Information on Result #684817
Linear OA(790, 16831, F7, 20) (dual of [16831, 16741, 21]-code), using construction X applied to Ce(19) ⊂ Ce(15) based on
- linear OA(786, 16807, F7, 20) (dual of [16807, 16721, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- 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]
- linear OA(74, 24, F7, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,7)), 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(790, 16831, F7, 2, 20) (dual of [(16831, 2), 33572, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(790, 16831, F7, 3, 20) (dual of [(16831, 3), 50403, 21]-NRT-code) | [i] | ||
| 3 | Digital (70, 90, 16831)-net over F7 | [i] | ||
| 4 | Linear OOA(790, 8415, F7, 2, 20) (dual of [(8415, 2), 16740, 21]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(790, 5610, F7, 3, 20) (dual of [(5610, 3), 16740, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(790, 1683, F7, 20, 20) (dual of [(1683, 20), 33570, 21]-NRT-code) | [i] | OA Folding and Stacking | |