Information on Result #619591
Linear OA(12835, 16392, F128, 15) (dual of [16392, 16357, 16]-code), using construction X applied to C([0,7]) ⊂ C([1,7]) based on
- linear OA(12829, 16385, F128, 15) (dual of [16385, 16356, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(12828, 16385, F128, 8) (dual of [16385, 16357, 9]-code), using the narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [1,7], and minimum distance d ≥ |{−7,−5,−3,…,7}|+1 = 9 (BCH-bound) [i]
- linear OA(1286, 7, F128, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,128)), using
- dual of repetition code with length 7 [i]
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(12835, 14474, F128, 2, 15) (dual of [(14474, 2), 28913, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(12835, 14474, F128, 3, 15) (dual of [(14474, 3), 43387, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(12835, 14474, F128, 4, 15) (dual of [(14474, 4), 57861, 16]-NRT-code) | [i] | ||
| 4 | Digital (20, 35, 14474)-net over F128 | [i] | ||