Information on Result #1747668
Digital (30, 54, 2830)-net over F128, using net defined by OOA based on linear OOA(12854, 2830, F128, 28, 24) (dual of [(2830, 28), 79186, 25]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12854, 8491, F128, 4, 24) (dual of [(8491, 4), 33910, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12854, 8492, F128, 4, 24) (dual of [(8492, 4), 33914, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12854, 8492, F128, 24) (dual of [8492, 8438, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(12854, 16407, F128, 24) (dual of [16407, 16353, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(15) [i] based on
- 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(12831, 16384, F128, 16) (dual of [16384, 16353, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(23) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(12854, 16407, F128, 24) (dual of [16407, 16353, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12854, 8492, F128, 24) (dual of [8492, 8438, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(12854, 8492, F128, 4, 24) (dual of [(8492, 4), 33914, 25]-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.