Information on Result #684657
Linear OA(783, 117671, F7, 16) (dual of [117671, 117588, 17]-code), using construction X applied to Ce(15) ⊂ Ce(11) based on
- linear OA(779, 117649, F7, 16) (dual of [117649, 117570, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(761, 117649, F7, 12) (dual of [117649, 117588, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(74, 22, F7, 3) (dual of [22, 18, 4]-code or 22-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(783, 89769, F7, 2, 16) (dual of [(89769, 2), 179455, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(783, 89769, F7, 3, 16) (dual of [(89769, 3), 269224, 17]-NRT-code) | [i] | ||
| 3 | Digital (67, 83, 89769)-net over F7 | [i] | ||
| 4 | Linear OOA(783, 58835, F7, 2, 16) (dual of [(58835, 2), 117587, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(783, 39223, F7, 3, 16) (dual of [(39223, 3), 117586, 17]-NRT-code) | [i] | ||