Information on Result #1801161
Digital (15, 34, 108)-net over F16, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(1634, 108, F16, 2, 19) (dual of [(108, 2), 182, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1634, 129, F16, 2, 19) (dual of [(129, 2), 224, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1634, 258, F16, 19) (dual of [258, 224, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(1634, 256, F16, 19) (dual of [256, 222, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(1632, 256, F16, 18) (dual of [256, 224, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(18) ⊂ Ce(17) [i] based on
- OOA 2-folding [i] based on linear OA(1634, 258, F16, 19) (dual of [258, 224, 20]-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.