Information on Result #710956

Linear OA(564, 661, F5, 17) (dual of [661, 597, 18]-code), using construction XX applied to C1 = C([618,6]), C2 = C([0,10]), C3 = C1 + C2 = C([0,6]), and C∩ = C1 ∩ C2 = C([618,10]) based on
  1. linear OA(541, 624, F5, 13) (dual of [624, 583, 14]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−6,−5,…,6}, and designed minimum distance d ≥ |I|+1 = 14 [i]
  2. linear OA(533, 624, F5, 11) (dual of [624, 591, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(553, 624, F5, 17) (dual of [624, 571, 18]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−6,−5,…,10}, and designed minimum distance d ≥ |I|+1 = 18 [i]
  4. linear OA(521, 624, F5, 7) (dual of [624, 603, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
  5. linear OA(57, 21, F5, 5) (dual of [21, 14, 6]-code), using
  6. linear OA(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-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.