Information on Result #737004

Linear OA(3248, 6616, F3, 44) (dual of [6616, 6368, 45]-code), using construction X applied to Ce(43) ⊂ Ce(36) based on
  1. linear OA(3233, 6561, F3, 44) (dual of [6561, 6328, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
  2. linear OA(3193, 6561, F3, 37) (dual of [6561, 6368, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
  3. linear OA(315, 55, F3, 6) (dual of [55, 40, 7]-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(3250, 6618, F3, 44) (dual of [6618, 6368, 45]-code) [i]Code Embedding in Larger Space
2Linear OOA(3248, 5241, F3, 2, 44) (dual of [(5241, 2), 10234, 45]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(3248, 5241, F3, 3, 44) (dual of [(5241, 3), 15475, 45]-NRT-code) [i]
4Linear OOA(3248, 5241, F3, 4, 44) (dual of [(5241, 4), 20716, 45]-NRT-code) [i]
5Linear OOA(3248, 5241, F3, 5, 44) (dual of [(5241, 5), 25957, 45]-NRT-code) [i]
6Digital (204, 248, 5241)-net over F3 [i]
7Linear OOA(3248, 3308, F3, 2, 44) (dual of [(3308, 2), 6368, 45]-NRT-code) [i]OOA Folding
8Linear OOA(3248, 2205, F3, 3, 44) (dual of [(2205, 3), 6367, 45]-NRT-code) [i]
9Linear OOA(3248, 1654, F3, 4, 44) (dual of [(1654, 4), 6368, 45]-NRT-code) [i]
10Linear OOA(3248, 1323, F3, 5, 44) (dual of [(1323, 5), 6367, 45]-NRT-code) [i]