Information on Result #698037

Linear OA(4925, 5764805, F49, 7) (dual of [5764805, 5764780, 8]-code), using construction X applied to Ce(6) ⊂ Ce(5) based on
  1. linear OA(4925, 5764801, F49, 7) (dual of [5764801, 5764776, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  2. linear OA(4921, 5764801, F49, 6) (dual of [5764801, 5764780, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
  3. linear OA(490, 4, F49, 0) (dual of [4, 4, 1]-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(4928, 5764855, F49, 7) (dual of [5764855, 5764827, 8]-code) [i](u, u+v)-Construction
2Linear OA(4929, 5767207, F49, 7) (dual of [5767207, 5767178, 8]-code) [i]
3Linear OA(4930, 5770755, F49, 7) (dual of [5770755, 5770725, 8]-code) [i]
4Linear OOA(4925, 5764805, F49, 2, 7) (dual of [(5764805, 2), 11529585, 8]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(4925, 5764805, F49, 3, 7) (dual of [(5764805, 3), 17294390, 8]-NRT-code) [i]
6Digital (18, 25, 5764805)-net over F49 [i]
7Linear OOA(4925, 2882402, F49, 2, 7) (dual of [(2882402, 2), 5764779, 8]-NRT-code) [i]OOA Folding
8Linear OOA(4925, 1921601, F49, 3, 7) (dual of [(1921601, 3), 5764778, 8]-NRT-code) [i]
9Linear OOA(4925, 1921601, F49, 7, 7) (dual of [(1921601, 7), 13451182, 8]-NRT-code) [i]OOA Folding and Stacking with Additional Row