Information on Result #1762889
Digital (103, 122, 19570)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3122, 19570, F3, 3, 19) (dual of [(19570, 3), 58588, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3122, 19686, F3, 3, 19) (dual of [(19686, 3), 58936, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3122, 59058, F3, 19) (dual of [59058, 58936, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3122, 59060, F3, 19) (dual of [59060, 58938, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- linear OA(3121, 59049, F3, 19) (dual of [59049, 58928, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3111, 59049, F3, 17) (dual of [59049, 58938, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(31, 11, F3, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(3122, 59060, F3, 19) (dual of [59060, 58938, 20]-code), using
- OOA 3-folding [i] based on linear OA(3122, 59058, F3, 19) (dual of [59058, 58936, 20]-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.