Information on Result #1732798
Digital (78, 104, 2626)-net over F9, using net defined by OOA based on linear OOA(9104, 2626, F9, 33, 26) (dual of [(2626, 33), 86554, 27]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(9104, 13131, F9, 3, 26) (dual of [(13131, 3), 39289, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9104, 13132, F9, 3, 26) (dual of [(13132, 3), 39292, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9104, 13132, F9, 26) (dual of [13132, 13028, 27]-code), using
- trace code [i] based on linear OA(8152, 6566, F81, 26) (dual of [6566, 6514, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- linear OA(8151, 6561, F81, 26) (dual of [6561, 6510, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8147, 6561, F81, 24) (dual of [6561, 6514, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- trace code [i] based on linear OA(8152, 6566, F81, 26) (dual of [6566, 6514, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9104, 13132, F9, 26) (dual of [13132, 13028, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(9104, 13132, F9, 3, 26) (dual of [(13132, 3), 39292, 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.