Information on Result #675734

Linear OA(3222, 3286, F3, 43) (dual of [3286, 3064, 44]-code), using construction X applied to Ce(42) ⊂ Ce(40) based on
  1. linear OA(3221, 3281, F3, 43) (dual of [3281, 3060, 44]-code), using an extension Ce(42) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
  2. linear OA(3217, 3281, F3, 41) (dual of [3281, 3064, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
  3. linear OA(31, 5, F3, 1) (dual of [5, 4, 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(3221, 3285, F3, 42) (dual of [3285, 3064, 43]-code) [i]Truncation
2Linear OOA(3222, 2972, F3, 2, 43) (dual of [(2972, 2), 5722, 44]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(3222, 2972, F3, 3, 43) (dual of [(2972, 3), 8694, 44]-NRT-code) [i]
4Linear OOA(3222, 2972, F3, 4, 43) (dual of [(2972, 4), 11666, 44]-NRT-code) [i]
5Linear OOA(3222, 2972, F3, 5, 43) (dual of [(2972, 5), 14638, 44]-NRT-code) [i]
6Digital (179, 222, 2972)-net over F3 [i]
7Linear OOA(3222, 1643, F3, 2, 43) (dual of [(1643, 2), 3064, 44]-NRT-code) [i]OOA Folding
8Linear OOA(3222, 1095, F3, 3, 43) (dual of [(1095, 3), 3063, 44]-NRT-code) [i]
9Linear OOA(3222, 821, F3, 4, 43) (dual of [(821, 4), 3062, 44]-NRT-code) [i]
10Linear OOA(3222, 657, F3, 5, 43) (dual of [(657, 5), 3063, 44]-NRT-code) [i]