Information on Result #670464

Linear OA(8156, 538004, F81, 15) (dual of [538004, 537948, 16]-code), using (u, u+v)-construction based on
  1. linear OA(8113, 6562, F81, 7) (dual of [6562, 6549, 8]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
  2. linear OA(8143, 531442, F81, 15) (dual of [531442, 531399, 16]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]

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(8156, 134501, F81, 4, 15) (dual of [(134501, 4), 537948, 16]-NRT-code) [i]OOA Folding