Information on Result #1749194
Digital (43, 58, 119)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(258, 119, F2, 2, 15) (dual of [(119, 2), 180, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(258, 132, F2, 2, 15) (dual of [(132, 2), 206, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(258, 264, F2, 15) (dual of [264, 206, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(258, 265, F2, 15) (dual of [265, 207, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- linear OA(257, 256, F2, 15) (dual of [256, 199, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(249, 256, F2, 13) (dual of [256, 207, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(21, 9, F2, 1) (dual of [9, 8, 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(14) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(258, 265, F2, 15) (dual of [265, 207, 16]-code), using
- OOA 2-folding [i] based on linear OA(258, 264, F2, 15) (dual of [264, 206, 16]-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.