Information on Result #1811309
Digital (26, 53, 1253)-net over F64, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(6453, 1253, F64, 3, 27) (dual of [(1253, 3), 3706, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6453, 1366, F64, 3, 27) (dual of [(1366, 3), 4045, 28]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6453, 4098, F64, 27) (dual of [4098, 4045, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- linear OA(6453, 4096, F64, 27) (dual of [4096, 4043, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(6451, 4096, F64, 26) (dual of [4096, 4045, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 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(26) ⊂ Ce(25) [i] based on
- OOA 3-folding [i] based on linear OA(6453, 4098, F64, 27) (dual of [4098, 4045, 28]-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.