Information on Result #1731142
Digital (56, 68, 531443)-net over F9, using net defined by OOA based on linear OOA(968, 531443, F9, 15, 12) (dual of [(531443, 15), 7971577, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(968, 1062887, F9, 3, 12) (dual of [(1062887, 3), 3188593, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(968, 1062888, F9, 3, 12) (dual of [(1062888, 3), 3188596, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(968, 1062888, F9, 12) (dual of [1062888, 1062820, 13]-code), using
- trace code [i] based on linear OA(8134, 531444, F81, 12) (dual of [531444, 531410, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(8134, 531441, F81, 12) (dual of [531441, 531407, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(8131, 531441, F81, 11) (dual of [531441, 531410, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- trace code [i] based on linear OA(8134, 531444, F81, 12) (dual of [531444, 531410, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(968, 1062888, F9, 12) (dual of [1062888, 1062820, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(968, 1062888, F9, 3, 12) (dual of [(1062888, 3), 3188596, 13]-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.