Information on Result #681274
Linear OA(452, 263, F4, 17) (dual of [263, 211, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,6]) based on
- linear OA(449, 257, F4, 17) (dual of [257, 208, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(441, 257, F4, 13) (dual of [257, 216, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(452, 228, F4, 2, 17) (dual of [(228, 2), 404, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(452, 228, F4, 3, 17) (dual of [(228, 3), 632, 18]-NRT-code) | [i] | ||
| 3 | Digital (35, 52, 228)-net over F4 | [i] | ||