Information on Result #722484

Linear OA(16116, 607, F16, 42) (dual of [607, 491, 43]-code), using construction XX applied to C1 = C([0,39]), C2 = C([6,41]), C3 = C1 + C2 = C([6,39]), and C∩ = C1 ∩ C2 = C([0,41]) based on
  1. linear OA(16104, 585, F16, 40) (dual of [585, 481, 41]-code), using the expurgated narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41 [i]
  2. linear OA(16100, 585, F16, 36) (dual of [585, 485, 37]-code), using the BCH-code C(I) with length 585 | 163−1, defining interval I = {6,7,…,41}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  3. linear OA(16110, 585, F16, 42) (dual of [585, 475, 43]-code), using the expurgated narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 43 [i]
  4. linear OA(1694, 585, F16, 34) (dual of [585, 491, 35]-code), using the BCH-code C(I) with length 585 | 163−1, defining interval I = {6,7,…,39}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  5. linear OA(165, 15, F16, 5) (dual of [15, 10, 6]-code or 15-arc in PG(4,16)), using
  6. linear OA(161, 7, F16, 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(16116, 303, F16, 2, 42) (dual of [(303, 2), 490, 43]-NRT-code) [i]OOA Folding