Information on Result #1754149
Digital (155, 184, 1740)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2184, 1740, F2, 4, 29) (dual of [(1740, 4), 6776, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2184, 2051, F2, 4, 29) (dual of [(2051, 4), 8020, 30]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2184, 8204, F2, 29) (dual of [8204, 8020, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(2184, 8206, F2, 29) (dual of [8206, 8022, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(26) [i] based on
- linear OA(2183, 8192, F2, 29) (dual of [8192, 8009, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2170, 8192, F2, 27) (dual of [8192, 8022, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(21, 14, F2, 1) (dual of [14, 13, 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(28) ⊂ Ce(26) [i] based on
- discarding factors / shortening the dual code based on linear OA(2184, 8206, F2, 29) (dual of [8206, 8022, 30]-code), using
- OOA 4-folding [i] based on linear OA(2184, 8204, F2, 29) (dual of [8204, 8020, 30]-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.