Information on Result #1730666
Digital (16, 22, 13125)-net over F9, using net defined by OOA based on linear OOA(922, 13125, F9, 9, 6) (dual of [(13125, 9), 118103, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(922, 13126, F9, 3, 6) (dual of [(13126, 3), 39356, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(922, 13126, F9, 6) (dual of [13126, 13104, 7]-code), using
- trace code [i] based on linear OA(8111, 6563, F81, 6) (dual of [6563, 6552, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(8111, 6561, F81, 6) (dual of [6561, 6550, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(819, 6561, F81, 5) (dual of [6561, 6552, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(5) ⊂ Ce(4) [i] based on
- trace code [i] based on linear OA(8111, 6563, F81, 6) (dual of [6563, 6552, 7]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(922, 13126, F9, 6) (dual of [13126, 13104, 7]-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.