Information on Result #1724646
Digital (17, 22, 21511)-net over F7, using net defined by OOA based on linear OOA(722, 21511, F7, 6, 5) (dual of [(21511, 6), 129044, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(722, 21512, F7, 2, 5) (dual of [(21512, 2), 43002, 6]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(722, 21512, F7, 5) (dual of [21512, 21490, 6]-code), using
- generalized (u, u+v)-construction [i] based on
- linear OA(70, 2801, F7, 0) (dual of [2801, 2801, 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
- linear OA(70, 2801, F7, 0) (dual of [2801, 2801, 1]-code) (see above)
- linear OA(71, 2801, F7, 1) (dual of [2801, 2800, 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(71, 2801, F7, 1) (dual of [2801, 2800, 2]-code) (see above)
- linear OA(71, 2801, F7, 1) (dual of [2801, 2800, 2]-code) (see above)
- linear OA(75, 2801, F7, 2) (dual of [2801, 2796, 3]-code), using
- Hamming code H(5,7) [i]
- linear OA(714, 4706, F7, 5) (dual of [4706, 4692, 6]-code), using
- trace code [i] based on linear OA(497, 2353, F49, 5) (dual of [2353, 2346, 6]-code), using
- linear OA(70, 2801, F7, 0) (dual of [2801, 2801, 1]-code), using
- generalized (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(722, 21512, F7, 5) (dual of [21512, 21490, 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.