Information on Result #704631

Linear OA(3134, 766, F3, 32) (dual of [766, 632, 33]-code), using construction XX applied to C1 = C([725,24]), C2 = C([1,28]), C3 = C1 + C2 = C([1,24]), and C∩ = C1 ∩ C2 = C([725,28]) based on
  1. linear OA(3109, 728, F3, 28) (dual of [728, 619, 29]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−3,−2,…,24}, and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(3111, 728, F3, 28) (dual of [728, 617, 29]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  3. 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 = {−3,−2,…,28}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  4. linear OA(396, 728, F3, 24) (dual of [728, 632, 25]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  5. linear OA(35, 18, F3, 3) (dual of [18, 13, 4]-code or 18-cap in PG(4,3)), using
  6. linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)) (see above)

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(3134, 383, F3, 2, 32) (dual of [(383, 2), 632, 33]-NRT-code) [i]OOA Folding
2Linear OOA(3134, 255, F3, 3, 32) (dual of [(255, 3), 631, 33]-NRT-code) [i]