Information on Result #689724

Linear OA(9133, 6577, F9, 37) (dual of [6577, 6444, 38]-code), using construction X applied to Ce(36) ⊂ Ce(32) based on
  1. linear OA(9129, 6561, F9, 37) (dual of [6561, 6432, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. linear OA(9117, 6561, F9, 33) (dual of [6561, 6444, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  3. linear OA(94, 16, F9, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,9)), 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(9132, 6576, F9, 36) (dual of [6576, 6444, 37]-code) [i]Truncation
2Linear OOA(9133, 6577, F9, 2, 37) (dual of [(6577, 2), 13021, 38]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(9133, 6577, F9, 3, 37) (dual of [(6577, 3), 19598, 38]-NRT-code) [i]
4Digital (96, 133, 6577)-net over F9 [i]
5Linear OOA(9133, 3288, F9, 2, 37) (dual of [(3288, 2), 6443, 38]-NRT-code) [i]OOA Folding
6Linear OOA(9133, 2192, F9, 3, 37) (dual of [(2192, 3), 6443, 38]-NRT-code) [i]