Information on Result #698057

Linear OA(4947, 5764815, F49, 12) (dual of [5764815, 5764768, 13]-code), using construction X applied to Ce(11) ⊂ Ce(8) 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(4933, 5764801, F49, 9) (dual of [5764801, 5764768, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  3. linear OA(492, 14, F49, 2) (dual of [14, 12, 3]-code or 14-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(4953, 5764865, F49, 12) (dual of [5764865, 5764812, 13]-code) [i](u, u+v)-Construction
2Linear OOA(4947, 5618711, F49, 2, 12) (dual of [(5618711, 2), 11237375, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(4947, 5618711, F49, 3, 12) (dual of [(5618711, 3), 16856086, 13]-NRT-code) [i]
4Digital (35, 47, 5618711)-net over F49 [i]
5Linear OOA(4947, 2882407, F49, 2, 12) (dual of [(2882407, 2), 5764767, 13]-NRT-code) [i]OOA Folding
6Linear OOA(4947, 1921605, F49, 3, 12) (dual of [(1921605, 3), 5764768, 13]-NRT-code) [i]
7Linear OOA(4947, 960802, F49, 12, 12) (dual of [(960802, 12), 11529577, 13]-NRT-code) [i]OA Folding and Stacking