Information on Result #683751

Linear OA(5120, 654, F5, 35) (dual of [654, 534, 36]-code), using construction XX applied to Ce(35) ⊂ Ce(30) ⊂ Ce(28) based on
  1. linear OA(5111, 625, F5, 36) (dual of [625, 514, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
  2. linear OA(595, 625, F5, 31) (dual of [625, 530, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(591, 625, F5, 29) (dual of [625, 534, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  4. linear OA(54, 24, F5, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,5)), using
  5. linear OA(51, 5, F5, 1) (dual of [5, 4, 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.