Information on Result #2266318
Linear OA(3223, 177160, F3, 31) (dual of [177160, 176937, 32]-code), using 1 times code embedding in larger space based on linear OA(3222, 177159, F3, 31) (dual of [177159, 176937, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- linear OA(3221, 177147, F3, 31) (dual of [177147, 176926, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(31, 12, F3, 1) (dual of [12, 11, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(3223, 88580, F3, 2, 31) (dual of [(88580, 2), 176937, 32]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3223, 44290, F3, 4, 31) (dual of [(44290, 4), 176937, 32]-NRT-code) | [i] | ||
| 3 | Linear OOA(3223, 35432, F3, 5, 31) (dual of [(35432, 5), 176937, 32]-NRT-code) | [i] | ||