Information on Result #675746

Linear OA(3223, 3288, F3, 43) (dual of [3288, 3065, 44]-code), using construction XX applied to Ce(42) ⊂ Ce(40) ⊂ Ce(39) 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(3209, 3281, F3, 40) (dual of [3281, 3072, 41]-code), using an extension Ce(39) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
  4. linear OA(31, 6, F3, 1) (dual of [6, 5, 2]-code), using
  5. linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-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(3223, 3054, F3, 2, 43) (dual of [(3054, 2), 5885, 44]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3223, 3054, F3, 3, 43) (dual of [(3054, 3), 8939, 44]-NRT-code) [i]
3Linear OOA(3223, 3054, F3, 4, 43) (dual of [(3054, 4), 11993, 44]-NRT-code) [i]
4Linear OOA(3223, 3054, F3, 5, 43) (dual of [(3054, 5), 15047, 44]-NRT-code) [i]
5Digital (180, 223, 3054)-net over F3 [i]
6Linear OOA(3223, 1644, F3, 2, 43) (dual of [(1644, 2), 3065, 44]-NRT-code) [i]OOA Folding
7Linear OOA(3223, 1096, F3, 3, 43) (dual of [(1096, 3), 3065, 44]-NRT-code) [i]
8Linear OOA(3223, 822, F3, 4, 43) (dual of [(822, 4), 3065, 44]-NRT-code) [i]