Information on Result #679425
Linear OA(440, 4103, F4, 9) (dual of [4103, 4063, 10]-code), using construction X applied to C([0,4]) ⊂ C([0,2]) based on
- linear OA(437, 4097, F4, 9) (dual of [4097, 4060, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(425, 4097, F4, 5) (dual of [4097, 4072, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,2], and minimum distance d ≥ |{−4,−2,0,2,4}|+1 = 6 (BCH-bound) [i]
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), 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(440, 2543, F4, 2, 9) (dual of [(2543, 2), 5046, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(440, 2543, F4, 3, 9) (dual of [(2543, 3), 7589, 10]-NRT-code) | [i] | ||
| 3 | Digital (31, 40, 2543)-net over F4 | [i] | ||