Information on Result #680053
Linear OA(4252, 1389, F4, 57) (dual of [1389, 1137, 58]-code), using construction X applied to Ce(56) ⊂ Ce(52) based on
- linear OA(4247, 1366, F4, 57) (dual of [1366, 1119, 58]-code), using an extension Ce(56) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(4229, 1366, F4, 53) (dual of [1366, 1137, 54]-code), using an extension Ce(52) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(45, 23, F4, 3) (dual of [23, 18, 4]-code or 23-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), 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(4251, 1388, F4, 56) (dual of [1388, 1137, 57]-code) | [i] | Truncation | |
| 2 | Linear OOA(4252, 694, F4, 2, 57) (dual of [(694, 2), 1136, 58]-NRT-code) | [i] | OOA Folding | |