Information on Result #711663

Linear OA(592, 635, F5, 29) (dual of [635, 543, 30]-code), using construction XX applied to C1 = C([622,25]), C2 = C([0,26]), C3 = C1 + C2 = C([0,25]), and C∩ = C1 ∩ C2 = C([622,26]) based on
  1. linear OA(589, 624, F5, 28) (dual of [624, 535, 29]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−2,−1,…,25}, and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(583, 624, F5, 27) (dual of [624, 541, 28]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,26], and designed minimum distance d ≥ |I|+1 = 28 [i]
  3. linear OA(591, 624, F5, 29) (dual of [624, 533, 30]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−2,−1,…,26}, and designed minimum distance d ≥ |I|+1 = 30 [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(51, 9, F5, 1) (dual of [9, 8, 2]-code), using
  6. linear OA(50, 2, F5, 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 OA(593, 640, F5, 29) (dual of [640, 547, 30]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(594, 654, F5, 29) (dual of [654, 560, 30]-code) [i]
3Linear OA(595, 682, F5, 29) (dual of [682, 587, 30]-code) [i]
4Linear OA(596, 719, F5, 29) (dual of [719, 623, 30]-code) [i]
5Linear OA(597, 760, F5, 29) (dual of [760, 663, 30]-code) [i]
6Linear OA(598, 804, F5, 29) (dual of [804, 706, 30]-code) [i]