Information on Result #710611

Linear OA(585, 322, F5, 28) (dual of [322, 237, 29]-code), using construction XX applied to C1 = C([65,90]), C2 = C([63,88]), C3 = C1 + C2 = C([65,88]), and C∩ = C1 ∩ C2 = C([63,90]) based on
  1. linear OA(579, 312, F5, 26) (dual of [312, 233, 27]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {65,66,…,90}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  2. linear OA(579, 312, F5, 26) (dual of [312, 233, 27]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {63,64,…,88}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  3. linear OA(583, 312, F5, 28) (dual of [312, 229, 29]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {63,64,…,90}, and designed minimum distance d ≥ |I|+1 = 29 [i]
  4. linear OA(575, 312, F5, 24) (dual of [312, 237, 25]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {65,66,…,88}, and designed minimum distance d ≥ |I|+1 = 25 [i]
  5. linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
  6. linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-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(585, 161, F5, 2, 28) (dual of [(161, 2), 237, 29]-NRT-code) [i]OOA Folding