Information on Result #674696
Linear OA(389, 177147, F3, 13) (dual of [177147, 177058, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(3100, 177158, F3, 14) (dual of [177158, 177058, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(390, 177159, F3, 13) (dual of [177159, 177069, 14]-code) | [i] | ✔ | |
| 3 | Linear OA(3115, 177173, F3, 16) (dual of [177173, 177058, 17]-code) | [i] | ✔ | |
| 4 | Linear OA(390, 177170, F3, 12) (dual of [177170, 177080, 13]-code) | [i] | ✔ | |
| 5 | Linear OA(393, 177173, F3, 13) (dual of [177173, 177080, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(3128, 177186, F3, 17) (dual of [177186, 177058, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(395, 177186, F3, 12) (dual of [177186, 177091, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(390, 177171, F3, 12) (dual of [177171, 177081, 13]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 9 | Linear OOA(389, 59049, F3, 3, 13) (dual of [(59049, 3), 177058, 14]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(389, 35429, F3, 5, 13) (dual of [(35429, 5), 177056, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(389, 29524, F3, 13, 13) (dual of [(29524, 13), 383723, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |