Information on Result #1731008
Digital (31, 42, 5761)-net over F9, using net defined by OOA based on linear OOA(942, 5761, F9, 15, 11) (dual of [(5761, 15), 86373, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(942, 11523, F9, 3, 11) (dual of [(11523, 3), 34527, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(942, 11524, F9, 3, 11) (dual of [(11524, 3), 34530, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(942, 11524, F9, 11) (dual of [11524, 11482, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(942, 13124, F9, 11) (dual of [13124, 13082, 12]-code), using
- trace code [i] based on linear OA(8121, 6562, F81, 11) (dual of [6562, 6541, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- trace code [i] based on linear OA(8121, 6562, F81, 11) (dual of [6562, 6541, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(942, 13124, F9, 11) (dual of [13124, 13082, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(942, 11524, F9, 11) (dual of [11524, 11482, 12]-code), using
- discarding factors / shortening the dual code based on linear OOA(942, 11524, F9, 3, 11) (dual of [(11524, 3), 34530, 12]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.