Information on Result #611791
Linear OA(3131, 1594323, F3, 16) (dual of [1594323, 1594192, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16
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(3130, 1594322, F3, 15) (dual of [1594322, 1594192, 16]-code) | [i] | Truncation | |
| 2 | Linear OA(3139, 1594332, F3, 16) (dual of [1594332, 1594193, 17]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(3144, 1594336, F3, 17) (dual of [1594336, 1594192, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3132, 1594337, F3, 16) (dual of [1594337, 1594205, 17]-code) | [i] | ✔ | |
| 5 | Linear OA(3158, 1594350, F3, 18) (dual of [1594350, 1594192, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(3161, 1594353, F3, 19) (dual of [1594353, 1594192, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(3135, 1594353, F3, 16) (dual of [1594353, 1594218, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(3176, 1594368, F3, 20) (dual of [1594368, 1594192, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(3139, 1594364, F3, 16) (dual of [1594364, 1594225, 17]-code) | [i] | ✔ | |
| 10 | Linear OA(3140, 1594371, F3, 16) (dual of [1594371, 1594231, 17]-code) | [i] | ✔ | |
| 11 | Linear OA(3137, 1594368, F3, 15) (dual of [1594368, 1594231, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(3195, 1594379, F3, 22) (dual of [1594379, 1594184, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(3196, 1594388, F3, 22) (dual of [1594388, 1594192, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(3192, 1594384, F3, 21) (dual of [1594384, 1594192, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(3194, 1594386, F3, 22) (dual of [1594386, 1594192, 23]-code) | [i] | ✔ | |
| 16 | Linear OA(3158, 1594351, F3, 18) (dual of [1594351, 1594193, 19]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 17 | Linear OOA(3131, 797161, F3, 2, 16) (dual of [(797161, 2), 1594191, 17]-NRT-code) | [i] | OOA Folding | |
| 18 | Linear OOA(3131, 531441, F3, 3, 16) (dual of [(531441, 3), 1594192, 17]-NRT-code) | [i] | ||
| 19 | Linear OOA(3131, 398580, F3, 4, 16) (dual of [(398580, 4), 1594189, 17]-NRT-code) | [i] | ||
| 20 | Linear OOA(3131, 318864, F3, 5, 16) (dual of [(318864, 5), 1594189, 17]-NRT-code) | [i] | ||
| 21 | Linear OOA(3131, 199290, F3, 16, 16) (dual of [(199290, 16), 3188509, 17]-NRT-code) | [i] | OA Folding and Stacking | |