Information on Result #679390
Linear OA(4257, 4113, F4, 57) (dual of [4113, 3856, 58]-code), using construction X applied to C([0,28]) ⊂ C([0,26]) 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(4241, 4097, F4, 53) (dual of [4097, 3856, 54]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,26], and minimum distance d ≥ |{−26,−25,…,26}|+1 = 54 (BCH-bound) [i]
- linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), 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 OOA(4257, 2056, F4, 2, 57) (dual of [(2056, 2), 3855, 58]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4257, 1371, F4, 3, 57) (dual of [(1371, 3), 3856, 58]-NRT-code) | [i] | ||