Information on Result #1723772
Digital (123, 146, 48830)-net over F5, using net defined by OOA based on linear OOA(5146, 48830, F5, 27, 23) (dual of [(48830, 27), 1318264, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5146, 195321, F5, 3, 23) (dual of [(195321, 3), 585817, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5146, 195321, F5, 2, 23) (dual of [(195321, 2), 390496, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5146, 390642, F5, 23) (dual of [390642, 390496, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(5146, 390643, F5, 23) (dual of [390643, 390497, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
- linear OA(5145, 390626, F5, 23) (dual of [390626, 390481, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- 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]
- linear OA(51, 17, F5, 1) (dual of [17, 16, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
- discarding factors / shortening the dual code based on linear OA(5146, 390643, F5, 23) (dual of [390643, 390497, 24]-code), using
- OOA 2-folding [i] based on linear OA(5146, 390642, F5, 23) (dual of [390642, 390496, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5146, 195321, F5, 2, 23) (dual of [(195321, 2), 390496, 24]-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.