Information on Result #1732432
Digital (81, 104, 12988)-net over F9, using net defined by OOA based on linear OOA(9104, 12988, F9, 27, 23) (dual of [(12988, 27), 350572, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(9104, 51953, F9, 3, 23) (dual of [(51953, 3), 155755, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9104, 51956, F9, 3, 23) (dual of [(51956, 3), 155764, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9104, 51956, F9, 23) (dual of [51956, 51852, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(9104, 59067, F9, 23) (dual of [59067, 58963, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(19) [i] based on
- linear OA(9101, 59049, F9, 23) (dual of [59049, 58948, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(986, 59049, F9, 20) (dual of [59049, 58963, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(93, 18, F9, 2) (dual of [18, 15, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- construction X applied to Ce(22) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(9104, 59067, F9, 23) (dual of [59067, 58963, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9104, 51956, F9, 23) (dual of [51956, 51852, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(9104, 51956, F9, 3, 23) (dual of [(51956, 3), 155764, 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.