Information on Result #716308

Linear OA(8128, 545, F8, 45) (dual of [545, 417, 46]-code), using construction XX applied to C1 = C([40,81]), C2 = C([37,75]), C3 = C1 + C2 = C([40,75]), and C∩ = C1 ∩ C2 = C([37,81]) based on
  1. linear OA(8109, 511, F8, 42) (dual of [511, 402, 43]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {40,41,…,81}, and designed minimum distance d ≥ |I|+1 = 43 [i]
  2. linear OA(8103, 511, F8, 39) (dual of [511, 408, 40]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {37,38,…,75}, and designed minimum distance d ≥ |I|+1 = 40 [i]
  3. linear OA(8118, 511, F8, 45) (dual of [511, 393, 46]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {37,38,…,81}, and designed minimum distance d ≥ |I|+1 = 46 [i]
  4. linear OA(894, 511, F8, 36) (dual of [511, 417, 37]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {40,41,…,75}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  5. linear OA(87, 22, F8, 5) (dual of [22, 15, 6]-code), using
  6. linear OA(83, 12, F8, 2) (dual of [12, 9, 3]-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(8128, 272, F8, 2, 45) (dual of [(272, 2), 416, 46]-NRT-code) [i]OOA Folding