Information on Result #698142

Linear OA(4943, 117664, F49, 14) (dual of [117664, 117621, 15]-code), using construction X applied to Ce(13) ⊂ Ce(9) based on
  1. linear OA(4940, 117649, F49, 14) (dual of [117649, 117609, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  2. linear OA(4928, 117649, F49, 10) (dual of [117649, 117621, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  3. linear OA(493, 15, F49, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,49) or 15-cap in PG(2,49)), 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(4943, 90736, F49, 2, 14) (dual of [(90736, 2), 181429, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4943, 90736, F49, 3, 14) (dual of [(90736, 3), 272165, 15]-NRT-code) [i]
3Digital (29, 43, 90736)-net over F49 [i]
4Linear OOA(4943, 58832, F49, 2, 14) (dual of [(58832, 2), 117621, 15]-NRT-code) [i]OOA Folding
5Linear OOA(4943, 39221, F49, 3, 14) (dual of [(39221, 3), 117620, 15]-NRT-code) [i]
6Linear OOA(4943, 16809, F49, 14, 14) (dual of [(16809, 14), 235283, 15]-NRT-code) [i]OA Folding and Stacking