Information on Result #698067

Linear OA(4953, 5764825, F49, 13) (dual of [5764825, 5764772, 14]-code), using construction X applied to Ce(12) ⊂ Ce(7) based on
  1. linear OA(4949, 5764801, F49, 13) (dual of [5764801, 5764752, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(4929, 5764801, F49, 8) (dual of [5764801, 5764772, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  3. linear OA(494, 24, F49, 4) (dual of [24, 20, 5]-code or 24-arc in PG(3,49)), 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(4953, 5764825, F49, 2, 13) (dual of [(5764825, 2), 11529597, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4953, 5764825, F49, 3, 13) (dual of [(5764825, 3), 17294422, 14]-NRT-code) [i]
3Digital (40, 53, 5764825)-net over F49 [i]
4Linear OOA(4953, 2882412, F49, 2, 13) (dual of [(2882412, 2), 5764771, 14]-NRT-code) [i]OOA Folding
5Linear OOA(4953, 1921608, F49, 3, 13) (dual of [(1921608, 3), 5764771, 14]-NRT-code) [i]
6Linear OOA(4953, 960804, F49, 13, 13) (dual of [(960804, 13), 12490399, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row