Information on Result #711109

Linear OA(576, 665, F5, 20) (dual of [665, 589, 21]-code), using construction XX applied to C1 = C([619,10]), C2 = C([1,15]), C3 = C1 + C2 = C([1,10]), and C∩ = C1 ∩ C2 = C([619,15]) based on
  1. linear OA(549, 624, F5, 16) (dual of [624, 575, 17]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,10}, and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(548, 624, F5, 15) (dual of [624, 576, 16]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  3. linear OA(565, 624, F5, 21) (dual of [624, 559, 22]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,15}, and designed minimum distance d ≥ |I|+1 = 22 [i]
  4. linear OA(532, 624, F5, 10) (dual of [624, 592, 11]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  5. linear OA(57, 21, F5, 5) (dual of [21, 14, 6]-code), using
  6. linear OA(54, 20, F5, 3) (dual of [20, 16, 4]-code or 20-cap in PG(3,5)), 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

None.