Information on Result #711588

Linear OA(5111, 670, F5, 31) (dual of [670, 559, 32]-code), using construction XX applied to C1 = C([619,20]), C2 = C([0,25]), C3 = C1 + C2 = C([0,20]), and C∩ = C1 ∩ C2 = C([619,25]) based on
  1. linear OA(581, 624, F5, 26) (dual of [624, 543, 27]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,20}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  2. 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]
  3. 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]
  4. linear OA(565, 624, F5, 21) (dual of [624, 559, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
  5. linear OA(57, 23, F5, 4) (dual of [23, 16, 5]-code), using
  6. linear OA(57, 23, F5, 4) (dual of [23, 16, 5]-code) (see above)

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, 335, F5, 2, 31) (dual of [(335, 2), 559, 32]-NRT-code) [i]OOA Folding
2Linear OOA(5111, 223, F5, 3, 31) (dual of [(223, 3), 558, 32]-NRT-code) [i]