Information on Result #700701

Linear OA(385, 92, F3, 56) (dual of [92, 7, 57]-code), using construction XX applied to C({0,1,2,4,5,7,8,10,11,13,14,16,17,20,22,23,25,26,40,41,44,53}) ⊂ C([0,44]) ⊂ C([1,44]) based on
  1. linear OA(378, 80, F3, 59) (dual of [80, 2, 60]-code), using the primitive cyclic code C(A) with length 80 = 34−1, defining set A = {0,1,2,4,5,7,8,10,11,13,14,16,17,20,22,23,25,26,40,41,44,53}, and minimum distance d ≥ |{3,16,29,…,37}|+1 = 60 (BCH-bound) [i]
  2. linear OA(374, 80, F3, 50) (dual of [80, 6, 51]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 51 [i]
  3. linear OA(373, 80, F3, 49) (dual of [80, 7, 50]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 50 [i]
  4. linear OA(36, 11, F3, 5) (dual of [11, 5, 6]-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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(383, 90, F3, 54) (dual of [90, 7, 55]-code) [i]Truncation
2Linear OA(3170, 177, F3, 110) (dual of [177, 7, 111]-code) [i]Juxtaposition
3Linear OA(3197, 204, F3, 128) (dual of [204, 7, 129]-code) [i]
4Linear OOA(385, 46, F3, 2, 56) (dual of [(46, 2), 7, 57]-NRT-code) [i]OOA Folding