Information on Result #1761977
Digital (86, 101, 22823)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3101, 22823, F3, 2, 15) (dual of [(22823, 2), 45545, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3101, 29529, F3, 2, 15) (dual of [(29529, 2), 58957, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3101, 59058, F3, 15) (dual of [59058, 58957, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3101, 59059, F3, 15) (dual of [59059, 58958, 16]-code), using
- 1 times truncation [i] based on linear OA(3102, 59060, F3, 16) (dual of [59060, 58958, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- linear OA(3101, 59049, F3, 16) (dual of [59049, 58948, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(391, 59049, F3, 14) (dual of [59049, 58958, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(15) ⊂ Ce(13) [i] based on
- 1 times truncation [i] based on linear OA(3102, 59060, F3, 16) (dual of [59060, 58958, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3101, 59059, F3, 15) (dual of [59059, 58958, 16]-code), using
- OOA 2-folding [i] based on linear OA(3101, 59058, F3, 15) (dual of [59058, 58957, 16]-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.