Information on Result #712061

Linear OA(5136, 667, F5, 39) (dual of [667, 531, 40]-code), using construction XX applied to C1 = C([121,156]), C2 = C([128,159]), C3 = C1 + C2 = C([128,156]), and C∩ = C1 ∩ C2 = C([121,159]) based on
  1. linear OA(5111, 624, F5, 36) (dual of [624, 513, 37]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {121,122,…,156}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. linear OA(5103, 624, F5, 32) (dual of [624, 521, 33]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {128,129,…,159}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  3. linear OA(5123, 624, F5, 39) (dual of [624, 501, 40]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {121,122,…,159}, and designed minimum distance d ≥ |I|+1 = 40 [i]
  4. linear OA(591, 624, F5, 29) (dual of [624, 533, 30]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {128,129,…,156}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  5. linear OA(510, 28, F5, 6) (dual of [28, 18, 7]-code), using
    • construction X applied to Ce(5) ⊂ Ce(3) [i] based on
      1. 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]
      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(51, 3, F5, 1) (dual of [3, 2, 2]-code), using
  6. linear OA(53, 15, F5, 2) (dual of [15, 12, 3]-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.