Information on Result #689372
Linear OA(9117, 59060, F9, 26) (dual of [59060, 58943, 27]-code), using construction X applied to Ce(25) ⊂ Ce(23) based on
- linear OA(9116, 59049, F9, 26) (dual of [59049, 58933, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(9106, 59049, F9, 24) (dual of [59049, 58943, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(9117, 50156, F9, 2, 26) (dual of [(50156, 2), 100195, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9117, 50156, F9, 3, 26) (dual of [(50156, 3), 150351, 27]-NRT-code) | [i] | ||
| 3 | Digital (91, 117, 50156)-net over F9 | [i] | ||
| 4 | Linear OOA(9117, 29530, F9, 2, 26) (dual of [(29530, 2), 58943, 27]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9117, 19686, F9, 3, 26) (dual of [(19686, 3), 58941, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(9117, 4543, F9, 26, 26) (dual of [(4543, 26), 118001, 27]-NRT-code) | [i] | OA Folding and Stacking | |