Information on Result #1724628
Digital (6, 11, 128)-net over F7, using net defined by OOA based on linear OOA(711, 128, F7, 6, 5) (dual of [(128, 6), 757, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(711, 129, F7, 2, 5) (dual of [(129, 2), 247, 6]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(711, 129, F7, 5) (dual of [129, 118, 6]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(71, 43, F7, 1) (dual of [43, 42, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(73, 43, F7, 2) (dual of [43, 40, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), using
- linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- linear OA(71, 43, F7, 1) (dual of [43, 42, 2]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(711, 129, F7, 5) (dual of [129, 118, 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.