Information on Result #1733640
Digital (106, 142, 2187)-net over F9, using net defined by OOA based on linear OOA(9142, 2187, F9, 39, 36) (dual of [(2187, 39), 85151, 37]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(9142, 13123, F9, 3, 36) (dual of [(13123, 3), 39227, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9142, 13126, F9, 3, 36) (dual of [(13126, 3), 39236, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9142, 13126, F9, 36) (dual of [13126, 12984, 37]-code), using
- trace code [i] based on linear OA(8171, 6563, F81, 36) (dual of [6563, 6492, 37]-code), using
- construction X applied to Ce(35) ⊂ Ce(34) [i] based on
- linear OA(8171, 6561, F81, 36) (dual of [6561, 6490, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(8169, 6561, F81, 35) (dual of [6561, 6492, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(35) ⊂ Ce(34) [i] based on
- trace code [i] based on linear OA(8171, 6563, F81, 36) (dual of [6563, 6492, 37]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9142, 13126, F9, 36) (dual of [13126, 12984, 37]-code), using
- discarding factors / shortening the dual code based on linear OOA(9142, 13126, F9, 3, 36) (dual of [(13126, 3), 39236, 37]-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.