Information on Result #704350

Linear OA(3104, 777, F3, 23) (dual of [777, 673, 24]-code), using construction XX applied to C1 = C([352,370]), C2 = C([348,365]), C3 = C1 + C2 = C([352,365]), and C∩ = C1 ∩ C2 = C([348,370]) based on
  1. linear OA(373, 728, F3, 19) (dual of [728, 655, 20]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {352,353,…,370}, and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(373, 728, F3, 18) (dual of [728, 655, 19]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {348,349,…,365}, and designed minimum distance d ≥ |I|+1 = 19 [i]
  3. linear OA(391, 728, F3, 23) (dual of [728, 637, 24]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {348,349,…,370}, and designed minimum distance d ≥ |I|+1 = 24 [i]
  4. linear OA(355, 728, F3, 14) (dual of [728, 673, 15]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {352,353,…,365}, and designed minimum distance d ≥ |I|+1 = 15 [i]
  5. linear OA(37, 25, F3, 4) (dual of [25, 18, 5]-code), using
  6. linear OA(36, 24, F3, 3) (dual of [24, 18, 4]-code or 24-cap in PG(5,3)), 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(3104, 388, F3, 2, 23) (dual of [(388, 2), 672, 24]-NRT-code) [i]OOA Folding
2Linear OOA(3104, 259, F3, 3, 23) (dual of [(259, 3), 673, 24]-NRT-code) [i]