Information on Result #711200

Linear OA(590, 663, F5, 24) (dual of [663, 573, 25]-code), using construction XX applied to C1 = C([135,156]), C2 = C([143,158]), C3 = C1 + C2 = C([143,156]), and C∩ = C1 ∩ C2 = C([135,158]) based on
  1. linear OA(569, 624, F5, 22) (dual of [624, 555, 23]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {135,136,…,156}, and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(553, 624, F5, 16) (dual of [624, 571, 17]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {143,144,…,158}, and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(577, 624, F5, 24) (dual of [624, 547, 25]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {135,136,…,158}, and designed minimum distance d ≥ |I|+1 = 25 [i]
  4. linear OA(545, 624, F5, 14) (dual of [624, 579, 15]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {143,144,…,156}, and designed minimum distance d ≥ |I|+1 = 15 [i]
  5. linear OA(512, 30, F5, 7) (dual of [30, 18, 8]-code), using
    • construction X applied to Ce(6) ⊂ Ce(3) [i] based on
      1. linear OA(510, 25, F5, 7) (dual of [25, 15, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
      2. linear OA(57, 25, F5, 4) (dual of [25, 18, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
      3. linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
  6. linear OA(51, 9, F5, 1) (dual of [9, 8, 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

None.