Information on Result #684795

Linear OA(7109, 16825, F7, 25) (dual of [16825, 16716, 26]-code), using construction X applied to Ce(24) ⊂ Ce(21) based on
  1. linear OA(7106, 16807, F7, 25) (dual of [16807, 16701, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  2. linear OA(791, 16807, F7, 22) (dual of [16807, 16716, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(73, 18, F7, 2) (dual of [18, 15, 3]-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(7110, 16826, F7, 25) (dual of [16826, 16716, 26]-code) [i]Code Embedding in Larger Space
2Linear OOA(7109, 14594, F7, 2, 25) (dual of [(14594, 2), 29079, 26]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(7109, 14594, F7, 3, 25) (dual of [(14594, 3), 43673, 26]-NRT-code) [i]
4Digital (84, 109, 14594)-net over F7 [i]
5Linear OOA(7109, 8412, F7, 2, 25) (dual of [(8412, 2), 16715, 26]-NRT-code) [i]OOA Folding
6Linear OOA(7109, 5608, F7, 3, 25) (dual of [(5608, 3), 16715, 26]-NRT-code) [i]
7Linear OOA(7109, 1402, F7, 25, 25) (dual of [(1402, 25), 34941, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row