Information on Result #1732072
Digital (98, 118, 265723)-net over F9, using net defined by OOA based on linear OOA(9118, 265723, F9, 27, 20) (dual of [(265723, 27), 7174403, 21]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(9118, 1062893, F9, 3, 20) (dual of [(1062893, 3), 3188561, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9118, 1062896, F9, 3, 20) (dual of [(1062896, 3), 3188570, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9118, 1062896, F9, 20) (dual of [1062896, 1062778, 21]-code), using
- trace code [i] based on linear OA(8159, 531448, F81, 20) (dual of [531448, 531389, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- linear OA(8158, 531441, F81, 20) (dual of [531441, 531383, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(8152, 531441, F81, 18) (dual of [531441, 531389, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(811, 7, F81, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- trace code [i] based on linear OA(8159, 531448, F81, 20) (dual of [531448, 531389, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9118, 1062896, F9, 20) (dual of [1062896, 1062778, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(9118, 1062896, F9, 3, 20) (dual of [(1062896, 3), 3188570, 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.