Information on Result #1751033
Digital (108, 126, 3770)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2126, 3770, F2, 4, 18) (dual of [(3770, 4), 14954, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2126, 4095, F2, 4, 18) (dual of [(4095, 4), 16254, 19]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2126, 16380, F2, 18) (dual of [16380, 16254, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(2126, 16383, F2, 18) (dual of [16383, 16257, 19]-code), using
- 1 times truncation [i] based on 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]
- 1 times truncation [i] based on linear OA(2127, 16384, F2, 19) (dual of [16384, 16257, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2126, 16383, F2, 18) (dual of [16383, 16257, 19]-code), using
- OOA 4-folding [i] based on linear OA(2126, 16380, F2, 18) (dual of [16380, 16254, 19]-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.