Information on Result #675732

Linear OA(3238, 3290, F3, 46) (dual of [3290, 3052, 47]-code), using construction X applied to Ce(45) ⊂ Ce(43) based on
  1. linear OA(3237, 3281, F3, 46) (dual of [3281, 3044, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
  2. linear OA(3229, 3281, F3, 44) (dual of [3281, 3052, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
  3. linear OA(31, 9, F3, 1) (dual of [9, 8, 2]-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(3237, 3289, F3, 45) (dual of [3289, 3052, 46]-code) [i]Truncation
2Linear OOA(3238, 3164, F3, 2, 46) (dual of [(3164, 2), 6090, 47]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(3238, 3164, F3, 3, 46) (dual of [(3164, 3), 9254, 47]-NRT-code) [i]
4Linear OOA(3238, 3164, F3, 4, 46) (dual of [(3164, 4), 12418, 47]-NRT-code) [i]
5Linear OOA(3238, 3164, F3, 5, 46) (dual of [(3164, 5), 15582, 47]-NRT-code) [i]
6Digital (192, 238, 3164)-net over F3 [i]
7Linear OOA(3238, 1645, F3, 2, 46) (dual of [(1645, 2), 3052, 47]-NRT-code) [i]OOA Folding
8Linear OOA(3238, 1096, F3, 3, 46) (dual of [(1096, 3), 3050, 47]-NRT-code) [i]
9Linear OOA(3238, 822, F3, 4, 46) (dual of [(822, 4), 3050, 47]-NRT-code) [i]
10Linear OOA(3238, 658, F3, 5, 46) (dual of [(658, 5), 3052, 47]-NRT-code) [i]