Information on Result #612161
Linear OA(3243, 177147, F3, 34) (dual of [177147, 176904, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34
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(3242, 177146, F3, 33) (dual of [177146, 176904, 34]-code) | [i] | Truncation | |
| 2 | Linear OA(3244, 177159, F3, 34) (dual of [177159, 176915, 35]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(3247, 177173, F3, 34) (dual of [177173, 176926, 35]-code) | [i] | ✔ | |
| 4 | Linear OA(3249, 177186, F3, 33) (dual of [177186, 176937, 34]-code) | [i] | ✔ | |
| 5 | Linear OOA(3243, 88573, F3, 2, 34) (dual of [(88573, 2), 176903, 35]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(3243, 59049, F3, 3, 34) (dual of [(59049, 3), 176904, 35]-NRT-code) | [i] | ||
| 7 | Linear OOA(3243, 44286, F3, 4, 34) (dual of [(44286, 4), 176901, 35]-NRT-code) | [i] | ||
| 8 | Linear OOA(3243, 35429, F3, 5, 34) (dual of [(35429, 5), 176902, 35]-NRT-code) | [i] | ||
| 9 | Linear OOA(3243, 10420, F3, 34, 34) (dual of [(10420, 34), 354037, 35]-NRT-code) | [i] | OA Folding and Stacking | |