Information on Result #674859
Linear OA(3201, 59049, F3, 31) (dual of [59049, 58848, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(3211, 59059, F3, 32) (dual of [59059, 58848, 33]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3202, 59060, F3, 31) (dual of [59060, 58858, 32]-code) | [i] | ✔ | |
| 3 | Linear OA(3225, 59073, F3, 34) (dual of [59073, 58848, 35]-code) | [i] | ✔ | |
| 4 | Linear OA(3202, 59070, F3, 30) (dual of [59070, 58868, 31]-code) | [i] | ✔ | |
| 5 | Linear OA(3205, 59073, F3, 31) (dual of [59073, 58868, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(3237, 59085, F3, 35) (dual of [59085, 58848, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(3209, 59087, F3, 31) (dual of [59087, 58878, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(3207, 59085, F3, 30) (dual of [59085, 58878, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(3218, 59116, F3, 31) (dual of [59116, 58898, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(3218, 59126, F3, 30) (dual of [59126, 58908, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(3217, 59115, F3, 31) (dual of [59115, 58898, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(3217, 59125, F3, 30) (dual of [59125, 58908, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(3226, 59077, F3, 33) (dual of [59077, 58851, 34]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(3206, 59077, F3, 30) (dual of [59077, 58871, 31]-code) | [i] | ✔ | |
| 15 | Linear OOA(3201, 19683, F3, 3, 31) (dual of [(19683, 3), 58848, 32]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(3201, 14762, F3, 4, 31) (dual of [(14762, 4), 58847, 32]-NRT-code) | [i] | ||
| 17 | Linear OOA(3201, 3936, F3, 31, 31) (dual of [(3936, 31), 121815, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |