Information on Result #674271
Linear OA(372, 4782985, F3, 8) (dual of [4782985, 4782913, 9]-code), using construction X4 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(315, 16, F3, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,3)), using
- dual of repetition code with length 16 [i]
- linear OA(31, 16, F3, 1) (dual of [16, 15, 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(373, 4782986, F3, 8) (dual of [4782986, 4782913, 9]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(374, 4782987, F3, 8) (dual of [4782987, 4782913, 9]-code) | [i] | ||
| 3 | Linear OOA(372, 2391492, F3, 2, 8) (dual of [(2391492, 2), 4782912, 9]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(372, 1594328, F3, 3, 8) (dual of [(1594328, 3), 4782912, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(372, 1195746, F3, 4, 8) (dual of [(1195746, 4), 4782912, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(372, 1195746, F3, 5, 8) (dual of [(1195746, 5), 5978658, 9]-NRT-code) | [i] | OA Folding and Stacking | |
| 7 | Linear OOA(372, 1195746, F3, 8, 8) (dual of [(1195746, 8), 9565896, 9]-NRT-code) | [i] | ||