Information on Result #674681
Linear OA(3221, 177147, F3, 31) (dual of [177147, 176926, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, 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(3232, 177158, F3, 32) (dual of [177158, 176926, 33]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3222, 177159, F3, 31) (dual of [177159, 176937, 32]-code) | [i] | ✔ | |
| 3 | Linear OA(3247, 177173, F3, 34) (dual of [177173, 176926, 35]-code) | [i] | ✔ | |
| 4 | Linear OA(3222, 177170, F3, 30) (dual of [177170, 176948, 31]-code) | [i] | ✔ | |
| 5 | Linear OA(3225, 177173, F3, 31) (dual of [177173, 176948, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(3229, 177188, F3, 31) (dual of [177188, 176959, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(3227, 177186, F3, 30) (dual of [177186, 176959, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(3238, 177219, F3, 31) (dual of [177219, 176981, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(3238, 177229, F3, 30) (dual of [177229, 176991, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(3237, 177218, F3, 31) (dual of [177218, 176981, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(3237, 177229, F3, 30) (dual of [177229, 176992, 31]-code) | [i] | ✔ | |
| 12 | Linear OOA(3221, 59049, F3, 3, 31) (dual of [(59049, 3), 176926, 32]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(3221, 35429, F3, 5, 31) (dual of [(35429, 5), 176924, 32]-NRT-code) | [i] | ||
| 14 | Linear OOA(3221, 11809, F3, 31, 31) (dual of [(11809, 31), 365858, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |