Information on Result #1733588
Digital (103, 138, 2187)-net over F9, using net defined by OOA based on linear OOA(9138, 2187, F9, 39, 35) (dual of [(2187, 39), 85155, 36]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(9138, 13123, F9, 3, 35) (dual of [(13123, 3), 39231, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9138, 13126, F9, 3, 35) (dual of [(13126, 3), 39240, 36]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9138, 13126, F9, 35) (dual of [13126, 12988, 36]-code), using
- trace code [i] based on linear OA(8169, 6563, F81, 35) (dual of [6563, 6494, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(33) [i] based on
- 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(8167, 6561, F81, 34) (dual of [6561, 6494, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(34) ⊂ Ce(33) [i] based on
- trace code [i] based on linear OA(8169, 6563, F81, 35) (dual of [6563, 6494, 36]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9138, 13126, F9, 35) (dual of [13126, 12988, 36]-code), using
- discarding factors / shortening the dual code based on linear OOA(9138, 13126, F9, 3, 35) (dual of [(13126, 3), 39240, 36]-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.