Information on Result #682483
Linear OA(5103, 78150, F5, 18) (dual of [78150, 78047, 19]-code), using construction X applied to Ce(17) ⊂ Ce(13) based on
- linear OA(599, 78125, F5, 18) (dual of [78125, 78026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(578, 78125, F5, 14) (dual of [78125, 78047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(54, 25, F5, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,5)), 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(5103, 48564, F5, 2, 18) (dual of [(48564, 2), 97025, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5103, 48564, F5, 3, 18) (dual of [(48564, 3), 145589, 19]-NRT-code) | [i] | ||
| 3 | Digital (85, 103, 48564)-net over F5 | [i] | ||
| 4 | Linear OOA(5103, 39075, F5, 2, 18) (dual of [(39075, 2), 78047, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5103, 26050, F5, 3, 18) (dual of [(26050, 3), 78047, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(5103, 8683, F5, 18, 18) (dual of [(8683, 18), 156191, 19]-NRT-code) | [i] | OA Folding and Stacking | |