Information on Result #689428
Linear OA(9145, 59073, F9, 32) (dual of [59073, 58928, 33]-code), using construction X applied to Ce(31) ⊂ Ce(27) based on
- linear OA(9141, 59049, F9, 32) (dual of [59049, 58908, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- 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(94, 24, F9, 3) (dual of [24, 20, 4]-code or 24-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 OA(9146, 59074, F9, 32) (dual of [59074, 58928, 33]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9145, 57270, F9, 2, 32) (dual of [(57270, 2), 114395, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(9145, 57270, F9, 3, 32) (dual of [(57270, 3), 171665, 33]-NRT-code) | [i] | ||
| 4 | Digital (113, 145, 57270)-net over F9 | [i] | ||
| 5 | Linear OA(9146, 59075, F9, 32) (dual of [59075, 58929, 33]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OA(9147, 59077, F9, 32) (dual of [59077, 58930, 33]-code) | [i] | ||
| 7 | Linear OOA(9145, 29536, F9, 2, 32) (dual of [(29536, 2), 58927, 33]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(9145, 19691, F9, 3, 32) (dual of [(19691, 3), 58928, 33]-NRT-code) | [i] | ||
| 9 | Linear OOA(9145, 3692, F9, 32, 32) (dual of [(3692, 32), 117999, 33]-NRT-code) | [i] | OA Folding and Stacking | |