Information on Result #675507

Linear OA(3248, 6588, F3, 46) (dual of [6588, 6340, 47]-code), using construction X applied to Ce(45) ⊂ Ce(40) based on
  1. linear OA(3241, 6561, F3, 46) (dual of [6561, 6320, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
  2. linear OA(3217, 6561, F3, 41) (dual of [6561, 6344, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
  3. linear OA(37, 27, F3, 4) (dual of [27, 20, 5]-code), using
    • an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]

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(3248, 4072, F3, 2, 46) (dual of [(4072, 2), 7896, 47]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3248, 4072, F3, 3, 46) (dual of [(4072, 3), 11968, 47]-NRT-code) [i]
3Linear OOA(3248, 4072, F3, 4, 46) (dual of [(4072, 4), 16040, 47]-NRT-code) [i]
4Linear OOA(3248, 4072, F3, 5, 46) (dual of [(4072, 5), 20112, 47]-NRT-code) [i]
5Digital (202, 248, 4072)-net over F3 [i]
6Linear OOA(3248, 3294, F3, 2, 46) (dual of [(3294, 2), 6340, 47]-NRT-code) [i]OOA Folding
7Linear OOA(3248, 2196, F3, 3, 46) (dual of [(2196, 3), 6340, 47]-NRT-code) [i]
8Linear OOA(3248, 1647, F3, 4, 46) (dual of [(1647, 4), 6340, 47]-NRT-code) [i]
9Linear OOA(3248, 1317, F3, 5, 46) (dual of [(1317, 5), 6337, 47]-NRT-code) [i]