Information on Result #698064

Linear OA(4948, 5764820, F49, 12) (dual of [5764820, 5764772, 13]-code), using construction X applied to Ce(11) ⊂ Ce(7) based on
  1. linear OA(4945, 5764801, F49, 12) (dual of [5764801, 5764756, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(493, 19, F49, 3) (dual of [19, 16, 4]-code or 19-arc in PG(2,49) or 19-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(4948, 5764820, F49, 2, 12) (dual of [(5764820, 2), 11529592, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4948, 5764820, F49, 3, 12) (dual of [(5764820, 3), 17294412, 13]-NRT-code) [i]
3Digital (36, 48, 5764820)-net over F49 [i]
4Linear OOA(4948, 2882410, F49, 2, 12) (dual of [(2882410, 2), 5764772, 13]-NRT-code) [i]OOA Folding
5Linear OOA(4948, 1921606, F49, 3, 12) (dual of [(1921606, 3), 5764770, 13]-NRT-code) [i]
6Linear OOA(4948, 960803, F49, 12, 12) (dual of [(960803, 12), 11529588, 13]-NRT-code) [i]OA Folding and Stacking