Information on Result #1810956
Digital (12, 24, 1708)-net over F64, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(6424, 1708, F64, 2, 12) (dual of [(1708, 2), 3392, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6424, 2050, F64, 2, 12) (dual of [(2050, 2), 4076, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6424, 4100, F64, 12) (dual of [4100, 4076, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(6424, 4101, F64, 12) (dual of [4101, 4077, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- linear OA(6423, 4096, F64, 12) (dual of [4096, 4073, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(6419, 4096, F64, 10) (dual of [4096, 4077, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 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(11) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(6424, 4101, F64, 12) (dual of [4101, 4077, 13]-code), using
- OOA 2-folding [i] based on linear OA(6424, 4100, F64, 12) (dual of [4100, 4076, 13]-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.