Information on Result #726110

Linear OA(2779, 776, F27, 33) (dual of [776, 697, 34]-code), using construction XX applied to C1 = C([8,32]), C2 = C([0,21]), C3 = C1 + C2 = C([8,21]), and C∩ = C1 ∩ C2 = C([0,32]) based on
  1. linear OA(2749, 728, F27, 25) (dual of [728, 679, 26]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {8,9,…,32}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(2743, 728, F27, 22) (dual of [728, 685, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(2762, 728, F27, 33) (dual of [728, 666, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [i]
  4. linear OA(2728, 728, F27, 14) (dual of [728, 700, 15]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {8,9,…,21}, and designed minimum distance d ≥ |I|+1 = 15 [i]
  5. linear OA(2710, 28, F27, 10) (dual of [28, 18, 11]-code or 28-arc in PG(9,27)), using
  6. linear OA(277, 20, F27, 7) (dual of [20, 13, 8]-code or 20-arc in PG(6,27)), 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(2779, 388, F27, 2, 33) (dual of [(388, 2), 697, 34]-NRT-code) [i]OOA Folding