Information on Result #1722628
Digital (83, 98, 77553)-net over F5, using net defined by OOA based on linear OOA(598, 77553, F5, 21, 15) (dual of [(77553, 21), 1628515, 16]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(598, 232660, F5, 3, 15) (dual of [(232660, 3), 697882, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(598, 232660, F5, 15) (dual of [232660, 232562, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(598, 390643, F5, 15) (dual of [390643, 390545, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([0,6]) [i] based on
- linear OA(597, 390626, F5, 15) (dual of [390626, 390529, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(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([0,7]) ⊂ C([0,6]) [i] based on
- discarding factors / shortening the dual code based on linear OA(598, 390643, F5, 15) (dual of [390643, 390545, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(598, 232660, F5, 15) (dual of [232660, 232562, 16]-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.