Information on Result #711617

Linear OA(5125, 674, F5, 34) (dual of [674, 549, 35]-code), using construction XX applied to C1 = C([617,21]), C2 = C([1,26]), C3 = C1 + C2 = C([1,21]), and C∩ = C1 ∩ C2 = C([617,26]) based on
  1. linear OA(593, 624, F5, 29) (dual of [624, 531, 30]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−7,−6,…,21}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(582, 624, F5, 26) (dual of [624, 542, 27]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  3. linear OA(5107, 624, F5, 34) (dual of [624, 517, 35]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−7,−6,…,26}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  4. linear OA(568, 624, F5, 21) (dual of [624, 556, 22]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(56, 20, F5, 4) (dual of [20, 14, 5]-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.