Information on Result #684829

Linear OA(798, 16839, F7, 22) (dual of [16839, 16741, 23]-code), using construction X applied to Ce(21) ⊂ Ce(15) based on
  1. 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]
  2. linear OA(766, 16807, F7, 16) (dual of [16807, 16741, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  3. linear OA(77, 32, F7, 5) (dual of [32, 25, 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(799, 16840, F7, 22) (dual of [16840, 16741, 23]-code) [i]Code Embedding in Larger Space
2Linear OA(7100, 16841, F7, 22) (dual of [16841, 16741, 23]-code) [i]
3Linear OA(7101, 16842, F7, 22) (dual of [16842, 16741, 23]-code) [i]
4Linear OA(797, 16838, F7, 21) (dual of [16838, 16741, 22]-code) [i]Truncation
5Linear OOA(798, 16839, F7, 2, 22) (dual of [(16839, 2), 33580, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
6Linear OOA(798, 16839, F7, 3, 22) (dual of [(16839, 3), 50419, 23]-NRT-code) [i]
7Digital (76, 98, 16839)-net over F7 [i]
8Linear OA(799, 16841, F7, 22) (dual of [16841, 16742, 23]-code) [i]Construction X with VarÅ¡amov Bound
9Linear OA(7100, 16843, F7, 22) (dual of [16843, 16743, 23]-code) [i]
10Linear OA(7101, 16845, F7, 22) (dual of [16845, 16744, 23]-code) [i]
11Linear OOA(798, 8419, F7, 2, 22) (dual of [(8419, 2), 16740, 23]-NRT-code) [i]OOA Folding
12Linear OOA(798, 5613, F7, 3, 22) (dual of [(5613, 3), 16741, 23]-NRT-code) [i]