Information on Result #710439

Linear OA(5140, 165, F5, 79) (dual of [165, 25, 80]-code), using construction XX applied to C1 = C([114,62]), C2 = C([0,68]), C3 = C1 + C2 = C([0,62]), and C∩ = C1 ∩ C2 = C([114,68]) 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(5108, 124, F5, 69) (dual of [124, 16, 70]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,68], and designed minimum distance d ≥ |I|+1 = 70 [i]
  3. linear OA(5120, 124, F5, 79) (dual of [124, 4, 80]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−10,−9,…,68}, and designed minimum distance d ≥ |I|+1 = 80 [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(513, 25, F5, 9) (dual of [25, 12, 10]-code), using
  6. linear OA(57, 16, F5, 5) (dual of [16, 9, 6]-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(5140, 82, F5, 2, 79) (dual of [(82, 2), 24, 80]-NRT-code) [i]OOA Folding
2Linear OOA(5140, 55, F5, 3, 79) (dual of [(55, 3), 25, 80]-NRT-code) [i]