Information on Result #712077

Linear OA(5130, 663, F5, 38) (dual of [663, 533, 39]-code), using construction XX applied to C1 = C([619,28]), C2 = C([0,32]), C3 = C1 + C2 = C([0,28]), and C∩ = C1 ∩ C2 = C([619,32]) based on
  1. linear OA(5107, 624, F5, 34) (dual of [624, 517, 35]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,28}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(5103, 624, F5, 33) (dual of [624, 521, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [i]
  3. linear OA(5119, 624, F5, 38) (dual of [624, 505, 39]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,32}, and designed minimum distance d ≥ |I|+1 = 39 [i]
  4. linear OA(591, 624, F5, 29) (dual of [624, 533, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [i]
  5. linear OA(57, 23, F5, 4) (dual of [23, 16, 5]-code), using
  6. linear OA(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,5)), 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(5130, 331, F5, 2, 38) (dual of [(331, 2), 532, 39]-NRT-code) [i]OOA Folding
2Linear OOA(5130, 221, F5, 3, 38) (dual of [(221, 3), 533, 39]-NRT-code) [i]