Information on Result #683945

Linear OA(5125, 330, F5, 40) (dual of [330, 205, 41]-code), using construction XX applied to Ce(40) ⊂ Ce(35) ⊂ Ce(33) based on
  1. linear OA(5119, 313, F5, 41) (dual of [313, 194, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
  2. linear OA(5109, 313, F5, 36) (dual of [313, 204, 37]-code), using an extension Ce(35) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
  3. linear OA(5105, 313, F5, 34) (dual of [313, 208, 35]-code), using an extension Ce(33) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
  4. linear OA(54, 15, F5, 3) (dual of [15, 11, 4]-code or 15-cap in PG(3,5)), using
  5. linear OA(51, 2, F5, 1) (dual of [2, 1, 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.