Information on Result #1749317
Digital (49, 66, 125)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(266, 125, F2, 2, 17) (dual of [(125, 2), 184, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(266, 132, F2, 2, 17) (dual of [(132, 2), 198, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(266, 264, F2, 17) (dual of [264, 198, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(266, 265, F2, 17) (dual of [265, 199, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(265, 256, F2, 17) (dual of [256, 191, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- 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(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(16) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(266, 265, F2, 17) (dual of [265, 199, 18]-code), using
- OOA 2-folding [i] based on linear OA(266, 264, F2, 17) (dual of [264, 198, 18]-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.