Information on Result #611912
Linear OA(3155, 177147, F3, 22) (dual of [177147, 176992, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22
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(3154, 177146, F3, 21) (dual of [177146, 176992, 22]-code) | [i] | Truncation | |
| 2 | Linear OA(3166, 177159, F3, 22) (dual of [177159, 176993, 23]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(3166, 177158, F3, 23) (dual of [177158, 176992, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3156, 177159, F3, 22) (dual of [177159, 177003, 23]-code) | [i] | ✔ | |
| 5 | Linear OA(3178, 177170, F3, 24) (dual of [177170, 176992, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(3181, 177173, F3, 25) (dual of [177173, 176992, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(3159, 177173, F3, 22) (dual of [177173, 177014, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(3194, 177186, F3, 26) (dual of [177186, 176992, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(3163, 177188, F3, 22) (dual of [177188, 177025, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(3161, 177186, F3, 21) (dual of [177186, 177025, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(3211, 177203, F3, 28) (dual of [177203, 176992, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(3208, 177200, F3, 27) (dual of [177200, 176992, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(3167, 177203, F3, 22) (dual of [177203, 177036, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(3164, 177200, F3, 21) (dual of [177200, 177036, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(3226, 177218, F3, 29) (dual of [177218, 176992, 30]-code) | [i] | ✔ | |
| 16 | Linear OA(3238, 177229, F3, 30) (dual of [177229, 176991, 31]-code) | [i] | ✔ | |
| 17 | Linear OA(3210, 177202, F3, 28) (dual of [177202, 176992, 29]-code) | [i] | ✔ | |
| 18 | Linear OA(3166, 177202, F3, 22) (dual of [177202, 177036, 23]-code) | [i] | ✔ | |
| 19 | Linear OA(3225, 177217, F3, 29) (dual of [177217, 176992, 30]-code) | [i] | ✔ | |
| 20 | Linear OA(3237, 177229, F3, 30) (dual of [177229, 176992, 31]-code) | [i] | ✔ | |
| 21 | Linear OOA(3155, 88573, F3, 2, 22) (dual of [(88573, 2), 176991, 23]-NRT-code) | [i] | OOA Folding | |
| 22 | Linear OOA(3155, 59049, F3, 3, 22) (dual of [(59049, 3), 176992, 23]-NRT-code) | [i] | ||
| 23 | Linear OOA(3155, 44286, F3, 4, 22) (dual of [(44286, 4), 176989, 23]-NRT-code) | [i] | ||
| 24 | Linear OOA(3155, 35429, F3, 5, 22) (dual of [(35429, 5), 176990, 23]-NRT-code) | [i] | ||
| 25 | Linear OOA(3155, 16104, F3, 22, 22) (dual of [(16104, 22), 354133, 23]-NRT-code) | [i] | OA Folding and Stacking | |