Information on Result #1747654
Digital (54, 77, 699064)-net over F128, using net defined by OOA based on linear OOA(12877, 699064, F128, 28, 23) (dual of [(699064, 28), 19573715, 24]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12877, 2097193, F128, 4, 23) (dual of [(2097193, 4), 8388695, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12877, 2097195, F128, 4, 23) (dual of [(2097195, 4), 8388703, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12877, 2097195, F128, 23) (dual of [2097195, 2097118, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(11) [i] based on
- linear OA(12867, 2097152, F128, 23) (dual of [2097152, 2097085, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(12834, 2097152, F128, 12) (dual of [2097152, 2097118, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(12810, 43, F128, 10) (dual of [43, 33, 11]-code or 43-arc in PG(9,128)), using
- discarding factors / shortening the dual code based on linear OA(12810, 128, F128, 10) (dual of [128, 118, 11]-code or 128-arc in PG(9,128)), using
- Reed–Solomon code RS(118,128) [i]
- discarding factors / shortening the dual code based on linear OA(12810, 128, F128, 10) (dual of [128, 118, 11]-code or 128-arc in PG(9,128)), using
- construction X applied to Ce(22) ⊂ Ce(11) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12877, 2097195, F128, 23) (dual of [2097195, 2097118, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(12877, 2097195, F128, 4, 23) (dual of [(2097195, 4), 8388703, 24]-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.