Information on Result #674682
Linear OA(3222, 177159, F3, 31) (dual of [177159, 176937, 32]-code), using construction X applied to Ce(30) ⊂ Ce(28) 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 OA(3223, 177160, F3, 31) (dual of [177160, 176937, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3224, 177161, F3, 31) (dual of [177161, 176937, 32]-code) | [i] | ||
| 3 | Linear OA(3221, 177158, F3, 30) (dual of [177158, 176937, 31]-code) | [i] | Truncation | |
| 4 | Linear OOA(3222, 88579, F3, 2, 31) (dual of [(88579, 2), 176936, 32]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3222, 59053, F3, 3, 31) (dual of [(59053, 3), 176937, 32]-NRT-code) | [i] | ||
| 6 | Linear OOA(3222, 44289, F3, 4, 31) (dual of [(44289, 4), 176934, 32]-NRT-code) | [i] | ||
| 7 | Linear OOA(3222, 35431, F3, 5, 31) (dual of [(35431, 5), 176933, 32]-NRT-code) | [i] | ||
| 8 | Linear OOA(3222, 11810, F3, 31, 31) (dual of [(11810, 31), 365888, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |