Information on Result #710846

Linear OA(525, 632, F5, 8) (dual of [632, 607, 9]-code), using construction XX applied to C1 = C([623,5]), C2 = C([0,6]), C3 = C1 + C2 = C([0,5]), and C∩ = C1 ∩ C2 = C([623,6]) based on
  1. linear OA(521, 624, F5, 7) (dual of [624, 603, 8]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−1,0,…,5}, and designed minimum distance d ≥ |I|+1 = 8 [i]
  2. linear OA(521, 624, F5, 7) (dual of [624, 603, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
  3. linear OA(525, 624, F5, 8) (dual of [624, 599, 9]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−1,0,…,6}, and designed minimum distance d ≥ |I|+1 = 9 [i]
  4. linear OA(517, 624, F5, 6) (dual of [624, 607, 7]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
  5. linear OA(50, 4, F5, 0) (dual of [4, 4, 1]-code), using
  6. linear OA(50, 4, F5, 0) (dual of [4, 4, 1]-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 OA(528, 659, F5, 8) (dual of [659, 631, 9]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(529, 726, F5, 8) (dual of [726, 697, 9]-code) [i]
3Linear OOA(525, 316, F5, 2, 8) (dual of [(316, 2), 607, 9]-NRT-code) [i]OOA Folding
4Linear OOA(525, 210, F5, 3, 8) (dual of [(210, 3), 605, 9]-NRT-code) [i]
5Linear OOA(525, 158, F5, 8, 8) (dual of [(158, 8), 1239, 9]-NRT-code) [i]OA Folding and Stacking