Information on Result #689368
Linear OA(9128, 59059, F9, 29) (dual of [59059, 58931, 30]-code), using construction X applied to Ce(28) ⊂ Ce(25) based on
- linear OA(9126, 59049, F9, 29) (dual of [59049, 58923, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- 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(92, 10, F9, 2) (dual of [10, 8, 3]-code or 10-arc in PG(1,9)), using
- extended Reed–Solomon code RSe(8,9) [i]
- Hamming code H(2,9) [i]
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(9128, 42037, F9, 2, 29) (dual of [(42037, 2), 83946, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9128, 42037, F9, 3, 29) (dual of [(42037, 3), 125983, 30]-NRT-code) | [i] | ||
| 3 | Digital (99, 128, 42037)-net over F9 | [i] | ||
| 4 | Linear OOA(9128, 29529, F9, 2, 29) (dual of [(29529, 2), 58930, 30]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9128, 19686, F9, 3, 29) (dual of [(19686, 3), 58930, 30]-NRT-code) | [i] | ||