Information on Result #1811913
Digital (46, 81, 4582)-net over F64, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(6481, 4582, F64, 35) (dual of [4582, 4501, 36]-code), using
- 472 step Varšamov–Edel lengthening with (ri) = (6, 0, 0, 1, 5 times 0, 1, 13 times 0, 1, 31 times 0, 1, 62 times 0, 1, 122 times 0, 1, 230 times 0) [i] based on linear OA(6469, 4098, F64, 35) (dual of [4098, 4029, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(33) [i] based on
- linear OA(6469, 4096, F64, 35) (dual of [4096, 4027, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(6467, 4096, F64, 34) (dual of [4096, 4029, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(34) ⊂ Ce(33) [i] based on
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.