Information on Result #689220

Linear OA(9122, 531478, F9, 22) (dual of [531478, 531356, 23]-code), using construction X applied to Ce(21) ⊂ Ce(15) based on
  1. 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]
  2. 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]
  3. linear OA(97, 37, F9, 5) (dual of [37, 30, 6]-code), using

Mode: Constructive and 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:

ResultThis
result
only		Method
1Linear OA(9123, 531479, F9, 22) (dual of [531479, 531356, 23]-code) [i]Code Embedding in Larger Space
2Linear OA(9124, 531480, F9, 22) (dual of [531480, 531356, 23]-code) [i]
3Linear OOA(9122, 531478, F9, 2, 22) (dual of [(531478, 2), 1062834, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(9122, 531478, F9, 3, 22) (dual of [(531478, 3), 1594312, 23]-NRT-code) [i]
5Digital (100, 122, 531478)-net over F9 [i]
6Linear OA(9123, 531480, F9, 22) (dual of [531480, 531357, 23]-code) [i]Construction X with VarÅ¡amov Bound
7Linear OA(9124, 531482, F9, 22) (dual of [531482, 531358, 23]-code) [i]
8Linear OOA(9122, 265739, F9, 2, 22) (dual of [(265739, 2), 531356, 23]-NRT-code) [i]OOA Folding
9Linear OOA(9122, 177159, F9, 3, 22) (dual of [(177159, 3), 531355, 23]-NRT-code) [i]
10Linear OOA(9122, 48316, F9, 22, 22) (dual of [(48316, 22), 1062830, 23]-NRT-code) [i]OA Folding and Stacking