Information on Result #1722028
Digital (54, 64, 150307)-net over F5, using net defined by OOA based on linear OOA(564, 150307, F5, 15, 10) (dual of [(150307, 15), 2254541, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(564, 300615, F5, 3, 10) (dual of [(300615, 3), 901781, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(564, 300616, F5, 3, 10) (dual of [(300616, 3), 901784, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(564, 300616, F5, 10) (dual of [300616, 300552, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(564, 390625, F5, 10) (dual of [390625, 390561, 11]-code), using
- 1 times truncation [i] based on linear OA(565, 390626, F5, 11) (dual of [390626, 390561, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(565, 390626, F5, 11) (dual of [390626, 390561, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(564, 390625, F5, 10) (dual of [390625, 390561, 11]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(564, 300616, F5, 10) (dual of [300616, 300552, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(564, 300616, F5, 3, 10) (dual of [(300616, 3), 901784, 11]-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.