Information on Result #1746784
Digital (6, 12, 10864)-net over F128, using net defined by OOA based on linear OOA(12812, 10864, F128, 9, 6) (dual of [(10864, 9), 97764, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(12812, 10865, F128, 3, 6) (dual of [(10865, 3), 32583, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12812, 10865, F128, 6) (dual of [10865, 10853, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(12812, 16389, F128, 6) (dual of [16389, 16377, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- linear OA(12811, 16384, F128, 6) (dual of [16384, 16373, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(1287, 16384, F128, 4) (dual of [16384, 16377, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(12812, 16389, F128, 6) (dual of [16389, 16377, 7]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12812, 10865, F128, 6) (dual of [10865, 10853, 7]-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.