Information on Result #1737392
Digital (73, 98, 51491)-net over F25, using net defined by OOA based on linear OOA(2598, 51491, F25, 26, 25) (dual of [(51491, 26), 1338668, 26]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(2598, 308947, F25, 2, 25) (dual of [(308947, 2), 617796, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2598, 308951, F25, 2, 25) (dual of [(308951, 2), 617804, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2598, 308951, F25, 25) (dual of [308951, 308853, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(2598, 390635, F25, 25) (dual of [390635, 390537, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,11]) [i] based on
- linear OA(2597, 390626, F25, 25) (dual of [390626, 390529, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2589, 390626, F25, 23) (dual of [390626, 390537, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(251, 9, F25, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,12]) ⊂ C([0,11]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2598, 390635, F25, 25) (dual of [390635, 390537, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2598, 308951, F25, 25) (dual of [308951, 308853, 26]-code), using
- discarding factors / shortening the dual code based on linear OOA(2598, 308951, F25, 2, 25) (dual of [(308951, 2), 617804, 26]-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.