Information on Result #674691
Linear OA(3133, 177147, F3, 19) (dual of [177147, 177014, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
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(3144, 177158, F3, 20) (dual of [177158, 177014, 21]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3134, 177159, F3, 19) (dual of [177159, 177025, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(3159, 177173, F3, 22) (dual of [177173, 177014, 23]-code) | [i] | ✔ | |
| 4 | Linear OA(3134, 177170, F3, 18) (dual of [177170, 177036, 19]-code) | [i] | ✔ | |
| 5 | Linear OA(3137, 177173, F3, 19) (dual of [177173, 177036, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(3172, 177186, F3, 23) (dual of [177186, 177014, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(3141, 177188, F3, 19) (dual of [177188, 177047, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(3139, 177186, F3, 18) (dual of [177186, 177047, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(3204, 177218, F3, 26) (dual of [177218, 177014, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(3203, 177217, F3, 26) (dual of [177217, 177014, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(3134, 177171, F3, 18) (dual of [177171, 177037, 19]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 12 | Linear OOA(3133, 59049, F3, 3, 19) (dual of [(59049, 3), 177014, 20]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(3133, 35429, F3, 5, 19) (dual of [(35429, 5), 177012, 20]-NRT-code) | [i] | ||