Information on Result #1753383
Digital (138, 172, 512)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2172, 512, F2, 2, 34) (dual of [(512, 2), 852, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2172, 522, F2, 2, 34) (dual of [(522, 2), 872, 35]-NRT-code), using
- strength reduction [i] based on linear OOA(2172, 522, F2, 2, 35) (dual of [(522, 2), 872, 36]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2172, 1044, F2, 35) (dual of [1044, 872, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(2172, 1045, F2, 35) (dual of [1045, 873, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(30) [i] based on
- linear OA(2166, 1024, F2, 35) (dual of [1024, 858, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2151, 1024, F2, 31) (dual of [1024, 873, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(26, 21, F2, 3) (dual of [21, 15, 4]-code or 21-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to Ce(34) ⊂ Ce(30) [i] based on
- discarding factors / shortening the dual code based on linear OA(2172, 1045, F2, 35) (dual of [1045, 873, 36]-code), using
- OOA 2-folding [i] based on linear OA(2172, 1044, F2, 35) (dual of [1044, 872, 36]-code), using
- strength reduction [i] based on linear OOA(2172, 522, F2, 2, 35) (dual of [(522, 2), 872, 36]-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.