Information on Result #1724630
Digital (7, 12, 173)-net over F7, using net defined by OOA based on linear OOA(712, 173, F7, 6, 5) (dual of [(173, 6), 1026, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(712, 174, F7, 2, 5) (dual of [(174, 2), 336, 6]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(712, 174, F7, 5) (dual of [174, 162, 6]-code), using
- construction X applied to C([24,28]) ⊂ C([25,28]) [i] based on
- linear OA(712, 171, F7, 5) (dual of [171, 159, 6]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {24,25,26,27,28}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(79, 171, F7, 4) (dual of [171, 162, 5]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {25,26,27,28}, and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to C([24,28]) ⊂ C([25,28]) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(712, 174, F7, 5) (dual of [174, 162, 6]-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.