Information on Result #709962

Linear OA(557, 150, F5, 21) (dual of [150, 93, 22]-code), using construction XX applied to C1 = C([20,36]), C2 = C([16,32]), C3 = C1 + C2 = C([20,32]), and C∩ = C1 ∩ C2 = C([16,36]) based on
  1. linear OA(540, 124, F5, 17) (dual of [124, 84, 18]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {20,21,…,36}, and designed minimum distance d ≥ |I|+1 = 18 [i]
  2. linear OA(540, 124, F5, 17) (dual of [124, 84, 18]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {16,17,…,32}, and designed minimum distance d ≥ |I|+1 = 18 [i]
  3. linear OA(549, 124, F5, 21) (dual of [124, 75, 22]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {16,17,…,36}, and designed minimum distance d ≥ |I|+1 = 22 [i]
  4. linear OA(531, 124, F5, 13) (dual of [124, 93, 14]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {20,21,…,32}, and designed minimum distance d ≥ |I|+1 = 14 [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(557, 75, F5, 2, 21) (dual of [(75, 2), 93, 22]-NRT-code) [i]OOA Folding