Information on Result #1799612
Digital (101, 123, 531480)-net over F9, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9123, 531480, F9, 22) (dual of [531480, 531357, 23]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9122, 531478, F9, 22) (dual of [531478, 531356, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- linear OA(9115, 531441, F9, 22) (dual of [531441, 531326, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(985, 531441, F9, 16) (dual of [531441, 531356, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(97, 37, F9, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- linear OA(9122, 531479, F9, 21) (dual of [531479, 531357, 22]-code), using Gilbert–Varšamov bound and bm = 9122 > Vbs−1(k−1) = 1 531890 586432 090422 235801 087605 607266 003893 277909 675898 900135 411299 342129 050998 961440 117071 303794 961578 449881 780849 [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(9122, 531478, F9, 22) (dual of [531478, 531356, 23]-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.