Information on Result #676295
Linear OA(3245, 1121, F3, 53) (dual of [1121, 876, 54]-code), using construction X applied to Ce(52) ⊂ Ce(48) based on
- linear OA(3239, 1094, F3, 53) (dual of [1094, 855, 54]-code), using an extension Ce(52) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(3218, 1094, F3, 49) (dual of [1094, 876, 50]-code), using an extension Ce(48) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(36, 27, F3, 3) (dual of [27, 21, 4]-code or 27-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 OOA(3245, 560, F3, 2, 53) (dual of [(560, 2), 875, 54]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3245, 373, F3, 3, 53) (dual of [(373, 3), 874, 54]-NRT-code) | [i] | ||