Information on Result #611911
Linear OA(3141, 59049, F3, 22) (dual of [59049, 58908, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, 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(3140, 59048, F3, 21) (dual of [59048, 58908, 22]-code) | [i] | Truncation | |
| 2 | Linear OA(3152, 59061, F3, 22) (dual of [59061, 58909, 23]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(3151, 59059, F3, 23) (dual of [59059, 58908, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3142, 59060, F3, 22) (dual of [59060, 58918, 23]-code) | [i] | ✔ | |
| 5 | Linear OA(3162, 59070, F3, 24) (dual of [59070, 58908, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(3165, 59073, F3, 25) (dual of [59073, 58908, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(3145, 59073, F3, 22) (dual of [59073, 58928, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(3177, 59085, F3, 26) (dual of [59085, 58908, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(3149, 59087, F3, 22) (dual of [59087, 58938, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(3147, 59085, F3, 21) (dual of [59085, 58938, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(3193, 59101, F3, 28) (dual of [59101, 58908, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(3189, 59090, F3, 27) (dual of [59090, 58901, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(3190, 59098, F3, 27) (dual of [59098, 58908, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(3153, 59101, F3, 22) (dual of [59101, 58948, 23]-code) | [i] | ✔ | |
| 15 | Linear OA(3149, 59090, F3, 21) (dual of [59090, 58941, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(3150, 59098, F3, 21) (dual of [59098, 58948, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(3207, 59115, F3, 29) (dual of [59115, 58908, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(3218, 59126, F3, 30) (dual of [59126, 58908, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(3192, 59100, F3, 28) (dual of [59100, 58908, 29]-code) | [i] | ✔ | |
| 20 | Linear OA(3152, 59100, F3, 22) (dual of [59100, 58948, 23]-code) | [i] | ✔ | |
| 21 | Linear OA(3206, 59114, F3, 29) (dual of [59114, 58908, 30]-code) | [i] | ✔ | |
| 22 | Linear OA(3217, 59125, F3, 30) (dual of [59125, 58908, 31]-code) | [i] | ✔ | |
| 23 | Linear OA(3166, 59077, F3, 24) (dual of [59077, 58911, 25]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 24 | Linear OA(3146, 59077, F3, 21) (dual of [59077, 58931, 22]-code) | [i] | ✔ | |
| 25 | Linear OOA(3141, 29524, F3, 2, 22) (dual of [(29524, 2), 58907, 23]-NRT-code) | [i] | OOA Folding | |
| 26 | Linear OOA(3141, 19683, F3, 3, 22) (dual of [(19683, 3), 58908, 23]-NRT-code) | [i] | ||
| 27 | Linear OOA(3141, 14762, F3, 4, 22) (dual of [(14762, 4), 58907, 23]-NRT-code) | [i] | ||
| 28 | Linear OOA(3141, 11809, F3, 5, 22) (dual of [(11809, 5), 58904, 23]-NRT-code) | [i] | ||
| 29 | Linear OOA(3141, 5368, F3, 22, 22) (dual of [(5368, 22), 117955, 23]-NRT-code) | [i] | OA Folding and Stacking | |