Information on Result #1752743
Digital (138, 161, 3283)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2161, 3283, F2, 5, 23) (dual of [(3283, 5), 16254, 24]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2161, 16415, F2, 23) (dual of [16415, 16254, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2161, 16416, F2, 23) (dual of [16416, 16255, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
- linear OA(2155, 16384, F2, 23) (dual of [16384, 16229, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2127, 16384, F2, 19) (dual of [16384, 16257, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 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(22) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(2161, 16416, F2, 23) (dual of [16416, 16255, 24]-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.