Information on Result #1746782
Digital (5, 11, 8192)-net over F128, using net defined by OOA based on linear OOA(12811, 8192, F128, 9, 6) (dual of [(8192, 9), 73717, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(12811, 8193, F128, 3, 6) (dual of [(8193, 3), 24568, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12811, 8193, F128, 2, 6) (dual of [(8193, 2), 16375, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12811, 16386, F128, 6) (dual of [16386, 16375, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(12811, 16384, F128, 6) (dual of [16384, 16373, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(1289, 16384, F128, 5) (dual of [16384, 16375, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(5) ⊂ Ce(4) [i] based on
- OOA 2-folding [i] based on linear OA(12811, 16386, F128, 6) (dual of [16386, 16375, 7]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12811, 8193, F128, 2, 6) (dual of [(8193, 2), 16375, 7]-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.