Information on Result #670317

Linear OA(8164, 6972, F81, 23) (dual of [6972, 6908, 24]-code), using (u, u+v)-construction based on
  1. linear OA(8119, 410, F81, 11) (dual of [410, 391, 12]-code), using
    • the BCH-code C(I) with length 410 | 812−1, defining interval I = {1,50,99,…,81}, and designed minimum distance d ≥ |I|+1 = 12 [i]
  2. linear OA(8145, 6562, F81, 23) (dual of [6562, 6517, 24]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(8164, 3486, F81, 2, 23) (dual of [(3486, 2), 6908, 24]-NRT-code) [i]OOA Folding
2Linear OOA(8164, 2324, F81, 3, 23) (dual of [(2324, 3), 6908, 24]-NRT-code) [i]