Information on Result #674269
Linear OA(371, 4782983, F3, 8) (dual of [4782983, 4782912, 9]-code), using construction X applied to Ce(7) ⊂ Ce(6) based on
- linear OA(371, 4782969, F3, 8) (dual of [4782969, 4782898, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(357, 4782969, F3, 7) (dual of [4782969, 4782912, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(30, 14, F3, 0) (dual of [14, 14, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-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(374, 4782988, F3, 8) (dual of [4782988, 4782914, 9]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(371, 2391491, F3, 2, 8) (dual of [(2391491, 2), 4782911, 9]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(371, 1594327, F3, 3, 8) (dual of [(1594327, 3), 4782910, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(371, 1195745, F3, 4, 8) (dual of [(1195745, 4), 4782909, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(371, 1195745, F3, 5, 8) (dual of [(1195745, 5), 5978654, 9]-NRT-code) | [i] | OA Folding and Stacking | |
| 6 | Linear OOA(371, 1195745, F3, 8, 8) (dual of [(1195745, 8), 9565889, 9]-NRT-code) | [i] | ||