Information on Result #723995

Linear OA(2569, 646, F25, 33) (dual of [646, 577, 34]-code), using construction XX applied to C1 = C([619,26]), C2 = C([3,27]), C3 = C1 + C2 = C([3,26]), and C∩ = C1 ∩ C2 = C([619,27]) based on
  1. linear OA(2560, 624, F25, 32) (dual of [624, 564, 33]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−5,−4,…,26}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  2. linear OA(2549, 624, F25, 25) (dual of [624, 575, 26]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {3,4,…,27}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(2562, 624, F25, 33) (dual of [624, 562, 34]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−5,−4,…,27}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  4. linear OA(2547, 624, F25, 24) (dual of [624, 577, 25]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {3,4,…,26}, and designed minimum distance d ≥ |I|+1 = 25 [i]
  5. linear OA(257, 20, F25, 7) (dual of [20, 13, 8]-code or 20-arc in PG(6,25)), using
  6. linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-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(2569, 589, F25, 2, 33) (dual of [(589, 2), 1109, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (36, 69, 589)-net over F25 [i]
3Linear OOA(2569, 323, F25, 2, 33) (dual of [(323, 2), 577, 34]-NRT-code) [i]OOA Folding