Information on Result #698132

Linear OA(4936, 117660, F49, 12) (dual of [117660, 117624, 13]-code), using construction X applied to Ce(11) ⊂ Ce(8) based on
  1. linear OA(4934, 117649, F49, 12) (dual of [117649, 117615, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  2. linear OA(4925, 117649, F49, 9) (dual of [117649, 117624, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  3. linear OA(492, 11, F49, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,49)), 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 OA(4942, 117710, F49, 12) (dual of [117710, 117668, 13]-code) [i](u, u+v)-Construction
2Linear OOA(4936, 77696, F49, 2, 12) (dual of [(77696, 2), 155356, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(4936, 77696, F49, 3, 12) (dual of [(77696, 3), 233052, 13]-NRT-code) [i]
4Digital (24, 36, 77696)-net over F49 [i]
5Linear OOA(4936, 58830, F49, 2, 12) (dual of [(58830, 2), 117624, 13]-NRT-code) [i]OOA Folding
6Linear OOA(4936, 39220, F49, 3, 12) (dual of [(39220, 3), 117624, 13]-NRT-code) [i]
7Linear OOA(4936, 19610, F49, 12, 12) (dual of [(19610, 12), 235284, 13]-NRT-code) [i]OA Folding and Stacking