Information on Result #1813896
Digital (31, 61, 4158)-net over F128, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(12861, 4158, F128, 3, 30) (dual of [(4158, 3), 12413, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12861, 5464, F128, 3, 30) (dual of [(5464, 3), 16331, 31]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12861, 16392, F128, 30) (dual of [16392, 16331, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(26) [i] based on
- linear OA(12859, 16384, F128, 30) (dual of [16384, 16325, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(12853, 16384, F128, 27) (dual of [16384, 16331, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(1282, 8, F128, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,128)), using
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- Reed–Solomon code RS(126,128) [i]
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- construction X applied to Ce(29) ⊂ Ce(26) [i] based on
- OOA 3-folding [i] based on linear OA(12861, 16392, F128, 30) (dual of [16392, 16331, 31]-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.