Information on Result #700110

Linear OA(12848, 16413, F128, 20) (dual of [16413, 16365, 21]-code), using construction X applied to Ce(19) ⊂ Ce(9) based on
  1. linear OA(12839, 16384, F128, 20) (dual of [16384, 16345, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(12819, 16384, F128, 10) (dual of [16384, 16365, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  3. linear OA(1289, 29, F128, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,128)), 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
1OA(6456, 16413, S64, 20) [i]Discarding Parts of the Base for OAs
2Linear OOA(12848, 16413, F128, 2, 20) (dual of [(16413, 2), 32778, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12848, 16413, F128, 3, 20) (dual of [(16413, 3), 49191, 21]-NRT-code) [i]
4Linear OOA(12848, 16413, F128, 4, 20) (dual of [(16413, 4), 65604, 21]-NRT-code) [i]
5Digital (28, 48, 16413)-net over F128 [i]
6Linear OOA(12848, 8206, F128, 2, 20) (dual of [(8206, 2), 16364, 21]-NRT-code) [i]OOA Folding
7Linear OOA(12848, 5471, F128, 3, 20) (dual of [(5471, 3), 16365, 21]-NRT-code) [i]
8Linear OOA(12848, 4103, F128, 4, 20) (dual of [(4103, 4), 16364, 21]-NRT-code) [i]