Information on Result #712404

Linear OA(5150, 651, F5, 46) (dual of [651, 501, 47]-code), using construction XX applied to C1 = C([119,161]), C2 = C([116,157]), C3 = C1 + C2 = C([119,157]), and C∩ = C1 ∩ C2 = C([116,161]) based on
  1. linear OA(5135, 624, F5, 43) (dual of [624, 489, 44]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {119,120,…,161}, and designed minimum distance d ≥ |I|+1 = 44 [i]
  2. linear OA(5131, 624, F5, 42) (dual of [624, 493, 43]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {116,117,…,157}, and designed minimum distance d ≥ |I|+1 = 43 [i]
  3. linear OA(5143, 624, F5, 46) (dual of [624, 481, 47]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {116,117,…,161}, and designed minimum distance d ≥ |I|+1 = 47 [i]
  4. 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 = {119,120,…,157}, and designed minimum distance d ≥ |I|+1 = 40 [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, 11, F5, 2) (dual of [11, 8, 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 OA(5149, 650, F5, 45) (dual of [650, 501, 46]-code) [i]Truncation
2Linear OOA(5150, 325, F5, 2, 46) (dual of [(325, 2), 500, 47]-NRT-code) [i]OOA Folding
3Linear OOA(5150, 217, F5, 3, 46) (dual of [(217, 3), 501, 47]-NRT-code) [i]