Information on Result #684561
Linear OA(796, 823568, F7, 16) (dual of [823568, 823472, 17]-code), using construction X applied to Ce(15) ⊂ Ce(11) based on
- linear OA(792, 823543, F7, 16) (dual of [823543, 823451, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(771, 823543, F7, 12) (dual of [823543, 823472, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(74, 25, F7, 3) (dual of [25, 21, 4]-code or 25-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(796, 546882, F7, 2, 16) (dual of [(546882, 2), 1093668, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(796, 546882, F7, 3, 16) (dual of [(546882, 3), 1640550, 17]-NRT-code) | [i] | ||
| 3 | Digital (80, 96, 546882)-net over F7 | [i] | ||
| 4 | Linear OOA(796, 411784, F7, 2, 16) (dual of [(411784, 2), 823472, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(796, 274522, F7, 3, 16) (dual of [(274522, 3), 823470, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(796, 102946, F7, 16, 16) (dual of [(102946, 16), 1647040, 17]-NRT-code) | [i] | OA Folding and Stacking | |