Information on Result #1723374
Digital (108, 128, 48827)-net over F5, using net defined by OOA based on linear OOA(5128, 48827, F5, 27, 20) (dual of [(48827, 27), 1318201, 21]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5128, 195309, F5, 3, 20) (dual of [(195309, 3), 585799, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5128, 195312, F5, 3, 20) (dual of [(195312, 3), 585808, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5128, 195312, F5, 2, 20) (dual of [(195312, 2), 390496, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5128, 390624, F5, 20) (dual of [390624, 390496, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(5128, 390625, F5, 20) (dual of [390625, 390497, 21]-code), using
- 1 times truncation [i] based on linear OA(5129, 390626, F5, 21) (dual of [390626, 390497, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(5129, 390626, F5, 21) (dual of [390626, 390497, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(5128, 390625, F5, 20) (dual of [390625, 390497, 21]-code), using
- OOA 2-folding [i] based on linear OA(5128, 390624, F5, 20) (dual of [390624, 390496, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5128, 195312, F5, 2, 20) (dual of [(195312, 2), 390496, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5128, 195312, F5, 3, 20) (dual of [(195312, 3), 585808, 21]-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.