Information on Result #698141

Linear OA(4949, 117664, F49, 16) (dual of [117664, 117615, 17]-code), using construction X applied to Ce(15) ⊂ Ce(11) based on
  1. linear OA(4946, 117649, F49, 16) (dual of [117649, 117603, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  2. 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]
  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(4949, 78549, F49, 2, 16) (dual of [(78549, 2), 157049, 17]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4949, 78549, F49, 3, 16) (dual of [(78549, 3), 235598, 17]-NRT-code) [i]
3Digital (33, 49, 78549)-net over F49 [i]
4Linear OOA(4949, 58832, F49, 2, 16) (dual of [(58832, 2), 117615, 17]-NRT-code) [i]OOA Folding
5Linear OOA(4949, 39221, F49, 3, 16) (dual of [(39221, 3), 117614, 17]-NRT-code) [i]
6Linear OOA(4949, 14708, F49, 16, 16) (dual of [(14708, 16), 235279, 17]-NRT-code) [i]OA Folding and Stacking