Information on Result #1801223
Digital (18, 40, 126)-net over F16, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(1640, 126, F16, 2, 22) (dual of [(126, 2), 212, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1640, 129, F16, 2, 22) (dual of [(129, 2), 218, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1640, 258, F16, 22) (dual of [258, 218, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(1640, 256, F16, 22) (dual of [256, 216, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(1638, 256, F16, 21) (dual of [256, 218, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(160, 2, F16, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- OOA 2-folding [i] based on linear OA(1640, 258, F16, 22) (dual of [258, 218, 23]-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.