of [59049, 58988, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(9116, 29552, F9, 2, 23) (dual of [(29552, 2), 58988, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9116, 19701, F9, 3, 23) (dual of [(19701, 3), 58987, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(9116, 5373, F9, 23, 23) (dual of [(5373, 23), 123463, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |