Information on Result #679429
Linear OA(4260, 4128, F4, 56) (dual of [4128, 3868, 57]-code), using construction X applied to C([0,28]) ⊂ C([0,25]) based on
- linear OA(4253, 4097, F4, 57) (dual of [4097, 3844, 58]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,28], and minimum distance d ≥ |{−28,−27,…,28}|+1 = 58 (BCH-bound) [i]
- linear OA(4229, 4097, F4, 51) (dual of [4097, 3868, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,25], and minimum distance d ≥ |{−25,−24,…,25}|+1 = 52 (BCH-bound) [i]
- linear OA(47, 31, F4, 4) (dual of [31, 24, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), 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(4260, 2064, F4, 2, 56) (dual of [(2064, 2), 3868, 57]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4260, 1376, F4, 3, 56) (dual of [(1376, 3), 3868, 57]-NRT-code) | [i] | ||