Information on Result #711737

Linear OA(5111, 654, F5, 33) (dual of [654, 543, 34]-code), using construction XX applied to C1 = C([619,25]), C2 = C([0,27]), C3 = C1 + C2 = C([0,25]), and C∩ = C1 ∩ C2 = C([619,27]) based on
  1. linear OA(597, 624, F5, 31) (dual of [624, 527, 32]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,25}, and designed minimum distance d ≥ |I|+1 = 32 [i]
  2. linear OA(587, 624, F5, 28) (dual of [624, 537, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
  3. linear OA(5103, 624, F5, 33) (dual of [624, 521, 34]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,27}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  4. linear OA(581, 624, F5, 26) (dual of [624, 543, 27]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27 [i]
  5. linear OA(57, 23, F5, 4) (dual of [23, 16, 5]-code), using
  6. linear OA(51, 7, F5, 1) (dual of [7, 6, 2]-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(5111, 327, F5, 2, 33) (dual of [(327, 2), 543, 34]-NRT-code) [i]OOA Folding
2Linear OOA(5111, 218, F5, 3, 33) (dual of [(218, 3), 543, 34]-NRT-code) [i]