Information on Result #1749542
Digital (57, 78, 118)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(278, 118, F2, 2, 21) (dual of [(118, 2), 158, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(278, 132, F2, 2, 21) (dual of [(132, 2), 186, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(278, 264, F2, 21) (dual of [264, 186, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(278, 265, F2, 21) (dual of [265, 187, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(18) [i] based on
- linear OA(277, 256, F2, 21) (dual of [256, 179, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(269, 256, F2, 19) (dual of [256, 187, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(20) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(278, 265, F2, 21) (dual of [265, 187, 22]-code), using
- OOA 2-folding [i] based on linear OA(278, 264, F2, 21) (dual of [264, 186, 22]-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.