Information on Result #684493

Linear OA(788, 5764844, F7, 12) (dual of [5764844, 5764756, 13]-code), using construction X applied to Ce(11) ⊂ Ce(5) based on
  1. linear OA(781, 5764801, F7, 12) (dual of [5764801, 5764720, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  2. linear OA(741, 5764801, F7, 6) (dual of [5764801, 5764760, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
  3. linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-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(789, 5764845, F7, 12) (dual of [5764845, 5764756, 13]-code) [i]Code Embedding in Larger Space
2Linear OOA(788, 5764844, F7, 2, 12) (dual of [(5764844, 2), 11529600, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(788, 5764844, F7, 3, 12) (dual of [(5764844, 3), 17294444, 13]-NRT-code) [i]
4Digital (76, 88, 5764844)-net over F7 [i]
5Linear OOA(788, 2882422, F7, 2, 12) (dual of [(2882422, 2), 5764756, 13]-NRT-code) [i]OOA Folding
6Linear OOA(788, 1921614, F7, 3, 12) (dual of [(1921614, 3), 5764754, 13]-NRT-code) [i]
7Linear OOA(788, 960807, F7, 12, 12) (dual of [(960807, 12), 11529596, 13]-NRT-code) [i]OA Folding and Stacking