Information on Result #679396
Linear OA(4221, 4113, F4, 49) (dual of [4113, 3892, 50]-code), using construction X applied to C([0,24]) ⊂ C([0,22]) based on
- linear OA(4217, 4097, F4, 49) (dual of [4097, 3880, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
- linear OA(4205, 4097, F4, 45) (dual of [4097, 3892, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (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(4221, 3991, F4, 2, 49) (dual of [(3991, 2), 7761, 50]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4221, 3991, F4, 3, 49) (dual of [(3991, 3), 11752, 50]-NRT-code) | [i] | ||
| 3 | Digital (172, 221, 3991)-net over F4 | [i] | ||
| 4 | Linear OOA(4221, 2056, F4, 2, 49) (dual of [(2056, 2), 3891, 50]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4221, 1371, F4, 3, 49) (dual of [(1371, 3), 3892, 50]-NRT-code) | [i] | ||