Information on Result #612124
Linear OA(3211, 59049, F3, 32) (dual of [59049, 58838, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32
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(3227, 59066, F3, 32) (dual of [59066, 58839, 33]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3222, 59060, F3, 34) (dual of [59060, 58838, 35]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(3211, 59059, F3, 32) (dual of [59059, 58848, 33]-code) | [i] | ✔ | |
| 4 | Linear OA(3235, 59073, F3, 35) (dual of [59073, 58838, 36]-code) | [i] | ✔ | |
| 5 | Linear OA(3215, 59073, F3, 32) (dual of [59073, 58858, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(3249, 59087, F3, 37) (dual of [59087, 58838, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(3247, 59085, F3, 36) (dual of [59085, 58838, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(3217, 59085, F3, 32) (dual of [59085, 58868, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(3223, 59101, F3, 32) (dual of [59101, 58878, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(3227, 59115, F3, 32) (dual of [59115, 58888, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(3222, 59100, F3, 32) (dual of [59100, 58878, 33]-code) | [i] | ✔ | |
| 12 | Linear OA(3226, 59114, F3, 32) (dual of [59114, 58888, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(3246, 59077, F3, 36) (dual of [59077, 58831, 37]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |