Information on Result #676145

Linear OA(3240, 2217, F3, 50) (dual of [2217, 1977, 51]-code), using construction XX applied to Ce(49) ⊂ Ce(45) ⊂ Ce(43) based on
  1. 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]
  2. linear OA(3211, 2187, F3, 46) (dual of [2187, 1976, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
  3. linear OA(3204, 2187, F3, 44) (dual of [2187, 1983, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
  4. linear OA(36, 28, F3, 3) (dual of [28, 22, 4]-code or 28-cap in PG(5,3)), using
  5. linear OA(31, 2, F3, 1) (dual of [2, 1, 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 OOA(3240, 2181, F3, 2, 50) (dual of [(2181, 2), 4122, 51]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3240, 2181, F3, 3, 50) (dual of [(2181, 3), 6303, 51]-NRT-code) [i]
3Linear OOA(3240, 2181, F3, 4, 50) (dual of [(2181, 4), 8484, 51]-NRT-code) [i]
4Linear OOA(3240, 2181, F3, 5, 50) (dual of [(2181, 5), 10665, 51]-NRT-code) [i]
5Digital (190, 240, 2181)-net over F3 [i]
6Linear OOA(3240, 739, F3, 3, 50) (dual of [(739, 3), 1977, 51]-NRT-code) [i]OOA Folding
7Linear OOA(3240, 554, F3, 4, 50) (dual of [(554, 4), 1976, 51]-NRT-code) [i]