Information on Result #677753

Linear OA(332, 96, F3, 11) (dual of [96, 64, 12]-code), using construction X applied to Ce(10) ⊂ Ce(6) based on
  1. linear OA(327, 81, F3, 11) (dual of [81, 54, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OA(317, 81, F3, 7) (dual of [81, 64, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  3. linear OA(35, 15, F3, 3) (dual of [15, 10, 4]-code or 15-cap in PG(4,3)), 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(333, 97, F3, 11) (dual of [97, 64, 12]-code) [i]Code Embedding in Larger Space
2Linear OA(333, 98, F3, 11) (dual of [98, 65, 12]-code) [i]Construction X with VarÅ¡amov Bound
3Linear OA(334, 100, F3, 11) (dual of [100, 66, 12]-code) [i]
4Linear OOA(332, 48, F3, 2, 11) (dual of [(48, 2), 64, 12]-NRT-code) [i]OOA Folding
5Linear OOA(332, 32, F3, 3, 11) (dual of [(32, 3), 64, 12]-NRT-code) [i]