Information on Result #1743918
Digital (26, 40, 43690)-net over F64, using net defined by OOA based on linear OOA(6440, 43690, F64, 21, 14) (dual of [(43690, 21), 917450, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(6440, 131071, F64, 3, 14) (dual of [(131071, 3), 393173, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6440, 131073, F64, 3, 14) (dual of [(131073, 3), 393179, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6440, 131073, F64, 2, 14) (dual of [(131073, 2), 262106, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6440, 262146, F64, 14) (dual of [262146, 262106, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(6440, 262147, F64, 14) (dual of [262147, 262107, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [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(6437, 262144, F64, 13) (dual of [262144, 262107, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(6440, 262147, F64, 14) (dual of [262147, 262107, 15]-code), using
- OOA 2-folding [i] based on linear OA(6440, 262146, F64, 14) (dual of [262146, 262106, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6440, 131073, F64, 2, 14) (dual of [(131073, 2), 262106, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6440, 131073, F64, 3, 14) (dual of [(131073, 3), 393179, 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.