Information on Result #722477

Linear OA(16111, 599, F16, 41) (dual of [599, 488, 42]-code), using construction XX applied to C1 = C([0,39]), C2 = C([5,40]), C3 = C1 + C2 = C([5,39]), and C∩ = C1 ∩ C2 = C([0,40]) 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 = {5,6,…,40}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  3. linear OA(16107, 585, F16, 41) (dual of [585, 478, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42 [i]
  4. linear OA(1697, 585, F16, 35) (dual of [585, 488, 36]-code), using the BCH-code C(I) with length 585 | 163−1, defining interval I = {5,6,…,39}, and designed minimum distance d ≥ |I|+1 = 36 [i]
  5. linear OA(164, 11, F16, 4) (dual of [11, 7, 5]-code or 11-arc in PG(3,16)), using
  6. linear OA(160, 3, F16, 0) (dual of [3, 3, 1]-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(16111, 299, F16, 2, 41) (dual of [(299, 2), 487, 42]-NRT-code) [i]OOA Folding