Information on Result #1746872
Digital (8, 17, 5461)-net over F128, using net defined by OOA based on linear OOA(12817, 5461, F128, 12, 9) (dual of [(5461, 12), 65515, 10]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(12817, 5462, F128, 4, 9) (dual of [(5462, 4), 21831, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12817, 5462, F128, 3, 9) (dual of [(5462, 3), 16369, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12817, 16386, F128, 9) (dual of [16386, 16369, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(12817, 16384, F128, 9) (dual of [16384, 16367, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(12815, 16384, F128, 8) (dual of [16384, 16369, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- OOA 3-folding [i] based on linear OA(12817, 16386, F128, 9) (dual of [16386, 16369, 10]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12817, 5462, F128, 3, 9) (dual of [(5462, 3), 16369, 10]-NRT-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.