Information on Result #1811301
Digital (34, 52, 106905)-net over F64, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(6452, 106905, F64, 2, 18) (dual of [(106905, 2), 213758, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6452, 131073, F64, 2, 18) (dual of [(131073, 2), 262094, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6452, 262146, F64, 18) (dual of [262146, 262094, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(6452, 262147, F64, 18) (dual of [262147, 262095, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(6452, 262144, F64, 18) (dual of [262144, 262092, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(6449, 262144, F64, 17) (dual of [262144, 262095, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(17) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(6452, 262147, F64, 18) (dual of [262147, 262095, 19]-code), using
- OOA 2-folding [i] based on linear OA(6452, 262146, F64, 18) (dual of [262146, 262094, 19]-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.