Information on Result #704925

Linear OA(3147, 751, F3, 37) (dual of [751, 604, 38]-code), using construction XX applied to C1 = C([725,31]), C2 = C([0,33]), C3 = C1 + C2 = C([0,31]), and C∩ = C1 ∩ C2 = C([725,33]) 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 = {−3,−2,…,31}, and designed minimum distance d ≥ |I|+1 = 36 [i]
  2. linear OA(3130, 728, F3, 34) (dual of [728, 598, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [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 = {−3,−2,…,33}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  4. linear OA(3124, 728, F3, 32) (dual of [728, 604, 33]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,31], and designed minimum distance d ≥ |I|+1 = 33 [i]
  5. linear OA(34, 16, F3, 2) (dual of [16, 12, 3]-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(3147, 375, F3, 2, 37) (dual of [(375, 2), 603, 38]-NRT-code) [i]OOA Folding
2Linear OOA(3147, 250, F3, 3, 37) (dual of [(250, 3), 603, 38]-NRT-code) [i]
3Linear OOA(3147, 150, F3, 5, 37) (dual of [(150, 5), 603, 38]-NRT-code) [i]