Information on Result #1814094
Digital (38, 70, 8010)-net over F128, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(12870, 8010, F128, 2, 32) (dual of [(8010, 2), 15950, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12870, 8203, F128, 2, 32) (dual of [(8203, 2), 16336, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12870, 16406, F128, 32) (dual of [16406, 16336, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(12870, 16407, F128, 32) (dual of [16407, 16337, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(23) [i] based on
- linear OA(12863, 16384, F128, 32) (dual of [16384, 16321, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(12847, 16384, F128, 24) (dual of [16384, 16337, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(1287, 23, F128, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,128)), using
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- Reed–Solomon code RS(121,128) [i]
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- construction X applied to Ce(31) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(12870, 16407, F128, 32) (dual of [16407, 16337, 33]-code), using
- OOA 2-folding [i] based on linear OA(12870, 16406, F128, 32) (dual of [16406, 16336, 33]-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.