Information on Result #710930

Linear OA(552, 655, F5, 14) (dual of [655, 603, 15]-code), using construction XX applied to C1 = C([151,161]), C2 = C([148,157]), C3 = C1 + C2 = C([151,157]), and C∩ = C1 ∩ C2 = C([148,161]) based on
  1. linear OA(533, 624, F5, 11) (dual of [624, 591, 12]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {151,152,…,161}, and designed minimum distance d ≥ |I|+1 = 12 [i]
  2. linear OA(533, 624, F5, 10) (dual of [624, 591, 11]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {148,149,…,157}, and designed minimum distance d ≥ |I|+1 = 11 [i]
  3. linear OA(545, 624, F5, 14) (dual of [624, 579, 15]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {148,149,…,161}, and designed minimum distance d ≥ |I|+1 = 15 [i]
  4. linear OA(521, 624, F5, 7) (dual of [624, 603, 8]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {151,152,…,157}, and designed minimum distance d ≥ |I|+1 = 8 [i]
  5. linear OA(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,5)), 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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(552, 327, F5, 2, 14) (dual of [(327, 2), 602, 15]-NRT-code) [i]OOA Folding
2Linear OOA(552, 218, F5, 3, 14) (dual of [(218, 3), 602, 15]-NRT-code) [i]