Information on Result #689221

Linear OA(9116, 531478, F9, 21) (dual of [531478, 531362, 22]-code), using construction X applied to Ce(20) ⊂ Ce(14) based on
  1. linear OA(9109, 531441, F9, 21) (dual of [531441, 531332, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(979, 531441, F9, 15) (dual of [531441, 531362, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(9117, 531479, F9, 21) (dual of [531479, 531362, 22]-code) [i]Code Embedding in Larger Space
2Linear OA(9118, 531480, F9, 21) (dual of [531480, 531362, 22]-code) [i]
3Linear OOA(9116, 531478, F9, 2, 21) (dual of [(531478, 2), 1062840, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(9116, 531478, F9, 3, 21) (dual of [(531478, 3), 1594318, 22]-NRT-code) [i]
5Digital (95, 116, 531478)-net over F9 [i]
6Linear OA(9117, 531480, F9, 21) (dual of [531480, 531363, 22]-code) [i]Construction X with VarÅ¡amov Bound
7Linear OA(9118, 531482, F9, 21) (dual of [531482, 531364, 22]-code) [i]
8Linear OOA(9116, 265739, F9, 2, 21) (dual of [(265739, 2), 531362, 22]-NRT-code) [i]OOA Folding
9Linear OOA(9116, 177159, F9, 3, 21) (dual of [(177159, 3), 531361, 22]-NRT-code) [i]