Information on Result #1747782
Digital (34, 60, 2919)-net over F128, using net defined by OOA based on linear OOA(12860, 2919, F128, 36, 26) (dual of [(2919, 36), 105024, 27]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(12860, 11677, F128, 4, 26) (dual of [(11677, 4), 46648, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12860, 11678, F128, 4, 26) (dual of [(11678, 4), 46652, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12860, 11678, F128, 26) (dual of [11678, 11618, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(12860, 16413, F128, 26) (dual of [16413, 16353, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(15) [i] based on
- linear OA(12851, 16384, F128, 26) (dual of [16384, 16333, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(1289, 29, F128, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,128)), using
- discarding factors / shortening the dual code based on linear OA(1289, 128, F128, 9) (dual of [128, 119, 10]-code or 128-arc in PG(8,128)), using
- Reed–Solomon code RS(119,128) [i]
- discarding factors / shortening the dual code based on linear OA(1289, 128, F128, 9) (dual of [128, 119, 10]-code or 128-arc in PG(8,128)), using
- construction X applied to Ce(25) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(12860, 16413, F128, 26) (dual of [16413, 16353, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12860, 11678, F128, 26) (dual of [11678, 11618, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(12860, 11678, F128, 4, 26) (dual of [(11678, 4), 46652, 27]-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.