Information on Result #1799187
Digital (89, 113, 59082)-net over F9, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9113, 59082, F9, 24) (dual of [59082, 58969, 25]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9112, 59080, F9, 24) (dual of [59080, 58968, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(18) [i] based on
- linear OA(9106, 59049, F9, 24) (dual of [59049, 58943, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(981, 59049, F9, 19) (dual of [59049, 58968, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(96, 31, F9, 4) (dual of [31, 25, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- 1 times truncation [i] based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- construction X applied to Ce(23) ⊂ Ce(18) [i] based on
- linear OA(9112, 59081, F9, 23) (dual of [59081, 58969, 24]-code), using Gilbert–Varšamov bound and bm = 9112 > Vbs−1(k−1) = 61 266881 239809 378247 584328 102740 185346 088284 383603 826382 940981 791675 802500 843821 454162 362636 122908 013889 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(9112, 59080, F9, 24) (dual of [59080, 58968, 25]-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.