Information on Result #679420
Linear OA(477, 4113, F4, 17) (dual of [4113, 4036, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,6]) based on
- linear OA(473, 4097, F4, 17) (dual of [4097, 4024, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(461, 4097, F4, 13) (dual of [4097, 4036, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(477, 2393, F4, 2, 17) (dual of [(2393, 2), 4709, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(477, 2393, F4, 3, 17) (dual of [(2393, 3), 7102, 18]-NRT-code) | [i] | ||
| 3 | Digital (60, 77, 2393)-net over F4 | [i] | ||
| 4 | Linear OOA(477, 2056, F4, 2, 17) (dual of [(2056, 2), 4035, 18]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(477, 1371, F4, 3, 17) (dual of [(1371, 3), 4036, 18]-NRT-code) | [i] | ||