Information on Result #722535

Linear OA(16130, 611, F16, 47) (dual of [611, 481, 48]-code), using construction XX applied to C1 = C([581,39]), C2 = C([0,42]), C3 = C1 + C2 = C([0,39]), and C∩ = C1 ∩ C2 = C([581,42]) based on
  1. linear OA(16116, 585, F16, 44) (dual of [585, 469, 45]-code), using the BCH-code C(I) with length 585 | 163−1, defining interval I = {−4,−3,…,39}, and designed minimum distance d ≥ |I|+1 = 45 [i]
  2. linear OA(16113, 585, F16, 43) (dual of [585, 472, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44 [i]
  3. linear OA(16125, 585, F16, 47) (dual of [585, 460, 48]-code), using the BCH-code C(I) with length 585 | 163−1, defining interval I = {−4,−3,…,42}, and designed minimum distance d ≥ |I|+1 = 48 [i]
  4. 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]
  5. linear OA(163, 15, F16, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,16) or 15-cap in PG(2,16)), using
  6. linear OA(162, 11, F16, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,16)), 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(16130, 305, F16, 2, 47) (dual of [(305, 2), 480, 48]-NRT-code) [i]OOA Folding