Information on Result #674756
Linear OA(395, 177186, F3, 12) (dual of [177186, 177091, 13]-code), using construction X applied to Ce(12) ⊂ Ce(7) based on
- 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 [i]
- linear OA(356, 177147, F3, 8) (dual of [177147, 177091, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(36, 39, F3, 3) (dual of [39, 33, 4]-code or 39-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
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 OOA(395, 88593, F3, 2, 12) (dual of [(88593, 2), 177091, 13]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(395, 59062, F3, 3, 12) (dual of [(59062, 3), 177091, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(395, 44296, F3, 4, 12) (dual of [(44296, 4), 177089, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(395, 35437, F3, 5, 12) (dual of [(35437, 5), 177090, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(395, 29531, F3, 12, 12) (dual of [(29531, 12), 354277, 13]-NRT-code) | [i] | OA Folding and Stacking | |