Information on Result #684474
Linear OA(7109, 5764829, F7, 16) (dual of [5764829, 5764720, 17]-code), using construction X applied to Ce(15) ⊂ Ce(11) based on
- linear OA(7105, 5764801, F7, 16) (dual of [5764801, 5764696, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(781, 5764801, F7, 12) (dual of [5764801, 5764720, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(74, 28, F7, 3) (dual of [28, 24, 4]-code or 28-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(7109, 3331449, F7, 2, 16) (dual of [(3331449, 2), 6662789, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(7109, 3331449, F7, 3, 16) (dual of [(3331449, 3), 9994238, 17]-NRT-code) | [i] | ||
| 3 | Digital (93, 109, 3331449)-net over F7 | [i] | ||
| 4 | Linear OOA(7109, 2882414, F7, 2, 16) (dual of [(2882414, 2), 5764719, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(7109, 1921609, F7, 3, 16) (dual of [(1921609, 3), 5764718, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(7109, 720603, F7, 16, 16) (dual of [(720603, 16), 11529539, 17]-NRT-code) | [i] | OA Folding and Stacking | |