Information on Result #1743920
Digital (27, 41, 43691)-net over F64, using net defined by OOA based on linear OOA(6441, 43691, F64, 21, 14) (dual of [(43691, 21), 917470, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(6441, 131074, F64, 3, 14) (dual of [(131074, 3), 393181, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6441, 131075, F64, 3, 14) (dual of [(131075, 3), 393184, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6441, 131075, F64, 2, 14) (dual of [(131075, 2), 262109, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6441, 262150, F64, 14) (dual of [262150, 262109, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(6441, 262151, F64, 14) (dual of [262151, 262110, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- linear OA(6440, 262144, F64, 14) (dual of [262144, 262104, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(6434, 262144, F64, 12) (dual of [262144, 262110, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(641, 7, F64, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(6441, 262151, F64, 14) (dual of [262151, 262110, 15]-code), using
- OOA 2-folding [i] based on linear OA(6441, 262150, F64, 14) (dual of [262150, 262109, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6441, 131075, F64, 2, 14) (dual of [(131075, 2), 262109, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6441, 131075, F64, 3, 14) (dual of [(131075, 3), 393184, 15]-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.