Information on Result #698118

Linear OA(4935, 117656, F49, 12) (dual of [117656, 117621, 13]-code), using construction X applied to Ce(11) ⊂ Ce(9) 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(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(491, 7, F49, 1) (dual of [7, 6, 2]-code), 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(770, 235312, F7, 12) (dual of [235312, 235242, 13]-code) [i]Trace Code
2Linear OA(4941, 117706, F49, 12) (dual of [117706, 117665, 13]-code) [i](u, u+v)-Construction
3Linear OA(4942, 117709, F49, 12) (dual of [117709, 117667, 13]-code) [i]
4Linear OOA(4935, 58828, F49, 2, 12) (dual of [(58828, 2), 117621, 13]-NRT-code) [i]OOA Folding
5Linear OOA(4935, 39218, F49, 3, 12) (dual of [(39218, 3), 117619, 13]-NRT-code) [i]
6Linear OOA(4935, 19609, F49, 12, 12) (dual of [(19609, 12), 235273, 13]-NRT-code) [i]OA Folding and Stacking