Information on Result #684228

Linear OA(5120, 142, F5, 72) (dual of [142, 22, 73]-code), using construction XX applied to Ce(72) ⊂ Ce(67) ⊂ Ce(63) based on
  1. linear OA(5111, 125, F5, 73) (dual of [125, 14, 74]-code), using an extension Ce(72) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,72], and designed minimum distance d ≥ |I|+1 = 73 [i]
  2. linear OA(5105, 125, F5, 68) (dual of [125, 20, 69]-code), using an extension Ce(67) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,67], and designed minimum distance d ≥ |I|+1 = 68 [i]
  3. linear OA(5102, 125, F5, 64) (dual of [125, 23, 65]-code), using an extension Ce(63) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,63], and designed minimum distance d ≥ |I|+1 = 64 [i]
  4. linear OA(54, 12, F5, 3) (dual of [12, 8, 4]-code or 12-cap in PG(3,5)), using
  5. linear OA(53, 5, F5, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,5) or 5-cap in PG(2,5)), 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.