Information on Result #700068

Linear OA(12843, 16404, F128, 19) (dual of [16404, 16361, 20]-code), using construction X applied to Ce(18) ⊂ Ce(11) based on
  1. linear OA(12837, 16384, F128, 19) (dual of [16384, 16347, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(12823, 16384, F128, 12) (dual of [16384, 16361, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(1286, 20, F128, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,128)), 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
1Linear OOA(12843, 9075, F128, 2, 19) (dual of [(9075, 2), 18107, 20]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(12843, 9075, F128, 3, 19) (dual of [(9075, 3), 27182, 20]-NRT-code) [i]
3Linear OOA(12843, 9075, F128, 4, 19) (dual of [(9075, 4), 36257, 20]-NRT-code) [i]
4Digital (24, 43, 9075)-net over F128 [i]
5Linear OOA(12843, 8202, F128, 2, 19) (dual of [(8202, 2), 16361, 20]-NRT-code) [i]OOA Folding
6Linear OOA(12843, 5468, F128, 3, 19) (dual of [(5468, 3), 16361, 20]-NRT-code) [i]
7Linear OOA(12843, 4101, F128, 4, 19) (dual of [(4101, 4), 16361, 20]-NRT-code) [i]