Information on Result #711096

Linear OA(578, 665, F5, 21) (dual of [665, 587, 22]-code), using construction XX applied to C1 = C([150,166]), C2 = C([146,159]), C3 = C1 + C2 = C([150,159]), and C∩ = C1 ∩ C2 = C([146,166]) based on
  1. 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 = {150,151,…,166}, and designed minimum distance d ≥ |I|+1 = 18 [i]
  2. 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 = {146,147,…,159}, and designed minimum distance d ≥ |I|+1 = 15 [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 = {146,147,…,166}, and designed minimum distance d ≥ |I|+1 = 22 [i]
  4. linear OA(533, 624, F5, 10) (dual of [624, 591, 11]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {150,151,…,159}, and designed minimum distance d ≥ |I|+1 = 11 [i]
  5. linear OA(59, 25, F5, 6) (dual of [25, 16, 7]-code), using
    • an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
  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.