Information on Result #675550

Linear OA(379, 6591, F3, 14) (dual of [6591, 6512, 15]-code), using construction X applied to Ce(13) ⊂ Ce(9) based on
  1. linear OA(373, 6561, F3, 14) (dual of [6561, 6488, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  2. linear OA(349, 6561, F3, 10) (dual of [6561, 6512, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  3. linear OA(36, 30, F3, 3) (dual of [30, 24, 4]-code or 30-cap in PG(5,3)), 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(380, 6592, F3, 14) (dual of [6592, 6512, 15]-code) [i]Code Embedding in Larger Space
2Linear OOA(379, 3328, F3, 2, 14) (dual of [(3328, 2), 6577, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(379, 3328, F3, 3, 14) (dual of [(3328, 3), 9905, 15]-NRT-code) [i]
4Linear OOA(379, 3328, F3, 4, 14) (dual of [(3328, 4), 13233, 15]-NRT-code) [i]
5Linear OOA(379, 3328, F3, 5, 14) (dual of [(3328, 5), 16561, 15]-NRT-code) [i]
6Digital (65, 79, 3328)-net over F3 [i]
7Linear OOA(379, 3295, F3, 2, 14) (dual of [(3295, 2), 6511, 15]-NRT-code) [i]OOA Folding
8Linear OOA(379, 2197, F3, 3, 14) (dual of [(2197, 3), 6512, 15]-NRT-code) [i]
9Linear OOA(379, 1647, F3, 4, 14) (dual of [(1647, 4), 6509, 15]-NRT-code) [i]
10Linear OOA(379, 1318, F3, 5, 14) (dual of [(1318, 5), 6511, 15]-NRT-code) [i]
11Linear OOA(379, 941, F3, 14, 14) (dual of [(941, 14), 13095, 15]-NRT-code) [i]OA Folding and Stacking