Information on Result #709983

Linear OA(569, 150, F5, 26) (dual of [150, 81, 27]-code), using construction XX applied to C1 = C([15,36]), C2 = C([11,32]), C3 = C1 + C2 = C([15,32]), and C∩ = C1 ∩ C2 = C([11,36]) based on
  1. linear OA(552, 124, F5, 22) (dual of [124, 72, 23]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {15,16,…,36}, and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(552, 124, F5, 22) (dual of [124, 72, 23]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {11,12,…,32}, and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(561, 124, F5, 26) (dual of [124, 63, 27]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {11,12,…,36}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  4. linear OA(543, 124, F5, 18) (dual of [124, 81, 19]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {15,16,…,32}, and designed minimum distance d ≥ |I|+1 = 19 [i]
  5. linear OA(54, 13, F5, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,5)), using
  6. linear OA(54, 13, F5, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,5)) (see above)

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(569, 75, F5, 2, 26) (dual of [(75, 2), 81, 27]-NRT-code) [i]OOA Folding