Information on Result #689400
Linear OA(9135, 59068, F9, 30) (dual of [59068, 58933, 31]-code), using construction X applied to Ce(29) ⊂ Ce(25) based on
- linear OA(9131, 59049, F9, 30) (dual of [59049, 58918, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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(94, 19, F9, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,9)), 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(9135, 52061, F9, 2, 30) (dual of [(52061, 2), 103987, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9135, 52061, F9, 3, 30) (dual of [(52061, 3), 156048, 31]-NRT-code) | [i] | ||
| 3 | Digital (105, 135, 52061)-net over F9 | [i] | ||
| 4 | Linear OOA(9135, 29534, F9, 2, 30) (dual of [(29534, 2), 58933, 31]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9135, 19689, F9, 3, 30) (dual of [(19689, 3), 58932, 31]-NRT-code) | [i] | ||