Information on Result #675924

Linear OA(3250, 2205, F3, 53) (dual of [2205, 1955, 54]-code), using construction X applied to Ce(52) ⊂ Ce(49) based on
  1. linear OA(3246, 2187, F3, 53) (dual of [2187, 1941, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
  2. linear OA(3232, 2187, F3, 50) (dual of [2187, 1955, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
  3. linear OA(34, 18, F3, 2) (dual of [18, 14, 3]-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 OOA(3250, 2073, F3, 2, 53) (dual of [(2073, 2), 3896, 54]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3250, 2073, F3, 3, 53) (dual of [(2073, 3), 5969, 54]-NRT-code) [i]
3Linear OOA(3250, 2073, F3, 4, 53) (dual of [(2073, 4), 8042, 54]-NRT-code) [i]
4Linear OOA(3250, 2073, F3, 5, 53) (dual of [(2073, 5), 10115, 54]-NRT-code) [i]
5Digital (197, 250, 2073)-net over F3 [i]
6Linear OOA(3250, 1102, F3, 2, 53) (dual of [(1102, 2), 1954, 54]-NRT-code) [i]OOA Folding
7Linear OOA(3250, 735, F3, 3, 53) (dual of [(735, 3), 1955, 54]-NRT-code) [i]
8Linear OOA(3250, 551, F3, 4, 53) (dual of [(551, 4), 1954, 54]-NRT-code) [i]
9Linear OOA(3250, 441, F3, 5, 53) (dual of [(441, 5), 1955, 54]-NRT-code) [i]