Information on Result #1451510
Linear OOA(9123, 531480, F9, 2, 22) (dual of [(531480, 2), 1062837, 23]-NRT-code), 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, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(9123, 265740, F9, 3, 22) (dual of [(265740, 3), 797097, 23]-NRT-code) | [i] | OOA Folding | |