Information on Result #710430

Linear OA(5132, 157, F5, 76) (dual of [157, 25, 77]-code), using construction XX applied to C1 = C([114,62]), C2 = C([0,67]), C3 = C1 + C2 = C([0,62]), and C∩ = C1 ∩ C2 = C([114,67]) based on
  1. linear OA(5111, 124, F5, 73) (dual of [124, 13, 74]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−10,−9,…,62}, and designed minimum distance d ≥ |I|+1 = 74 [i]
  2. linear OA(5105, 124, F5, 68) (dual of [124, 19, 69]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,67], and designed minimum distance d ≥ |I|+1 = 69 [i]
  3. linear OA(5117, 124, F5, 78) (dual of [124, 7, 79]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−10,−9,…,67}, and designed minimum distance d ≥ |I|+1 = 79 [i]
  4. linear OA(599, 124, F5, 63) (dual of [124, 25, 64]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,62], and designed minimum distance d ≥ |I|+1 = 64 [i]
  5. linear OA(510, 22, F5, 7) (dual of [22, 12, 8]-code), using
  6. linear OA(55, 11, F5, 4) (dual of [11, 6, 5]-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(5132, 78, F5, 2, 76) (dual of [(78, 2), 24, 77]-NRT-code) [i]OOA Folding
2Linear OOA(5132, 52, F5, 3, 76) (dual of [(52, 3), 24, 77]-NRT-code) [i]