Information on Result #710420

Linear OA(5130, 153, F5, 75) (dual of [153, 23, 76]-code), using construction XX applied to C1 = C([114,63]), C2 = C([1,67]), C3 = C1 + C2 = C([1,63]), and C∩ = C1 ∩ C2 = C([114,67]) based on
  1. linear OA(5114, 124, F5, 74) (dual of [124, 10, 75]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−10,−9,…,63}, and designed minimum distance d ≥ |I|+1 = 75 [i]
  2. linear OA(5104, 124, F5, 67) (dual of [124, 20, 68]-code), using 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(5117, 124, F5, 78) (dual of [124, 7, 79]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−10,−9,…,67}, and designed minimum distance d ≥ |I|+1 = 79 [i]
  4. linear OA(5101, 124, F5, 63) (dual of [124, 23, 64]-code), using 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]
  5. linear OA(510, 23, F5, 7) (dual of [23, 13, 8]-code), using
  6. linear OA(53, 6, F5, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,5) or 6-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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(5130, 76, F5, 2, 75) (dual of [(76, 2), 22, 76]-NRT-code) [i]OOA Folding
2Linear OOA(5130, 51, F5, 3, 75) (dual of [(51, 3), 23, 76]-NRT-code) [i]