Information on Result #674736
Linear OA(3249, 177186, F3, 33) (dual of [177186, 176937, 34]-code), using construction X applied to Ce(33) ⊂ Ce(28) based on
- 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 [i]
- linear OA(3210, 177147, F3, 29) (dual of [177147, 176937, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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 OA(3250, 177187, F3, 33) (dual of [177187, 176937, 34]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3249, 88593, F3, 2, 33) (dual of [(88593, 2), 176937, 34]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3249, 59062, F3, 3, 33) (dual of [(59062, 3), 176937, 34]-NRT-code) | [i] | ||
| 4 | Linear OOA(3249, 44296, F3, 4, 33) (dual of [(44296, 4), 176935, 34]-NRT-code) | [i] | ||
| 5 | Linear OOA(3249, 35437, F3, 5, 33) (dual of [(35437, 5), 176936, 34]-NRT-code) | [i] | ||
| 6 | Linear OOA(3249, 11074, F3, 33, 33) (dual of [(11074, 33), 365193, 34]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |