Information on Result #1755700
Digital (164, 206, 517)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2206, 517, F2, 2, 42) (dual of [(517, 2), 828, 43]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2206, 1034, F2, 42) (dual of [1034, 828, 43]-code), using
- 1 times truncation [i] based on linear OA(2207, 1035, F2, 43) (dual of [1035, 828, 44]-code), using
- construction X applied to Ce(42) ⊂ Ce(40) [i] based on
- linear OA(2206, 1024, F2, 43) (dual of [1024, 818, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(2196, 1024, F2, 41) (dual of [1024, 828, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(21, 11, F2, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(42) ⊂ Ce(40) [i] based on
- 1 times truncation [i] based on linear OA(2207, 1035, F2, 43) (dual of [1035, 828, 44]-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.