Information on Result #1712764
Digital (96, 106, 4194451)-net over F3, using net defined by OOA based on linear OOA(3106, 4194451, F3, 15, 10) (dual of [(4194451, 15), 62916659, 11]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(3106, 4194452, F3, 5, 10) (dual of [(4194452, 5), 20972154, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3106, 4194452, F3, 2, 10) (dual of [(4194452, 2), 8388798, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(315, 151, F3, 2, 5) (dual of [(151, 2), 287, 6]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(315, 151, F3, 5) (dual of [151, 136, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 168, F3, 5) (dual of [168, 153, 6]-code), using
- a “BZ†code from Brouwer’s database [i]
- discarding factors / shortening the dual code based on linear OA(315, 168, F3, 5) (dual of [168, 153, 6]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(315, 151, F3, 5) (dual of [151, 136, 6]-code), using
- linear OOA(391, 4194301, F3, 2, 10) (dual of [(4194301, 2), 8388511, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(391, 8388602, F3, 10) (dual of [8388602, 8388511, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(391, large, F3, 10) (dual of [large, large−91, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(391, large, F3, 10) (dual of [large, large−91, 11]-code), using
- OOA 2-folding [i] based on linear OA(391, 8388602, F3, 10) (dual of [8388602, 8388511, 11]-code), using
- linear OOA(315, 151, F3, 2, 5) (dual of [(151, 2), 287, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3106, 4194452, F3, 2, 10) (dual of [(4194452, 2), 8388798, 11]-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.