Information on Result #682484
Linear OA(596, 78150, F5, 17) (dual of [78150, 78054, 18]-code), using construction X applied to Ce(16) ⊂ Ce(12) based on
- linear OA(592, 78125, F5, 17) (dual of [78125, 78033, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(571, 78125, F5, 13) (dual of [78125, 78054, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(596, 42896, F5, 2, 17) (dual of [(42896, 2), 85696, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(596, 42896, F5, 3, 17) (dual of [(42896, 3), 128592, 18]-NRT-code) | [i] | ||
| 3 | Digital (79, 96, 42896)-net over F5 | [i] | ||
| 4 | Linear OOA(596, 39075, F5, 2, 17) (dual of [(39075, 2), 78054, 18]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(596, 26050, F5, 3, 17) (dual of [(26050, 3), 78054, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(596, 9768, F5, 17, 17) (dual of [(9768, 17), 165960, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |