Information on Result #674686
Linear OA(3177, 177147, F3, 25) (dual of [177147, 176970, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25
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(3188, 177158, F3, 26) (dual of [177158, 176970, 27]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3178, 177159, F3, 25) (dual of [177159, 176981, 26]-code) | [i] | ✔ | |
| 3 | Linear OA(3203, 177173, F3, 28) (dual of [177173, 176970, 29]-code) | [i] | ✔ | |
| 4 | Linear OA(3178, 177170, F3, 24) (dual of [177170, 176992, 25]-code) | [i] | ✔ | |
| 5 | Linear OA(3181, 177173, F3, 25) (dual of [177173, 176992, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(3216, 177186, F3, 29) (dual of [177186, 176970, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(3185, 177188, F3, 25) (dual of [177188, 177003, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(3183, 177186, F3, 24) (dual of [177186, 177003, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(3248, 177218, F3, 32) (dual of [177218, 176970, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(3247, 177217, F3, 32) (dual of [177217, 176970, 33]-code) | [i] | ✔ | |
| 11 | Linear OOA(3177, 59049, F3, 3, 25) (dual of [(59049, 3), 176970, 26]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(3177, 35429, F3, 5, 25) (dual of [(35429, 5), 176968, 26]-NRT-code) | [i] | ||
| 13 | Linear OOA(3177, 14762, F3, 25, 25) (dual of [(14762, 25), 368873, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |