Information on Result #704836

Linear OA(3150, 760, F3, 37) (dual of [760, 610, 38]-code), using construction XX applied to C1 = C([336,370]), C2 = C([334,365]), C3 = C1 + C2 = C([336,365]), and C∩ = C1 ∩ C2 = C([334,370]) based on
  1. linear OA(3136, 728, F3, 35) (dual of [728, 592, 36]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {336,337,…,370}, and designed minimum distance d ≥ |I|+1 = 36 [i]
  2. linear OA(3124, 728, F3, 32) (dual of [728, 604, 33]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {334,335,…,365}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  3. linear OA(3142, 728, F3, 37) (dual of [728, 586, 38]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {334,335,…,370}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  4. linear OA(3118, 728, F3, 30) (dual of [728, 610, 31]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {336,337,…,365}, and designed minimum distance d ≥ |I|+1 = 31 [i]
  5. linear OA(37, 25, F3, 4) (dual of [25, 18, 5]-code), using
  6. linear OA(31, 7, F3, 1) (dual of [7, 6, 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 OOA(3150, 380, F3, 2, 37) (dual of [(380, 2), 610, 38]-NRT-code) [i]OOA Folding
2Linear OOA(3150, 253, F3, 3, 37) (dual of [(253, 3), 609, 38]-NRT-code) [i]
3Linear OOA(3150, 190, F3, 4, 37) (dual of [(190, 4), 610, 38]-NRT-code) [i]