Information on Result #679423
Linear OA(450, 4110, F4, 11) (dual of [4110, 4060, 12]-code), using construction X applied to C([0,5]) ⊂ C([0,4]) based on
- linear OA(449, 4097, F4, 11) (dual of [4097, 4048, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- 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(41, 13, F4, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(450, 2615, F4, 2, 11) (dual of [(2615, 2), 5180, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(450, 2615, F4, 3, 11) (dual of [(2615, 3), 7795, 12]-NRT-code) | [i] | ||
| 3 | Digital (39, 50, 2615)-net over F4 | [i] | ||
| 4 | Linear OOA(450, 2055, F4, 2, 11) (dual of [(2055, 2), 4060, 12]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(450, 1370, F4, 3, 11) (dual of [(1370, 3), 4060, 12]-NRT-code) | [i] | ||