Information on Result #680120
Linear OA(494, 1031, F4, 25) (dual of [1031, 937, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,10]) based on
- linear OA(491, 1025, F4, 25) (dual of [1025, 934, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(481, 1025, F4, 21) (dual of [1025, 944, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(494, 837, F4, 2, 25) (dual of [(837, 2), 1580, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(494, 837, F4, 3, 25) (dual of [(837, 3), 2417, 26]-NRT-code) | [i] | ||
| 3 | Digital (69, 94, 837)-net over F4 | [i] | ||