Information on Result #1723398
Digital (121, 141, 97671)-net over F5, using net defined by OOA based on linear OOA(5141, 97671, F5, 27, 20) (dual of [(97671, 27), 2636976, 21]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5141, 390685, F5, 3, 20) (dual of [(390685, 3), 1171914, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5141, 390686, F5, 3, 20) (dual of [(390686, 3), 1171917, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5141, 390686, F5, 20) (dual of [390686, 390545, 21]-code), using
- construction X applied to C([0,10]) ⊂ C([0,6]) [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]
- linear OA(581, 390626, F5, 13) (dual of [390626, 390545, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(512, 60, F5, 6) (dual of [60, 48, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(512, 62, F5, 6) (dual of [62, 50, 7]-code), using
- the cyclic code C(A) with length 62 | 53−1, defining set A = {4,8,11,17}, and minimum distance d ≥ |{8,11,14,…,23}|+1 = 7 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(512, 62, F5, 6) (dual of [62, 50, 7]-code), using
- construction X applied to C([0,10]) ⊂ C([0,6]) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5141, 390686, F5, 20) (dual of [390686, 390545, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(5141, 390686, F5, 3, 20) (dual of [(390686, 3), 1171917, 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.